How do I solve this problem step by step?

How Do I Solve This Problem Step By Step?

Answers

Answer 1

Answer:

  392.5 in²

Step-by-step explanation:

The area of a composite figure is found by decomposing it into areas that you have formulas for. This figure is easily decomposed to a trapezoid and a rectangle.

Trapezoid

The base lengths of the trapezoid are 20 in and 9 in. Its height is the difference between the height of its top base (21 in) and the height of its bottom base (16 in). That difference is 5 in.

  A = 1/2(b1 +b2)h

  A = 1/2(20 in + 9 in)(5 in) = 72 1/2 in²

__

Rectangle

The area of a rectangle is the product of its base and height.

  A = bh

  A = (20 in)(16 in) = 320 in²

__

Total area

The area of the whole figure is the sum of the areas of its parts.

  area = trapezoid area + rectangle area

  area = 72 1/2 in² +320 in² = 392 1/2 in²


Related Questions

the restaurant is 7.5 feet high and 22 feet long. find the volume of a cone restaurant

Answers

Answer:

950.331ft^3

Step-by-step explanation:

I hope this is correct...

I believe 22ft would be the diameter of thr circle so to find the radius you divide it by 2 and follow the formula like so.

Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?

Answers

Answer:

It should be $538 left after the bills

Jake is saving for a new tablet. It costs $250, and he has $100. He earns $5 per week for doing chores. Jake wants to figure out how many weeks it will take for him to have at least enough money to buy a new tablet. Write an inequality and solve it to determine the number of weeks it will take.

Answers

Answer: 250 ≤ 100+5x

150≤5x divide by 5

30≤x

It will take 30 weeks to earn enough.

Step-by-step explanation:

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?.

Answers

As x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

Given function is:

[tex]f(x) = \frac{2x}{1-x^{2} }[/tex]

What is a function?

A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.

Divide the numerator and denominator of the given function by x.

[tex]f(x) = \frac{2}{\frac{1}{x} -x}[/tex]

[tex]\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}[/tex]

As we know that as x approaches the infinity 1/x approaches 0.

So, [tex]\\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} = \lim_{x \to \infty} \frac{2}{-x}[/tex]

[tex]\lim_{x \to \infty} \frac{-2}{x} =0[/tex]

Therefore, as x tends to infinity the function [tex]f(x) = \frac{2x}{1-x^{2} }[/tex] approaches zero.

To get more about functions visit:

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Tanner made his father a quilt. The width is 6 5 /7 meters by 7 3/ 5 meters what is the area of the quilt?

Answers

Answer:

51.0285714…

Step-by-step explanation:

you just multiply them together.

Answer:

Step-by-step explanation:

→ Multiply the 2 lengths together

[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]

→ Convert both to improper

[tex]\frac{47}{7} *\frac{38}{5}[/tex]

→ Multiply

[tex]\frac{1786}{35}[/tex]

→ Convert to mixed fraction

[tex]51\frac{1}{35}[/tex]

An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
A=
B=

Answers

One angle would be 57 degrees, one would be 103

Please show the steps as well.​

Answers

Answer:

x = 4

Step-by-step explanation:

Rewrite the equation as

[tex]2^{x -1}=8\\[/tex][tex]2^{x -1}=2^3[/tex]

Powers are equal if bases are same

[tex]x -1=3[/tex][tex]x=3+1[/tex][tex]x=4[/tex]

~Hello! I will try to help you!

[tex] \Rightarrow \sf {2}^{x - 1} = 8[/tex]

»Convert the number 8 to a power of 2, then:-

[tex] \Rightarrow \sf {2}^{x - 1} = {2}^{3} [/tex]

»Because the bases on the right and left are the same, we will cross out the bases to produce a linear equation.

[tex] \Rightarrow \sf \cancel2 {}^{x - 1} = { \cancel2}^{3} [/tex]

»Let's find the value of x in the above equation!

[tex] \Rightarrow \sf x - 1 = 3 \\ \Rightarrow \sf x = 3 + 1 \\ \Rightarrow \bf x = 4[/tex]

With this it's done!

is this correct if not whats the answer

Answers

Answer:

That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^

A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?

Answers

The total surface area of the triangular prism that has a height of h and the side length of a is given below.

[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

What is a triangular prism?

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]

The area of the rectangle will be

[tex]\rm Area \ of \ rectangle = a \ h[/tex]

Then the total surface area will be

[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]

More about the triangular prism link is given below.

https://brainly.com/question/21308574

Answer:

72 square inches

Step-by-step explanation:

which is the largest living thing?

Answers

in scientific depth most scientists would argue the universe but visually planets as we cannot see all of the universe

Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.

Answers

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

What is apothem?

Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .

