How do I answer this?

How Do I Answer This?

Answers

Answer 1

c = 30 inch

Step-by-step explanation:

perpendicular (p) = 18 inch

base(b) = 24 inch

hypotenuse (h) = ?

we know by using Pythagoras theorem

h² = p² + b²

h² = 18² + 24²

h² = 324 + 576

h² = 900

h= √900

therefore h = 30 inch

Hope it will help you. :)

Answer 2

Answer:

(30)Pythagorean theorem a^2+b^2=c^2

Step-by-step explanation:

18^2+24^2=c^2

square root 900 and the answer is 30

sorry if wrong i tried


Related Questions

It is rare to prove a hypothesis as incorrect through experimentation. Please select the best answer from the choices provided T F

Answers

9514 1404 393

Answer:

  F

Step-by-step explanation:

A hypothesis is usually proven incorrect when it fails to explain an observation. The offered statement is False. Experimentation is the most common way a hypothesis is proven incorrect.

Answer:

f

Step-by-step explanation:

The community center provides tutoring for students p. The cost of the tutoring is $18 per session. Write an equation to model the total cost (c), after (s) sessions

A) c=18s
B) c= 18+s
C) c= s-18
D) s=18c

Pls hurry

Answers

Answer: A) c=18s

Step-by-step explanation: Each session means we are multiplying so we can eliminate B and C so next we must understand where to place our variables. If it is 18 per session then 18s would be the equation and equal the total cost (c) soo the answer is c=18s

answer: C. c= s-18

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them was at the 80% confidence level and the other was at the 90% level, which of the following statements is true? Group of answer choices The margin of error is larger in the 90% CI than in the 80% CI. The margin of error is the same in the 90% CI as it is in the 80% CI. The margin of error is smaller in the 90% CI than in the 80% CI. There is not enough information to determine which of the above statements is true.

Answers

Answer: The margin of error is larger in the 90% CI than in the 80% CI.

Step-by-step explanation:

Confidence interval is written as

Sample mean ± margin of error

Margin of error = z × population standard deviation/number of samples

The z score for a 90% confidence level(1.645) is higher than the z score for a 80% confidence level(1.282)

If all other parameters(sample size and population standard deviation) remain the same, then the true statement is

The margin of error is larger in the 90% CI than in the 80% CI.

Option(A) The margin of error is larger in the 90% confidence interval than in the 80% CI because as the confidence level increases, a wider interval is required to maintain more certainty that it encompasses the true population parameter.

If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them is at the 80% confidence level and the other is at the 90% confidence level, the margin of error is larger in the 90% CI than in the 80% CI. This is because the margin of error (EBM) depends on the confidence level. A higher confidence level requires a wider interval to ensure that it captures the true population parameter with more certainty.

To construct a confidence interval, we use the form (point estimate − margin of error, point estimate + margin of error), where the margin of error depends on the confidence level and the standard error of the mean. Thus, as the confidence level increases from 80% to 90%, the margin of error needs to increase as well, resulting in a wider interval. This can be observed by comparing the 90 percent confidence interval to a 99 percent confidence interval, where the latter is wider because it leaves out less of the distribution in the tails and hence contains more of the normal distribution's probability.

A plane rises from​ take-off and flies at an angle of 10 degrees with the horizontal runway. When it has gained 900 ​feet, find the​ distance, to the nearest​ foot, the plane has flown. An airplane is at vertex B of a right triangle that has a horizontal side AC, a vertical side BC of length 900 feet, and a dashed hypotenuse AB of unknown length c that rises from left to right. Angle C is the right angle and angle A measures 10 degrees. 10 degrees c equals question mark 900 ft A B C

Answers

Answer: The plane has flown 5,183 feet (approximately)

Step-by-step explanation: First and foremost, the plane is at vertex B of a right angled triangle ABC, and angle A measures 10°. Also the vertical side BC is the distance covered by the plane which in this case is the hypotenuse. The line BC is facing angle A which is the reference angle, hence line BC is the opposite.

With this bit of information we can calculate the distabce flown (hypotenuse) as follows;

Sin A = opposite ÷ hypotenuse

Sin 10 = 900/c

By cross multiplication we now have;

c = 900/Sin 10

c = 900/0.17364817766693

c = 5182.89

c ≈ 5183

Therefore the plane has flown 5,183 feet (approximately)

Final answer:

To find the distance the plane has flown, use the cotangent of the given angle (10 degrees) and multiply with the opposite side length (900 feet). The resulting value, rounded to the nearest foot, is the distance flown.

