How can you use the Pythagorean Theorem to solve real-world problems?
You can use the Pythagorean Theorem to find missing ________ (angles or lengths) in objects that are_________. ( squares, right triangles, or equilateral Triangles)
​

Answer:

The correct answers are Option 4 55(108/100)  and Option 1 55(1.08)

Step-by-step explanation:

To begin, we must analyze the information we have and establish the result, in order to compare it with the results of the operations that the answers offer.

We know that the total Charlie pays for his cell phone plan is $ 55 + 8% tax.

One of the possible ways in which you can calculate a percentage would be in this case:

(55.8) : 100

440 : 100 = 4.40

This indicates that the tax was 4.4 added to 55, giving us a total of 59.4.

Now we just have to check that options 4 and 1 are correct. Let's see:

55 (108/100) =

55 (1.08) = 59.94

This last section is exactly the same as option 1, which also makes it a correct answer.

Answer:

Okay, so 2 years later, here's your answer.

472 adult tickets and 868 student tickets were sold.

Step-by-step explanation:

Let x be the number of adult tickets sold.

Let y be the number of student tickets sold.

Your Equations:

x + y = 1340 tickets

5x + (1)y = $3228

Isolate the y variable:

y = 1340 - x

y = 3228 - 5x

Substitute:

1340 - x = 3228 - 5x

Solve:

1340 - x = 3228 - 5x

Add 5x on both sides

1340 + 4x = 3228

Subtract 1340 on both sides

4x = 1888

Divide 4 on both sides

x = 472

Plug in x into an equation:

472 + y = 1340

Subtract 472 on both sides

y = 868

472 adult tickets were sold

868 student tickets were sold.

Voted myself a 1-star XD

Answer:

1875 cm>3 i think

Step-by-step explanation:

Answer:

312 square feet

Step-by-step explanation:

Each square is 11 x 12 feet which is 132 times 2 for the front and back, which is 264 feet. Then, the triangles at the top have a height of 4 feet (15-11) and a base of 12 feet, so because there are 2 triangles, the result is 12x4=48. Then, you add 264 to 48 and all done.

Hiromi will need to buy 19 cans of paint to cover the entire front and back of the barn.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, The front and back of the barn each have an area of;

11ft x 12ft = 132 square feet.

Since Hiromi is painting the front and back, the total area to be painted is:

2 x 132 = 264 square feet

Similarly, the two sides of the barn each have an area of

11ft x 15ft = 165 square feet.

Since there are two sides, the total area of the sides to be painted is:

2 x 165 = 330 square feet

The total area to be painted is the sum of the front/back area and the side area:

264 + 330 = 594 square feet

Since each can of paint covers 32 square feet, the number of cans of paint Hiromi needs is:

594 / 32 ≈ 18.56 cans

Since, Hiromi cannot buy a fraction of a can of paint,

Hence, she will need to buy 19 cans of paint to cover the entire front and back of the barn.

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Answer:

32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)

Step-by-step explanation:

Answer:

area is 6.9cm2

Step-by-step explanation:

you just multiply it out and divide by 2

Answer:

P 81 = 73.5

Step-by-step explanation:

This is a normal distribution problem with a mean of 63.2 and standard deviation of 11.7.

Let the number that separates the bottom 81% from the top 19% be x' and let it's z-score be z'.

P(x ≤ x') = P(z ≤ z') = 0.81

Using the normal distribution table,

z' = 0.878

But note that the z-score for any value is that value minus the mean divided by standard deviation.

z' = (x' - μ)/σ

0.878 = (x' - 63.2)/11.7

x' = 73.4726 = 73.5 to 1 d.p

Hope this Helps!!!

Final answer:

To find the value that separates the bottom 81% from the top 19%, you can use the z-score formula and the given mean and standard deviation to calculate the desired value.

Explanation:

To find the value that separates the bottom 81% from the top 19%, we need to find the z-score corresponding to the 81st percentile.

