find the area of the shape shown below.

Find The Area Of The Shape Shown Below.

Answers

Answer 1

Answer:

Ok so lets start with finding the equations or the steps:

so for a trapazoid  the formula is  A= A+B/2  SO the area is 6

Step-by-step explanation: For more info on how i did this just contact me or reply to this also inform it if its wrong Thanks! have a good day

Answer 2

Answer:

10

Step-by-step explanation:

The area of a triangle is given by the formula  [tex]\frac{(base)(height)}{2}[/tex].

The first triangle has 4 units in base and 2 in height, in the formula is

[tex]\frac{(4)(2)}{2}[/tex] = 4

The second triangle has 2 units in base and 2 in height, in the formula is

[tex]\frac{(2)(2)}{2}[/tex] = 2

The area of a square is given by the formula base x height = 2 x 2 = 4.

The sum of the areas is 10.


Related Questions

Using only addition, how do you add eight 8’s and get the number 1000?

Answers

Answer:   888+88+8+8+8 = 1,000

Step-by-step explanation: First of all line all your eights' up and then split them

Final answer:

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200.

Explanation:

To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200. Here's how:

Add three 8's to get 24.Then, add four 8's to get 32.

Now, you have 24 and 32, which add up to 56. Finally, add 800 and 200, which equals 1000.

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Huma hubna and seema recieved a total of rs 2016 as monthly allowance from their mother such that seema gets 1/2 og what huma gets and hubna gets 1 2/3 times seemas share how much do the three sisters get individually

Answers

Answer:

huma's share= Rs.864

Seema's share= Rs.432

Hubna's share= Rs.720

Step-by-step explanation:

Considering 'x' as the share of huma

Therefore , Seema's share will be x/2

And Hubna's share will be 5/3 * x/2 => 5x/6

Total money given in the problem is Rs.2016

In order to find the share of individual, we first have to determine 'x' variable by taking the sum of all shares.

x+x/2+5x/6=Rs.2016

(6x+3x+5x)/6=2016

14x/6=2016

x=2016 * 6/14

x=864.

Therefore,huma's share 'x' will be Rs.864

Seema's share will be = x/2 = Rs.432

And Hubna's share will be = 5x/6= Rs.720

A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?

Answers

Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.

A quadratic function is defined in the form:

y= f (x) = ax² + bx + c

Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.

That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.

The maximum or minimum is reached in [tex]xv=\frac{-b}{2a}[/tex]  

The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).

In this case, the function is:

h(t)= -16t² + 400t

where t is the time in seconds

Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.

You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: [tex]t=\frac{-b}{2a}[/tex]

So: [tex]t=\frac{-400}{2x(-16)}[/tex]

Solving:

[tex]t=\frac{-400}{-32}[/tex]

t= 12.5 seconds

It takes 12.5 seconds for the projectile to reach maximum height.

Learn more about cuadratic function with this examples:

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Brianna has 6 bags of soil. Filling one flowerpot requires
1
3
of a bag of soil. How many flowerpots can be filled with these 6 bags?

Answers

Answer:

18

Step-by-step explanation:

6*3=18

Answer: 18

Step-by-step explanation: It's easy, you have to divide in order to get 18.

A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At α= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed.

Burger Stop: mean = $8.88, standard deviation = $0.82, sample size = 17

Fry World: mean = $8.25, standard deviation = $0.72, sample size = 8
Identify the claim and state H0 and Ha. Which is the correct claim below?
A. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."

B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."

C. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."

D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."

Answers

Answer: Option "B" is correct.

Step-by-step explanation:

Since we have given that

α= 0.10

Let the population variances are equal and samples are random and independent.

Let [tex]\bar{x}[/tex] be the mean amount spent by a customer at Burger Stop.

Let [tex]\mu[/tex] be the mean amount spent by customer at Fry World.

So, it has given that

the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.

So, Hypothesis would be :

[tex]H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu[/tex]

Hence, Option "B" is correct.

Is 3√124 the same as 6√31?