Explanation:

In this scenario, we have a right triangle where it's given that the vertical side BC = 900 feet, the angle at A is 10 degrees, and we need to find the length of the hypotenuse AB (distance the plane has flown). For a right triangle, the trigonometric property that relates the angle with the sides is tangent (tan), defined as the ratio of the opposite side to the adjacent side.

However, in this case, we need to use its reciprocal function, cotangent (cot), which gives the ratio of the adjacent side to the opposite side. As we know the opposite side (900 feet) and the angle (10 degrees), we can find the length of the hypotenuse (AB) using the cotangent of the angle, i.e., cot(10 degrees) = AB/900. So, AB = cot(10 degrees) * 900.

On calculating the above expression and rounding to the nearest foot, you get the distance the plane has flown.

Learn more about Trigonometry in Right Triangles here:

https://brainly.com/question/31896723

#SPJ

The height of the tide in a small beach town is measured along a seawall. Water levels oscillate between 7 feet at low tide and 15 feet at high tide. On a particular day, low tide occurred at 7:30 AM and high tide occurred at 1:00 PM.

Answers

Question:

Write a cosine function of the form f(t)= Acos(Bt) where A and B are real numbers that models the water level f(t) as a function of time measured in t hours since 8:30 a.m.

Answer:

The equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex]

Step-by-step explanation:

From the required equation, we have for a wave form

f(t) = A·cos(B·t)

A = Amplitude of the wave

B = The period of the wave

t = Time of wave

The period can be derived as follows

We have 7:30 to 1:00 is 5.5 hrs, therefore one full cycle occurs in 11 hours

The period is given by;

[tex]Period = \frac{2\pi }{B}[/tex]

Therefore,

[tex]\frac{2\pi }{B} = \frac{13}{1}[/tex] so that

[tex]The \, period \, B = \frac{2\pi }{13}[/tex]

The amplitude is given as the maximum displacement from the position at rest. Therefore, the amplitude = (15 - 7)/2 = 4 feet

Therefore the equation of the cosine function that models the water level as a function of time is;

[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex].

A square with center point C has a radius of 6 cm. Find the area of the square.

Answers

The area of a square given its radius is [tex]144 cm^2[/tex]

To find the area of a square when given the radius of a circle inscribed in the square, we need to use the diameter of the circle, which is twice the radius, to determine the side length of the square.

The radius provided in this question is 6 cm.

The area of a square can be found using the formula: [tex]A = side^2.[/tex]

In this case, since we're given the radius, we need to calculate the side length first, which is 2 * radius.

Therefore, side length = 2 * 6 cm = 12 cm.

Now, calculate the area: A = 12 cm * 12 cm = [tex]144 cm^2[/tex]

You deposit $200 in an account earning 3.5% simple interest. How long will it take for the balance of the account to be $249? Write down the formulas you are going to use.

Answers

Answer:

7 years

Step-by-step explanation:

Simple interest is given by

I = PRT where I is the interest, P is the principle r is the rate and t is time

If we have 249 in the account and started with 200,

the interest is 249-200 = 49

The principle is 200 and the rate is 3.5% or in decimal form .035

Putting into the equation

49 = 200 (.035) t

49 =7t

Divide each side by 7

49/7 = 7t/7

7 =t

It will take 7 years

Answer:

7 years

Step-by-step explanation:

I = P×r×t

I = 249 - 200 = 49

49 = 200 × (3.5/100) × t

t = 49/7

t = 7

Annie has 7 strokes and Steven has -8 strokes how many more strokes does annie have then Steven

Answers

Answer:

I mean I dont know how someone can have -8 strokes but if so annie has 15 more strokes then steven

Annie has 15 more stokes then Steven

please help !!! i’ve been ignored all day ! show how you calculate the percent step by step, thanks!

The population of Texas was 3 433 145 in 2008
and 3 520 268 in 2009.


calculate the percent.

Answers

Answer:

step1

subract 2008population froom 2009 popultion

step2

answer that was subracted divide that by total area of the texas

Can someone do this for me and if so marking brainliest. Urgent

Answers

Answer:

1. 1/3, 4

2. 3/5, -2

3. 4, 1

4. -3/2, 3

5. 1, 4

Step-by-step explanation:

- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.

- The y-intercept is where the number hits the y-axis when at 0.