Using the formula Z = (X - μ) / σ where X is the given value, μ is the mean, and σ is the standard deviation, we can rearrange it to solve for X as:

X = Z * σ + μ

Since we know the mean is 63.2 and the standard deviation is 11.7, we can calculate the z-score corresponding to the 81st percentile (0.81) using the standard normal distribution table or a calculator.

Once we have the z-score, we can substitute it into the formula to find the corresponding value.

Answer:

The answer is C

Step-by-step explanation:

Final answer:

To find the measure of angle 2, which is complementary to angle 1 with a measure of 56°, subtract 56° from 90°, resulting in angle 2 measuring 34°.

Explanation:

If angles 1 and 2 are complementary, it means that the sum of their measures is 90 degrees. Since the measure of ∠1 is given as 56°, we can find the measure of ∠2 by subtracting the measure of ∠1 from 90 degrees:

Measure of ∠2 = 90° - Measure of ∠1

Measure of ∠2 = 90° - 56°

Measure of ∠2 = 34°

Therefore, the measure of ∠2 is 34 degrees.

The circumference of the circle is 10π cm, and the area is 25π cm².

The formulas for the circumference (C) and area (A) of a circle in terms of

the radius (r) are:

Circumference (C) = 2πr

Area (A) = πr²

Given that the radius (r) is 5 cm, we can substitute this value into the formulas:

Circumference (C) = 2π(5) = 10π cm

Area (A) = π(5)² = 25π cm²

So, the circumference of the circle is 10π cm, and the area is 25π cm².

Jane is correct because Jane correctly simplified the expression to [tex]\(3x\)[/tex].

Let's carefully simplify the expression [tex]\((2x^2 + x) + 2(-x^2 + x)\)[/tex] step-by-step to determine who is correct, Jane or Jill.

Starting with the given expression:

[tex]\[(2x^2 + x) + 2(-x^2 + x)\][/tex]

We first distribute the [tex]\(2\)[/tex] in [tex]\(2(-x^2 + x)\):[/tex]

[tex]\[(2x^2 + x) + (-2x^2 + 2x)\][/tex]

Next, we combine like terms. We combine the \(x^2\) terms and the \(x\) terms separately:

[tex]\[(2x^2 - 2x^2) + (x + 2x)\][/tex]

Simplify each group of like terms:

[tex]\[0x^2 + 3x\][/tex]

This simplifies to:

[tex]\[3x\][/tex]

Therefore, the correct simplification of the expression [tex]\((2x^2 + x) + 2(-x^2 + x)\) is \(3x\)[/tex].

Jane’s solution is:

[tex]\[\begin{aligned}& = (2x^2 + x) + 2(-x^2 + x) \\& = (2x^2 + x) + (-x^2 + x) + (-x^2 + x) \\& = (2x^2 - x^2 - x^2) + (x + x + x) \\& = 3x\end{aligned}\][/tex]

Jill’s solution is:

[tex]\[\begin{aligned}& = (2x^2 + x) + 2(-x^2 + x) \\& = (2x^2 + x) - 2x^2 + 2x \\& = 2x\end{aligned}\][/tex]

Jane correctly simplified the expression to [tex]\(3x\)[/tex], while Jill made an error by not correctly distributing the [tex]\(2\)[/tex] in the term [tex]\(2(-x^2 + x)\)[/tex].

The complete question is

Jane and jill were simplifying the expression (2x²+x) +2(-x²+x) and obtained different answers. Who is right and why?​

Jane                                                

[tex]$$\begin{aligned}& =\left(2 x^2+x\right)+2\left(-x^2+x\right) \\& =\left(2 x^2+x\right)+\left(-x^2+x\right)+\left(-x^2+x\right) \\& =\left(2 x^2-x^2-x^2\right)+(x+x+x) \\& =3 x\end{aligned}$$[/tex]

Jill

[tex]\begin{aligned}& =\left(2 x^2+x\right)+2\left(-x^2+x\right) \\& =\left(2 x^2+x\right)-2 x^2+x \\& =2 x\end{aligned}[/tex]

Answer:

Step-by-step explanation:

what you need to do is look at the question again it say 10 feet above sea level and the other one is 7 feet below sea level. now read your question again hope you find the answer good luck

Answer:D

Step-by-step explanation: -7 is greater than -10 -10 is lower

Answer:

22

Step-by-step explanation:

No coffin will be opened at the end of 500th man .