Answers

Answer:

Yes

Step-by-step explanation:

[tex]3\sqrt{124} = 3\sqrt{4} \sqrt{31} \\\sqrt{4} = 2\\ 3*2\sqrt{31}=6\sqrt{31}[/tex]

what the volume is of this solid

Answers

Answer:

336.

Step-by-step explanation:

8 x 7 x 6 = 336.

Feel free to let me know if you need more help! :)

Chris placed an order for 30 chairs with the furniture store. He ordered metal chairs at $25 each and plastic chairs at $10 each. His order totaled $450. How many of each chair did he order?

Answers

Answer:

10 metal and 20 plastic

Step-by-step explanation:

10 x 25 is 250, 20 x 10 is 200 and 250 + 200 is 450

Place each of the key aspects under the function it describes.
range: 1 y 2 0}
h(x) = (x - 1)2
g(x) = -(x + 1)(x - 1)
decreasing over (-0, 1)
increasing over (-0,0)
range: [yl y s 1)
increasing over (1.c)
decreasing over (0,)

Answers

The functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

h(x) = (x - 1)²

The range of the function:

y ≥ 0

The function increases over the interval (1, ∞)

The function decreases over the interval (-∞, 1)

g(x) = -(x + 1)(x -1)

The range of the function:

y ≤ 1

The function increases over the interval (-∞, 0)

The function decreases over the interval (0, ∞)

Thus, the functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.

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Charlie has 7 cards, numbered 2, 3, 4, 5, 6, 7, 8, 9. What is the probability of picking an odd card? Give your answer as a fraction, a decimal, and a percent. Round to the nearest hundredth.

Answers

There are 4 out of the 7 cards that are odd numbers.

As a fraction: 4/7

As a percent: 57.14%

As a decimal: 0.57

What is the answer to this? I need help :(.

Answers

Answer:

Not proportional

Step-by-step explanation:

Hope it helps you in your learning process.

[tex] \frac{6}{6}=1\\\\

\frac{8}{24}= \frac{1}{3}\\\\

\frac{10}{50}= \frac{1}{5}\\\\

\frac{12}{84}= \frac{1}{7}\\\\

\therefore \frac{6}{6}\neq \frac{8}{24}\neq \frac{10}{50}\neq \frac{12}{84}[/tex]

Hence, given ratios are not proportional.

find an angle in the normal range (0 degrees to 360 degrees, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -11pi/3.

Answers

Answer:

a) pi/3

Step-by-step explanation:

-11pi/3 + 4pi

(-11+12)pi/3

pi/3

Answer:

A

Step-by-step explanation:

We see that the angle is -11[tex]\pi[/tex]/3, which means that when drawing this angle on the graph, we need to move clockwise from 0 (see the drawing).

We see that this angle is actually the exact same as an angle in the first quadrant. This angle is [tex]\pi[/tex]/3.

Thus, the answer is A.

Hope this helps!

Marta and Kim are sisters. Five years ago Kim's age was twice as great as martas age. If Marta is no m years old, what expression represents Kim's age now?

Answers

Answer:

y = 2m-5

Kim's age now is y = 2m-5

Step-by-step explanation:

Let m represent martas age now and y represent Kim's age now

Given;

Five years ago Kim's age was twice as great as martas age.

(y-5) = 2(m-5)

Solving for y;

y-5 = 2m-10

y = 2m-10+5

y = 2m-5

Kim's age now is y = 2m-5

Final answer:

Kim's current age is represented by the expression 2m - 5, where m is Marta's current age. This is determined by considering the age difference and relationship of their ages five years ago.

Explanation:

The question is about determining Kim's current age given that Marta is currently m years old and five years ago Kim's age was twice that of Marta's. To solve this, we can follow these steps:

Let's represent Marta's age five years ago as m - 5.

Since Kim's age was twice Marta's age five years ago, we express Kim's age at that time as 2(m - 5).

To find Kim's current age, we add five years to her age at that time: 2(m - 5) + 5.

Simplifying the expression gives us Kim's current age as 2m - 5.

Therefore, the expression that represents Kim's age now, given that Marta is m years old, is 2m - 5.