A project manager has determined that 3/10 of the work for a project was completed in 9 days. How many more days
will it take to finish the project if the work continues to progress at the same rate?

Answers

Final answer:

If 3/10 of the project was completed in 9 days, then the total project takes 30 days to complete. Therefore, it will take 21 more days to finish the remaining work.

Explanation:

The given problem involves a basic understanding of ratios and proportions, specifically applied to the concept of time and work. We know from the problem that 3/10 of the work was completed in 9 days. If that amount of work represents 3/10, then 1 whole or the complete work would be (10/3) times that much. We can set up the proportion as follows: 3/10 = 9/x. Solving for x gives us x = (10/3) * 9 = 30 days. So, at the same rate of work, it will take 30 days to complete the project. However, since 9 days of work have already been done, the project can be finished in 30 - 9 = 21 more days.

Learn more about ratios and proportions here:

https://brainly.com/question/31776433

#SPJ2

find the value of x in given right triangle

Answers

Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :)

The value of x when rounded to nearest 10th will be 6.0

Given: a right angled triangle with hypotenuse equal to 10 units and angle opposite to the perpendicular equal to 37°

To find: value of the perpendicular [tex]x[/tex]

To find the perpendicular we can use trigonometric equation:

[tex]\sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}}[/tex]

where [tex]\theta[/tex] is the angle opposite to the perpendicular

Putting the values in the equation we get:

[tex]\sin 37 = \frac{x}{10}\\[/tex]

[tex]0.6018 = \frac{x}{10}\\[/tex]

[tex]x= 0.6018 \times 10\\x = 6.018[/tex]

So, the value of the perpendicular (x) is 6.018 units but when rounded to nearest 10th we get 6.0


Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of 8/3 inches 9 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of 11/5 inches. What is the volume of the bin with the greatest volume? Explain your answer.

Answers

Answer:

red bin

Step-by-step explanation:

Suppose that Lady Gaga goes to Las Vegas to play poker and at the last minute her record company says it will reimburse her for 35 percent of any gambling losses that she incurs.
a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?
b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior?

Answers

Answer:

Refer below.

Step-by-step explanation:

a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?

Lady Gaga wager MORE.

b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior.

The economic concept answer illustrate is MORAL HAZARD.

Due to the reimbursement clause offered to Gaga on losses made, then she will wager more. However, this could in moral hazard.

With a reimbursement clause of 35% on losses made, Lady Gaga will be buoyed by the fact that, she'll recoup 35% of her bet if she losses, then she'll most likely wager more.

By promoting Lady Gaga on gambling, it could spark a moral effect, causing youths to adore and become more indulged in the act of gambling.

Learn more : https://brainly.com/question/7390205

What is the completely factored form of
x3 + 4x2 – 9x – 36?

Answers

Answer:

(x + 4) (x - 3) (x + 3)

Step-by-step explanation:

1) wrote down the problem
2) Greatest common factor
3) wrote down the factors
4) simplify the (x2-9) more to (x+3) and (x-3)

What is (2x10^1) the answer in scientific notation

Answers

It is 21 pretty easy

Randy charges his tenants $425 each month to rent his house plus a $600 5
security deposit (you only pay this 1 time). What equation best represents
how much his tenants will have to pay?*

Answers

Answer:

y = 425x + 600

Step-by-step explanation:

So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.

Find the equation for the volume of a cone and the volume of a cylinder. Solve both equations for "radius of the base".

Answers

Answer:

The formula to find the volume of a cylinder is v = πr2h. The formula to find the volume of a cone is V = 1/3πR2H

Step-by-step explanation:

The V is for volume, the H is for height, and the R is for radius.

Final answer:

The formula for the volume of a cone is V = (1/3)πr²h and the formula for the volume of a cylinder is V = πr²h. To solve for the radius, rearrange the formulas.

Explanation:

The formula for the volume of a cone is given by: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To solve for the radius, rearrange the formula as: r = √((3V)/(πh)).

The formula for the volume of a cylinder is given by: V = πr²h, where r is the radius of the base and h is the height of the cylinder. To solve for the radius, rearrange the formula as: r = √((V)/(πh)).

Learn more about Volume of Cone and Cylinder here:

https://brainly.com/question/35468510

#SPJ12

A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter. The central angle formed by the peach cobbler is 105 degrees. The central angle formed by the pasta is 203 degrees. What is the approximate length of the arc of the section containing the peas? A. 3 inches B. 21 inches C. 16 inches D. 5 inches HURRY!!!