Given,

500 coffins and 500 hundred men

Here,

First man opens all the coffins, but the second man closes every second coffin, which means that the odd-numbered coffins are closed again.

Then, the third man goes to every third coffin and closes it, which means that the coffins that are multiples of 3 are closed again.

This pattern continues with each subsequent man, so by the time the 500th man goes to the coffins, all of them will be closed.

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Answer:

(Male White Rabbits Count: 14) (Male Black Rabbits Count: 18) (Female White Rabbits Count: 0) (Female Black Rabbits Count: 9)

Step-by-step explanation:

In order to get this answer you have 9 rabbits that are black and 0 white rabbits. Then there is 32 male rabbits and 14 of them are white so you subtract 14 from 32 and the rest is black rabbits which is 18. Now you have all of your answers.

Answer:

for b) the answer is 7/48

this wasn't included in the last answer so here it is.

Step-by-step explanation:

white female rabbit number/the overall total

Answer:

For the one on the left:

Center: (-15,-7)

Radius: 1.73

For the one on the right:

Center:(3,-11)

Radius: 6

Step-by-step explanation:

I used the desmos graph and it calculated when the circle was, And i counted where these items were

Answer:

618 birds.

Step-by-step explanation:

Let the estimated number of birds=x

Out of x birds, he tied a belt around the legs of 40 birds.

When he observed 520 birds, 34 of which had belts.

Expressing each as a ratio

[tex]\frac{x}{40}=\frac{520}{34}[/tex]

Cross Multiply

34x=520X40

x=520X40÷34=611.7≈618

There are an estimated 618 birds.

Answer:

The best estimate for the bird population is 613 birds

Step-by-step explanation:

Let x be the total of number of estimated bird

From x, 40 birds are with belt

he observed 520 birds, 34 of which had belts.

Then taking reciprocal of both statements

x/40 = 520/34

34x = 520*40 = 20800

x = 20800/34

x = 613The total of number of estimated birds is 613 birds

The total of number of estimated birds is 613 birds

Answer:

Input functions is called Domain Output functions is called Range

Step-by-step explanation:

Answer:

(B)[tex]\sqrt{2} ft[/tex]

Step-by-step explanation:

Given a Square of side 1 foot, the length of the diagonal is determined using the Pythagoras theorem.

The diagonal is the hypotenuse of the right triangle obtained.

From Pythagoras Theorem,

[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\=1^2+1^2\\=1+1\\Hypotenuse^2=2\\Therefore, Hypotenuse=\sqrt{2} ft[/tex]

The length of the diagonal is [tex]\sqrt{2} ft[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is Arithmetic sequence

a = first term= 4;

d= difference =second term - first term = 7 - 4 = 3

n= position

nth term = a + (n-1)*d

1st term = 4 + (1-1)*3 = 4 + 0 = 4

2nd term = 4 + (2-1)*3 = 4 + 1*3 = 4+3 = 7

5th term = 4 + (5-1)*3 = 4 + 4*3 = 4 + 12 = 16

6th term = 4 + (6-1)*3 = 4 + 5*3 = 4 + 15 = 19

or

To get the next term add the difference [3] to the previous term.

5th term = 13 +3 = 16

6th term = 16 + 3= 19

Answer:

A- 462.86

Step-by-step explanation:

Answer:

B. 74 degrees

Step-by-step explanation:

sorry im not good at writing math explantions I hope this drawing helps.

The measure of angle ABC is 74 degrees.

Given:

Find:

Solution:

As we know that BAD is forming a triangle that will have 180 degrees if all the angles of the triangles are summed together.

So, ABDA=180 degrees.

Now, ADB=180-(ABD+DAB)=180-(90+37)=180-127=53 degrees.