The length of apothem (a) is given by:

[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]

The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit

Find out more on apothem at: https://brainly.com/question/369332

Solve this linear system using determinants:
2x + 3y = 6
- 8x - 3y = 12
A=
Az =
[Ayl =

Answers

2×+3y=6

-8×-3y=12

-6×=18

×=18/-6

×=-3

——————

2×+3y=6

2(3)+3y=6

6+3y=6

3y=6-6

3y=0

Y=0/3

Y=0

——————

×=3

Y=0

————

2×+3y=6

2(3)+3(0)=6

6=6

xLasersx✨

Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a square around its vertical axis will form a sphere. C. Rotating a right triangle around its vertical axis will form a cone. D. Rotating a rectangle around its vertical axis will form a sphere.

Answers

Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

How to determine the rotation?

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

Read more about rotation at:

https://brainly.com/question/4289712

Answer: C. Rotating a right triangle around its vertical axis will form a cone.

Step-by-step explanation: CORRECT on Plato/Edmentum.

Find a general formula for the nth term of the geometric series with

Answers

Answer:I think it would be the third one

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

write these polynomials in standard form
1). 5x^2- 15+7
2.) 4 + 8n- 3n^4+ 10n2

Answers

Answer:

1. [tex]5x^{2} - 8[/tex]

2. [tex]NaN-16[/tex]

Step-by-step explanation:

What is the answer to how many 1/2 are in 3 1/2?

Answers

Answer: There is a total of 7 halves

Find the value of x.

Answers

Answer:

38

Step-by-step explanation: subtraction:

Input interpretation: x: 105-67=

Ratio in lowest terms: 38

Division:

105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

By the above theorem, the equation is written as,

x + 67 = 107

Simplify the equation, then we have

x + 67 = 105

x = 105 - 67

x = 38°

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ7

what is the area of a triangle with a base with a length of 3 1/2 inches and a height of 3 inches

Answers

Answer: 5.25 square inches

Step-by-step explanation:

A=(1/2)bh=(1/2)(3.5)(3)=5.25

If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour

Answers

Answer:

1/8

Step-by-step explanation:

i believe this is the answer

Need Help! Given the drawing, what would the value of x need to be in order for it to be true that m || n ? ​

Answers

Answer:

13

Step-by-step explanation:

The theorem is that for a line bisecting two parallel lines, the oposite angles are equal. Hence, you can formulate the equation 4x+18 = 7x-21, which solves to 13.

A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?

Answers

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.

How to determine the circumference of the base of a silo

The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:

Volume

V = (π/3) · R² · h     (1)

Circumference

s = 2π · R     (2)

Where:

R - Radius of the base, in feeth - Height of the silo, in feet

If we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:

[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]    

[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]

R ≈ 4.583 ft

s = 2π · (4.583 ft)

s ≈ 28.796 ft

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]

Remark

The statement is complete, complete form is introduced below:

A farmer plans to buid the small silo  to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?

Answers

Answer:

[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]

Step-by-step explanation:

First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].

Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].

Finally, we have all of our necessary information to set up all of our partial fractions.

This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.

how do i get my math grade up ​

Answers

Answer:

just practice alot . .. ...........

Answer:

you could do all your work and try to ask the teacher for help

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?

Answers

Answer: $804

Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.

please help !
what is the probability of the complement of event A ?

Answers

Answer:

[tex]P(A < 84)=\frac{4}{7}[/tex]

Step-by-step explanation:

[tex]Total\ numbers:\ 7\\Numbers\ less\ than\ 84:\ 4\\\\P(A < 84)=\frac{4}{7}[/tex]

Please Help! will Give Brainlest!

Answers

Answer:

tan ¤ = opp/adj

tan ¤ = 20/50

since opposite of the angle is 20, height of the tree is 20 feet.

Ans : D

Answer:

height : 20distance : 50

Explanation:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]

using the equation, we can identify that ↓opposite ( the height of the tree ) is 20adjacent ( the distance ) is 50


To get your car repaired at a certain dealership in Woodstock, the rate charged is $90 per hour worked on your car, plus a $50 diagnostic fee.

1) Create an equation to find the (C)harge to fix the car:

2) If your car was worked on for 4.6 hours what would be the total charge?

3) If the total cost was $800, how many hours was the car in the shop?

Answers

C- charge
H- hours
D- diagnostic fee

C= #H(90)+ D

C= 4.6(90)+50
=414+50
=$464

C-$800
H-?
D-50

C= #H(90)+50

800=H(90)+50

H(90)=800-50

H(90)=750

H(90)/90=750/90

H=750/90

H= 8.33333333

Can someone help me pls

Answers

Answer:

The angle of KLM is 50°

Step-by-step explanation:

Used protractor

Answer:

∠ KLM ≈ 33.7°

Step-by-step explanation:

using Pythagoras' identity in right triangle JKM

KM²  = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )

KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm

using the sine ratio in right triangle KLM

sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then

∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )

Bronson earns $625 per week at his job. How much does he earn annually?
please help

Answers

The answer should be 89.2$

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.

Table B: Frequency of Foreign-Language Studies by Row

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language

Answers

Answer:

B: Frequency of Foreign-Language Studies by Row

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