Answers

Answer:

The answer would be about 5

Step-by-step explanation:

You would have to add the Peach cobbler degree (105) and the pasta degree (203), then you would subtract that by 360 to get 52. Then you would divide that by 360 to get about .14, then mutiply that by 2(pi)(6) = 5.44 which is about 5.

Step A: a (x + StartFraction b Over 2 a EndFraction) squared = –c + StartFraction b squared Over 2 a EndFraction a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction Step B: a (x + StartFraction b Over 2 a EndFraction) squared = StartFraction negative 4 a c + b squared Over 4 a EndFraction (one-half) a (x + StartFraction b Over 2 a EndFraction) squared = (StartFraction 1 Over a EndFraction)(StartFraction b squared minus 4 a c Over 4 a EndFraction) Determine the justification for the steps from the derivation of the quadratic formula. Justification of step A: Justification of step B:

Answers

Answer:

Justification of step A: common denominator

Justification of step B: multliplication property of equality

Step-by-step explanation:

i got it right.

The justification for the steps from the derivation of the quadratic formula of step A is the use of common denominator.

The justification for the steps from the derivation of the quadratic formula of step A is the use of multiplication property of equality.

The given equations for step A;

[tex]a(x + \frac{b}{2a} )^2 = -c + \frac{b^2}{2a} \\\\a (x + \frac{b}{2a} )^2= \frac{-4ac + b^2}{4a}[/tex]

The given equations for step B;

[tex]a (x + \frac{b}{2a} )^2 = \frac{-4ac + b^2}{4a} \\\\\frac{1}{2} a(x + \frac{b}{2a} )^2 = (\frac{1}{a} )(\frac{b^2- 4ac}{4a} )[/tex]

The justification for the steps from the derivation of the quadratic formula of step A is determined as follows;

The common denominator 4a was used to convert the mixed fraction into improper fraction.

The justification for the steps from the derivation of the quadratic formula of step B is determined as follows;

The use of multiplication property of equality.

Learn  more about derivation of quadratic formula here: https://brainly.com/question/13759985

Someone please help me this is the last question on my homework. I have to write a quadratic equation for this word problem...
You are riding a ski lift at a position 57 feet off the ground. You spot one of your friends skiing below. To get his attention you chuck a snowball at him. How long will it take to hit your friend's head who is 42 feet below? Your friend is 5 1/2 feet tall.

Answers

Answer: 13 mins

Step-by-step explanation:

In​ statistics, what is true of​ randomness? Choose the correct answer below. A. Randomness should be avoided because it can lead to incorrect answers. B. Randomness can be achieved by writing a sequence with no structure. C. Randomness is hard to achieve without help from a computer or some other randomizing device. D. Randomness means having no apparent pattern.

Answers

Answer:

The correct answer in this case,would be option D. or Randomness means having no apparent pattern.

Step-by-step explanation:

From a statistical perspective, in any research or study,randomness of the sample can eventually lead to unbiased and approximately accurate estimation of the actual population parameters chosen for the study.A statistical researcher commonly ensure the randomness of any sample through its selection process which is unbiased or not guided by any pre-selected criteria,preferences,conditions and/or patterns.Hence, in statistical study a random sample is chosen arbitrarily with regards to the actual target population of the research or study and does not exhibit any predetermined recognizable or fixed pattern or characteristics. This will eventually ensure the normalization of the random sample and increasing the size of the random sample can possibly generate unbiased estimation of the actual population parameters in any statistical analysis.
Final answer:

In statistics, randomness means having no apparent pattern. It refers to the lack of predictability in events, where individual outcomes are unpredictable but there is typically a regular distribution of outcomes in a large number of repetitions. We often use random number generators to produce random data.

Explanation:

In the field of statistics, the term randomness has a very specific meaning. It refers to the lack of pattern or predictability in events. Randomness is present when individual outcomes are uncertain, but there is nonetheless a regular distribution of outcomes in a large number of repetitions.

The correct answer from your options would be 'D. Randomness means having no apparent pattern.' This is because randomness doesn't necessarily mean chaos or that we cannot make sense of random phenomena. We often study randomness in order to understand it better, especially in the field of statistics, where we try to analyze and describe random phenomena.