The fraction
17
100
can be written as which decimal?

Answers

Answer:

.17

Step-by-step explanation:divide 17 by 100 hope this helps god bless

Answer:

0.17

Step-by-step explanation:

Use the formula to find the lateral area and surface area of prism

Answers

Answer:

The answer to your question is 2046 in²

Step-by-step explanation:

Data

length = 30 in

base = 24 in

hypotenuse = 25 in

Process

1.- Calculate the height of the triangle using the Pythagorean theorem

          c² = a² + b²

-Solve for b

          b² = c² - a²

-Substitution

           b² = 25² - 24²

-Simplification

           b² = 625 - 576

-Result

            b² = 49

            b = 7 in

2.- Calculate the area of the base

Area = base x height

Area = 24 x 7 x 2

        = 336 in²

3.- Calculate the lateral area

Area = 30 x 25 x2

        = 1500 in²

4.- Calculate the last area

Area = 30 x 7

        = 210

5.- Final area

Total area = 210 + 1500 + 336

                 = 2046 in²

         

Which one is bigger 4.5 kg or 4.050

Answers

Answer:

4.5 kg

Step-by-step explanation: if you have 4.050 take off the zero and it is only 4.05 which is less then 4.5 or 4.50

Final answer:

When comparing 4.5 kg to 4.050 kg, 4.5 kg is the larger weight since both are in kilograms and 4.5 is greater than 4.050.

Explanation:

The question asks which number is larger, 4.5 kg or 4.050 kg. In the metric system, weights are compared directly as they are expressed in the same units. Here, we compare 4.5 to 4.050. Since 4.5 can also be thought of as 4.500 when considering the decimal places, it becomes clear that 4.5 kg is the larger value because both represent kilograms, and 4.5 is greater than 4.050.

I need help asap )/)/)/)

Answers

Answer:

$49.20

Step-by-step explanation:

50 POINTS PLEASE HELP
what type of number is 4√20
a/ a rational number
b. an irrational number
c. an Inger
d. none of these

Answers

Answer:

B

Step-by-step explanation:

A rational number is one that can be written in the form p/q, where p and q are whole numbers. However, [tex]4\sqrt{20} =8\sqrt{5}[/tex] cannot be simplified further. It is impossible to write it in the form of p/q, so it's not A.

An irrational number is just the opposite of a rational one: it can't be written in the form p/q. Since [tex]4\sqrt{20} =8\sqrt{5}[/tex] isn't rational, it's irrational, so B is correct.

An integer is a number without any decimal values. [tex]4\sqrt{20} =8\sqrt{5}[/tex] is approximately 17.889. Clearly, this is a decimal, so it's not C.

D is wrong because we know [tex]4\sqrt{20} =8\sqrt{5}[/tex] is irrational.

Hope this helps!

Answer:

B. An irrational number

Step-by-step explanation:

4√20 can not be written in the fraction form, hence not rational

√20 is not an integer, hence 4√20 is also not at integer

(3x+5) is a factor of the polynomial (a-1)x^3 + (a+1)x^2 - (2a + 1)x - 15. Find the value of 'a'. For this value of 'a', factorize the given expression completely.

Answers

Answer:

(3x + 5)(x + √3)(x - √3)

Answer:

a = 4

Step-by-step explanation:

(3x+5) is a factor of the polynomial (a-1)x³ + (a+1)x² - (2a + 1)x - 15

Means x = -5/3 is a root

(a-1)(-5/3)³ + (a+1)(-5/3)² - (2a + 1)(-5/3) - 15 = 0

-125a/27 + 125/27 + 25a/9 + 25/9 + 10a/3 + 5/3 - 15 = 0

a(-125/27 + 25/9 + 10/3) = 15 - 5/3 - 25/9 - 125/27

a(40/27) = 160/27

a = 4

Which animal shelter has the dog that weighs the least?
A)- shelter A
B)- shelter B
C)- Both shelters have a dog with the lowest weight of 8 pounds.
D)- Both shelters have a dog with the lowest weight of 10 pounds.
WILL GIVE BRAINLIEST ANSWER IF YOU ANSWER RIGHT!!!