So, 90+37=127 degrees and 90+53=143 degrees.

Now, we will subtract them to get CBD,

CBD=143-127=37 degrees.

Therefore, ABC= CBD+ABD=37+37=74 degrees.

Hence, the measure of angle ABC is 74 degrees.

Therefore, option (B) is the correct answer.

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Answer:

88,88,888

Step-by-step explanation:

Answer:

D. 100.

Step-by-step explanation:

-m + 0.02 + 2.1m = -1.45 -4.81m

Multiply by 100:

-100m + 2 + 210m = -145 - 481m

​

Answer: 5 hours

Step-by-step explanation:

1)

[tex] \frac{475}{75} = \frac{19}{3} = 6 \frac{1}{3} \\ [/tex]

2)

[tex] \frac{100}{75} = \frac{4}{3} = 1\frac{1}{3} \\ [/tex]

3)

[tex]6 \frac{1}{3} - 1 \frac{1}{3} = 5[/tex]

Answer: 5 hours

Answer:

4^2 + 4x= 1

Step-by-step explanation:

4x^2 - 4x - 5= 8x +6

4x^2- 4x+8x =6-5

4x^2 + 4x =1

The value of the laptop in 2011 will be $29920

Step-by-step explanation:

Cost of the laptop = $34000

Rate of decrease in value per year = 4%

Total time = 3 years

The Value decrease in 2011 = (34000 x 4 x 3) /100

= $4080

The value of the laptop in 2011 = 34000-4080

= $29920

The value of the laptop in 2011 will be $29920

Answer:

90 degrees I think

Step-by-step explanation:

Answer:90°

Step-by-step explanation:

All right angles are 90° and all triangles = 180°

To check it add 45° and 90° then you have the other angle

Question- How can you determine the best measure of center and measure of variability to use based on the shape of the distribution?

Answer- Mean and median both try to measure the "central tendency" in a data set. Summarizing center of distributions (central tendency) .

The following is the way:

To determine the best measure of center and variability based on the shape of the distribution, you must first examine the shape of the data. If the distribution is symmetric and has no outliers, the mean is generally considered the best measure of center, and the standard deviation is a suitable measure of variability. However, for skewed distributions or those with outliers, the median is a more appropriate measure of center, as it is not as affected by extreme values. In such cases, the interquartile range (IQR) is often used to describe variability, since it focuses on the middle 50% of the data, reducing the influence of outliers.

Robust vs. Non-Robust Measures: Measures of center and variability can be robust or non-robust. Robust measures, like the median and IQR, are less affected by outliers and skewed data. Non-robust measures, like the mean and standard deviation, are greatly influenced by extreme values. Therefore, in the presence of outliers or a skewed distribution, robust measures are preferred.

Chebyshev's Rule is helpful in understanding the spread of data in relation to the mean. This rule states that a certain percentage of data must lie within a set number of standard deviations from the mean, regardless of the distribution's shape. In a bell-shaped distribution, which is symmetric and normal, the mean, median, and mode coincide at the peak of the curve, and measures like the mean and standard deviation reflect the data's center and spread effectively

Answer:

36 students

Step-by-step explanation:

right on edge

The total number of students bought their lunch from cafeteria is 36.

Given data:

The total number of girls is 35 and the total number of boys is 50.

Probability of boys bought their lunch from cafeteria = 0.44

Since total no. of boys =50

So, number of boys bought their lunch from cafeteria P ( B ) = 50*0.44

And, the value of P ( B ) = 22

Probability of girls bought their lunch from cafeteria = 0.4

Since total no. of girls =35

So, number of girls bought their lunch from cafeteria P ( G ) = 35*0.4

So, the value of P ( G ) = 14

The total number of students , n = P ( B ) + P ( G )

So, n = 22 + 14

n = 36

Hence , the number of students is 36

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The complete question is attached below:

35 total girls and 50 total boys were surveyed. How many students bought their lunch from the cafeteria? Round to the nearest whole number.