Option 'C. Randomness is hard to achieve without help from a computer or some other randomizing device' could also be considered partially true, as true randomness is challenging to achieve, especially in a controlled setting, and we often use random number generators to produce random data. However, the statement doesn't as comprehensively define randomness as option D does.

Learn more about Randomness here:

https://brainly.com/question/33724098

#SPJ6

A glass marble has a diameter of 17 millimeters. What is the approximate volume of the marble? Use 3.14

Answers

Answer:

v=2571.13667 mm^3

Step-by-step explanation:

A marble is a sphere, and the volume of a sphere can be found using:

[tex]v=\frac{4}{3} \pi r^3[/tex]

We need to find the radius, and we know that the radius is 1/2 of the diameter

r=d/2

r=17/2

r=8.5

Now we can substitute 8.5 in for r, and 3.14 in for pi

[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]

[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]

[tex]v=\frac{4}{3}(1928.3525)[/tex]

[tex]v=2571.13667 mm^3[/tex]

Final answer:

The volume of a glass marble with a diameter of 17 mm is approximately 2600 mm³ (2.6 cm³) when computed using the formula V = (4/3) πr³ and 3.14 as the value for π, with the final result rounded to two significant figures.

Explanation:

To calculate the volume of a glass marble with a diameter of 17 millimeters using 3.14 as the value of π (pi), we use the formula for the volume of a sphere, which is V = (4/3) πr³.

First, we need to find the radius of the marble, which is half the diameter. The diameter is 17 mm, so the radius is 17 mm ÷ 2 = 8.5 mm. Substituting the radius into the volume formula, we get V = (4/3) × 3.14 × (8.5 mm)³.

Calculating the radius to the third power, (8.5 mm)³ = 614.125 mm³. Multiply this by 3.14: 614.125 mm³ × 3.14 = 1928.3525 mm³. Then multiply by 4/3: × (4/3) = 2571.1367 mm³. Since the measured value of volume is limited by the number of significant figures, we need to round this to two significant digits. Therefore, the approximate volume of the marble is 2600 mm³ (2.6 cm³) after rounding off. Please note that the measured value of 17 mm only has two significant figures, so the final answer must also reflect this limitation.

A parallelogram has one angle that measures 55°. What are the measures
of the other three angles in the parallelogram?

Answers

Answer:

this is an example:

In a parallelogram, like in any other quadrilateral, the sum of the measures of the interior angles is 360 degrees. Also in a parallelogram, if you have one angle that is 65 degrees, you must also have a second angle that is 65 degrees, so the sum of those two angles is 130 degrees. The sum of the other two angles, which are of identical measure, is then 360 minus 130 equals 230 degrees. Divide 230 by 2 to get the measure of the other two angles.

Step-by-step explanation:

Final answer:

In a parallelogram with one angle measuring 55°, the other three angles are two measuring 55° and two measuring 125° due to the properties of parallelograms where opposite angles are equal and consecutive angles sum to 180°.

Explanation:

A parallelogram has one angle that measures 55°. The measures of the other three angles in the parallelogram can be determined knowing that opposite angles in a parallelogram are equal, and consecutive angles are supplementary (sum to 180°). Because one angle is 55°, the opposite angle must also be 55°. The adjacent angles must sum up to 180°, so they each must be 180° - 55° = 125°. Therefore, the parallelogram has two angles measuring 55° and two angles measuring 125°.

Write the ratio as a fraction: 630 kilometers in 5 hours. Simplify your answer.

Answers

630:5 as a fraction would be 630/5.
630/5 simplified would be 126/1.

The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

Given that,

630 kilometers ⇔ 5 hour

Divide both sides by 5

630/5 kilometers ⇔ 5/5 hour

126 kilometers ⇔ 1 hour

The ratio of kilometers to an hour in fraction form ⇒ 126/1

Hence "The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

What is the value of n in the equation below?

StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
3
6
12
27

Answers

Answer

12

Step-by-step explanation:

in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)

Answer:

12

Step-by-step explanation:

got 100 on the test.

True or False? You can represent the distance of an object underground using negative numbers.

Answers

Answer:

True

Step-by-step explanation:

Is this a statistical question. At what
what temperature (in degrees
Fahrenheit) does water freeze?

Answers

Answer:No, it is not a statistical question.Freezing point of water = 32 degrees fahreinheit

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Freezing point of water = 32 degrees fahreinheit

Freezing happens when the molecules of a liquid get so cold that they slow down enough to hook onto each other, forming a solid crystal.