Answers

Answer:

A_A_A_A_A_A_A_A_A_A_A_A_A_A_

Step-by-step explanation:

on the box chart it shows that shelter A has the lightest dog

hope i helped :D

Answer:

shelter A. shelter B. Both shelters have a dog with the lowest weight of 8 pounds.

Step-by-step explanation:

Hope this helps :)

If the probability that it will rain tomorrow is 15, what is the probability that it will not rain tomorrow?

A .45
B .35
C .25
D .210

Answers

B because probability is out of 50

A triangle has sides of 15 and 27. The measurement of the longest side is missing.
Ted says that one possibility for the unknown side length is 40. Do you agree with Ted? Why or why not?

Answers

Answer:

Step-by-step explanation:No if you use soh cah toa

Can repeating decimals be written as a fraction?

Answers

Answer:

yea i think yea yes yes yes yes

Final answer:

Yes, repeating decimals can be expressed as fractions using a simple algebraic equation.

Explanation:

Yes, repeating decimals can be expressed as fractions. To represent a repeating decimal as a fraction, you can use a simple algebraic equation. Let's take an example:

Consider the repeating decimal 0.3333... Now, let x be the number we want to express as a fraction. We can multiply both sides of the equation by 10 in order to move the decimal point to the right and eliminate the repeating part:

x = 0.3333...

10x = 3.3333...

Now, we subtract the two equations to eliminate the repeating part:

10x - x = 3.3333... - 0.3333...

Combining like terms:

9x = 3

Finally, dividing by 9 gives us the fraction representation of the repeating decimal:

x = 3/9 = 1/3

1. What is the measure of angle A'B'C?

a. 20°
b. 40°
C. 60°
d. 80°

Answers

Answer:

B

Step-by-step explanation:

Compare triangle ABC with triangle A'B'C. Let's try to prove that they're similar.

BC = 6 + 3 = 9 units

B'C = 6 units

BC/B'C' = 9/6 = 3/2 = 1.5

AC = 2 + 4 = 6 units

A'C = 4 units

AC/A'C = 6/4 = 3/2 = 1.5

These two pairs of corresponding sides have the same ratio, so that's promising.

Also notice that angle BCA = angle B'CA'. So, by SAS Similarity Theorem, we know that triangles ABC and A'B'C are similar.

By definition, similar triangles have the same corresponding angles.

Angle ABC corresponds to angle A'B'C, so they're equal. Since angle ABC = 40 degrees, then angle A'B'C = 40 degrees, as well.

Hope this helps!

Final answer:

Without proper context or a diagram, it's impossible to definitively state the measure of angle A'B'C. However, as an example, if angle A'B'C is in an equilateral triangle, it would be 60 degrees.

Explanation:

The question appears to be asking about the measure of an angle, designated as A'B'C. However, without proper context or a diagram to reference, it's impossible to definitively state what the measure of angle A'B'C is. It can be any value depending on the context. But, if A'B'C is a part of a triangle or a particular geometric shape with known properties, we can solve it based on the information given related to that specific shape.

For example, in an equilateral triangle, each angle measures 60°. So, if A'B'C is an angle in an equilateral triangle, it would most likely be 60°. Yet, without sufficient context, this is simply a hypothetical situation.

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3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a mean of 10.4 pounds and a standard deviation of 3 pounds. What is the largest annual per capita consumption of bananas that can be in the bottom 5 % of consumption

Answers

Answer:

The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

Step-by-step explanation:

Given

μ = Mean = 10.4 lb

σ = Standard deviation = 3 lb

Using a confidence level of 90%,

We'll need to first determine the z value that correspond with bottom 5% of consumption of banana

α = 5%

α = 0.05

So,

zα = z(0.05)

z(0.05) = -1.645 ----- From z table

Let x represent the largest annual per capita consumption of bananas

The relationship between x and z is

x = μ + zσ

By substitution;

x = 10.4 + (-1.645) * 3

x = 10.4 - 4.935

x = 5.465

Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb

You pick a card at random .without putting the first card back you pick a second card at random what is the probability of picking a 4 and then picking 4

Answers

Answer:

For on it depends on how many cards you have and how many 4's there are

Step-by-step explanation:

So say you had 16 cards and 3 of them were 4 the probability of you picking a 4 is 3 of 16.