Therefore, this is not a statiscal question, but a determinisatic question.

This question is not statistical because it asks for a specific fact: water boils at 100 degrees Celsius at sea level.

A statistical question involves variability and is usually answered by collecting and analyzing data from multiple sources. For example, 'What is the average boiling point of water in various cities at sea level?' would be a statistical question.

However, asking about the temperature at which water boils at sea level is asking for a specific fact. The boiling point of water at sea level is 100 degrees Celsius, a fact that does not vary under standard atmospheric pressure.

The complete question is

Is this a statistical question.

At what temperature (in degrees Fahrenheit) does water freeze?

yes , no

The figure has been decomposed into three rectangles as shown. A figure is decomposed into 3 rectangles. The rectangles are 4 inches by 2 inches, 6.5 inches by 2 inches, and 4 inches by 1.5 inches. Find the area of each piece of the composite figure. The area of the top rectangle is A = 4 in.(2 in.) = 8 in2. The area of the middle rectangle is A = 2 in.( in.) = in2. The area of the bottom rectangle is A = 4 in.( in.) = in2. The total area of the figure is in2.

Answers

The correct total area of the figure is 25 inches squared.

To find the area of each piece of the composite figure, we calculate the area of each rectangle by multiplying its length by its width.

1. The area of the top rectangle is calculated as:

[tex]\[ A_{\text{top}} = 4 \text{ in} \times 2 \text{ in} = 8 \text{ in}^2 \][/tex]

2. The area of the middle rectangle is calculated as:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} \][/tex]

Since 6.5 is the same as [tex]\(\frac{65}{10}\)[/tex] or [tex]\(\frac{13}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{middle}} = \frac{13}{2} \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

3. The area of the bottom rectangle is calculated as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times 1.5 \text{ in} \][/tex]

Since 1.5 is the same as [tex]\(\frac{3}{2}\)[/tex], we can calculate the area as:

[tex]\[ A_{\text{bottom}} = 4 \text{ in} \times \frac{3}{2} \text{ in} = 6 \text{ in}^2 \][/tex]

Now, to find the total area of the figure, we sum the areas of the three rectangles:

[tex]\[ A_{\text{total}} = A_{\text{top}} + A_{\text{middle}} + A_{\text{bottom}} \][/tex]

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

However, there seems to be an error in the calculation of the middle rectangle's area. The correct calculation should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

But since the total area given in the question is stated to be correct, we need to re-evaluate our calculations. The correct area for the middle rectangle should be:

[tex]\[ A_{\text{middle}} = 6.5 \text{ in} \times 2 \text{ in} = 13 \text{ in}^2 \][/tex]

Thus, the correct total area of the figure is:

[tex]\[ A_{\text{total}} = 8 \text{ in}^2 + 13 \text{ in}^2 + 6 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{total}} = 27 \text{ in}^2 \][/tex]

It appears there was a mistake in the initial total area provided. The correct total area is 27 inches squared, not the blank given in the question. However, if we are to match the given total area in the question, which is left blank, we must assume that the total area is indeed 25 inches squared, as stated at the beginning of this solution. This would imply that there was an error in the given dimensions or in the calculation of one of the rectangles' areas. To achieve a total area of 25 inches squared, we would need to adjust one of the calculated areas. Since the top and bottom rectangles' areas are correct, the middle rectangle's area must be adjusted to:

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - (8 \text{ in}^2 + 6 \text{ in}^2) \][/tex]

[tex]\[ A_{\text{middle}} = 25 \text{ in}^2 - 14 \text{ in}^2 \][/tex]

[tex]\[ A_{\text{middle}} = 11 \text{ in}^2 \][/tex]

This adjusted area for the middle rectangle would mean that the actual width of the middle rectangle is not 6.5 inches but rather:

[tex]\[ 11 \text{ in}^2 / 2 \text{ in} = 5.5 \text{ in} \][/tex]

Therefore, with the given total area of 25 inches squared, the areas of the individual rectangles are 8 inches squared for the top, 11 inches squared for the middle, and 6 inches squared for the bottom, with the middle rectangle having an actual width of 5.5 inches instead of 6.5 inches.

Yesterday, Craig's Doughnut Shop sold 1 3/4 times as many chocolate doughnuts as cinnamon doughnuts. If they sold 3 2/5 trays of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?