Final answer:

The probability of drawing a 4 and then another 4 in sequence without replacement from a 52-card deck is 1/221, calculated by multiplying the probabilities of drawing a four on the first and second draws, 1/13 and 1/17, respective

Explanation:

The question involves calculating the probability of drawing two specific cards in sequence without replacement from a standard deck of 52 cards. The condition provided is drawing a 4 first and then drawing another 4 without putting the first card back. To solve this, consider the probability of each event happening.

For the first draw, there are 4 fours in a deck of 52 cards, so the probability of drawing a four (P(A)) is 4/52 or 1/13.

After drawing one four and not returning it, there are now 51 cards left and only 3 fours left. Therefore, the probability of drawing a four as the second card (P(B) given A) is 3/51 or 1/17.

To find the total probability of both events happening in sequence, multiply the probabilities of the individual events: 1/13 * 1/17.

Thus, the probability of drawing a 4 and then another 4 in sequence without replacement is 1/221.

The equation:
2x + 4 = -8 + 5x
-3x
Step 1 and 2:
Add or Subtract
(use the inverse
operation)
Step 3:
Multiply or
Divide
(use the inverse
operation)
Final Answer:

Answers

[tex]2x + 4 = - 8 + 5x \\ 12 = 3x \\ x = 4[/tex]

The number of pupils in school A is equal to half the number of pupils in school B. The ratio of the boys in school A and the boys in school B is 1:3 and the ratio of the girls in school A and the girls in school B is 3:5. The number of boys in school B is 200 higher than the number of boys in school A. Find the number of boys and girls in each school.

Answers

Answer:

There are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Step-by-step explanation:

The ratio of the boys in school A and the boys in school B is 1:3

Let the ratio be x

No. of boys in School A = x

No. of boys in School B = 3x

We are given that The number of boys in school B is 200 higher than the number of boys in school A.

So,[tex]x+200=3x[/tex]

[tex]200=3x-x[/tex]

[tex]200=2x[/tex]

[tex]\frac{200}{2}=x[/tex]

100=x

So, No. of boys in School A = x = 100

No. of boys in School B = 3x =3(100)=300

We are given that the ratio of the girls in school A and the girls in school B is 3:5.

Let the ratio be y

So, No. of girls in School A = 3y

No. of girls in School B = 5y

So, Total No. of students in School A= No. of boys in school A + No. of girls in school A=100+3y

Total No. of students in School B= No. of boys in school B + No. of girls in school B=300+5y

We are given that The number of pupils in school A is equal to half the number of pupils in school B.

So, [tex]100+3y=\frac{1}{2}(300+5y)[/tex]

[tex]200+6y=300+5y[/tex]

[tex]y=100[/tex]

No. of girls in School A = 3y=3(100)=300

No. of girls in School B = 5y=5(100)=500

Hence there are 100 boys and 300 girls in School A and there are 300 boys and 500 girls in School B .

Answer: 100 boys, 300 girls in School A. 300 boys,500 girls in School B

Step-by-step explanation:

What is the surface area of the triangular pyramid shown? Round to the nearest tenth.
5.2
[Not drawn to scale]
A. 57.6
B. 69.6
C. 73.2
D. 87.6​

Answers

Answer:

A. 57.6

Step-by-step explanation:

6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.

Answer:

Aa 57.6

Step-by-step explanation:

It is correct

correct on E D G E N U I T Y

Use properties of rational number to simplify the expression.
A.)129/7
B.)262/15
C.)122/7
D.)507/28

Answers

Answer:

A.)129/7

Step-by-step explanation:

25/4 + 24/7 + 35/4

I will add the two with common denominator together first

25/4 + 35/4     +24/7

60/4   +24/7

15  + 24/7

We need to get a common denominator of 7

15 *7/7  + 24/7

105/7  + 24/7

129/7

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