Answers

Answer:

The answer is 3 3/10

Step-by-step explanation:

1 3/4 × 3 2/5 can be solved by 1×3 and 3/4 × 2/5. That makes 3 3/10

Other Questions
What did Thomas Addison have to do to make a lightbulb work what is threatened by an increase in fungal diseases? check all that apply. On July 8, Ace, a refrigerator wholesaler, purchased 50 refrigerators. This comprised Ace's entire inventory and was financed under an agreement with Rome Bank that gave Rome a security interest in all refrigerators on Ace's premises, all future acquired refrigerators, and the proceeds of sales. On July 12, Rome filed a financing statement that adequately identified the collateral. On August 15, Ace sold one refrigerator to Cray for personal use and four refrigerators to Zone Co. for its business.Which of the following statements is correct?A. The refrigerators sold to Zone will be subject to Rome's security interest.B. The refrigerator sold to Cray will not be subject to Rome's security interest.C. The security interest does not include the proceeds from the sale of the refrigerators to Zone.D. The security interest may not cover after-acquired property even if the parties agree. Find four solutions of the equation. Write the solutions as ordered pairs. y = x+5 the figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net? enter your answer in the box. What could cause damage to your bikes wheel?A)twisting the tube around the wheelB)riding your bike with a flat tireC)air escaping from the tubeD)under-inflating the tire Find the solutions of the quadratic equation Choose 1 answer: instrument used to measure the length of a football field Which of the following statements is FALSE?a.Modern natural gas drilling may leak dangerous chemicals into the drinking water supply.b.The hydraulic fracturing process is a type of aquifer.c.The Texas Water Commission oversees the quality and conservation of water resources in Texas.d.The expected increase in Texas population over the next 50 years makes water conservation and protection a top priority in the state.Please select the best answer from the choices providedABCD find the sum of 253,965 and 1,563,001 write the answer in words Which value of x makes the equation true?x + 7 = -9 Michelle's Monopoly Mutant Turtle (MMMT) has the exclusive right to sell Mutant t-shirts in the United States. The demand for these t-shirts is Qequals=StartFraction 22 comma 500 Over Upper P squared EndFraction 22,500 P2. The firm's short-run cost is SRTCequals=10761076plus+66Q, and its long-run cost is LRTCequals=77Q. What quantity should MMMT sell to maximize profit in the short run? A uniform magnetic field passes through a horizontal circular wire loop at an angle 15.1 from the vertical. The magnitude of the magnetic field B changes in time according to the equation B(t)=(3.75 T)+(2.75 Ts)t+(7.05 Ts2)t2 If the radius of the wire loop is 0.210 m, find the magnitude of the induced emf in the loop when t=5.63 s. By September 1937 nationalists and communists in China had a.largely lost the capability to fight. b.begun to fight against each other as fiercely as they fought against the Japanese. c.agreed on a "united front" policy against the Japanese. d.reached out to Japanese occupiers with peace offerings. e.begun to work with the Germans to fight Japan. A space cowboy wants to eject from his spacecraft 1.00105 km after passing a space buoy, as seen by spectators at rest with respect to the buoy. To do this, the cowboy sets a timer on his craft that will start as he passes the buoy. He plans to cruise by the buoy at 0.217c.How much time should he allow between passing the buoy and ejecting?options:1.50 s1.70 s1.30 s1.60 s1.55 s Subtract the fractions and reduce to lowest terms. 1/ 3 1/ 12 Which of these statements describes the outcome of battle of Fredericksburg The union suffered a heavy defeat. The confederacy was forced to be retreat The union were outnumbered. summarize the physical reasons that sound waves travel at different speeds through different mediums 6. Suppose Steve goes fishing near the nuclear power plant at Hawkins. Hes interested in catching King Salmons and Walleyes. Assume the following: All species of fish in the lake have weights that are normally distributed. The weight of the King Salmons are i.i.d. Normal with K = 150 lbs and K = 10 lbs. Let K be the weight of a randomly caught King Salmon. The weight of the Walleyes are i.i.d. Normal with W = 51 lbs and W = 9 lbs. Let W be the weight of a randomly caught Walleye. (a) (3 points) Suppose Steve catches 4 King Salmons at random. What is the probability that the total weight of the King Salmons caught is greater than 575 lbs? The radius of a dog's collarshould be at least 0.5 inch larger thanthe radius of the dog's neck. A dog collaradjusts to a circumference of 10 to14 inches. Should the collar be wornby a dog with a neck circumference of12.5 inches? Explain.