Mathematics High School

Find the surface area of the composite solid. Round your answer to the nearest hundredth.
A. 424.11 ft²
B. 438.00 ft²
C. 449.00 ft²
D. 549.78 ft²

Answers

Answer 1

The surface area of the composite solid is 579.84 square feet

How to determine the surface area of the solid?

The composite solid that completes the question is added as an attachment

From the attached figure, we have the following figures:

Rectangular prismCylinder

The surface area of a rectangular prism is

A = 2(lw + lh + wh)

Using the dimensions of the prism, we have:

A = 2(6 * 11 + 6 * 8 + 8 * 11)

This gives

A = 404

The surface area of a cylinder is

A = 2πr^2 + 2πrh

Using the dimensions of the cylinder, we have:

A = 2 * 3.14 * 4^2 + 2 * 3.14 * 4 * 5

Evaluate

A = 226.08

The area of the circle between both shapes is

A = πr^2

This gives

A = 3.14 * 4^2

A = 50.24

The surface area of the composite solid is then calculated as:

Surface area = Area of rectangular prism + Area of cylinder - Area of circle

This gives

Surface area = 404 + 226.08 - 50.24

Evaluate

Surface area = 579.84

Hence, the surface area of the composite solid is 579.84 square feet

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Find The Surface Area Of The Composite Solid. Round Your Answer To The Nearest Hundredth.A. 424.11 FtB.

Related Questions

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The answer to this question is 0.5

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Answer:

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Which pair of fractions is not equivalent fractions?
A.1/9,2/18
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A dress with a regular price of $60 is on sale for 20% off the regular price. Lisa has a coupon for an additional 10% off the sale price. What is the price of the dress after the discount for the coupon?

Answers

Answer:

It is $42

if I am wrong then let me know so I can recheck my work

Answer:

$42

Step-by-step explanation:

20+10=30%

60*0.3=18

60-18=42

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Answer:

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Step-by-step explanation:

To get the slope of the line, we are going to use the 2-points slope equation form

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m = (y2-y1)/(x2-x1)

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The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;

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Answer:

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Step-by-step explanation:

If you plot both of the points on a graph you get another straight line.

When you connect the dots you get 3,1 as the midpoint of the two segments :))

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Answers

Answer:x  31.5 mm

Step-by-step explanation:I hope this helps

The actual length of the room on the blueprint  31.5mm.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question

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Therefore,

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help please
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Answers

Answer:

-20+(-13)-7-(+11)+14= -37

Step-by-step explanation:

we make first : +(-13)= -13 then -(+11)=-11

then we calculate all the nb we have

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GIVING 10 POINTS
PLEASE HELP!
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Answers

Answer:

When two equations are equivalent it means that the two equations are equal to each other. Hope this helps, thank you !!

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Answers

x + x is 2x. x times x is x squared or x^2 (x to the power of 2.)

Answer:

Wym?

---‐---------------–---------—,-------

I'll answer it on the comment or are u just playing?

Shahida is 21 years old and Nasreen is 15 years old to Shahida after how many years will Shahida be twice as old as nasreen​

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Answer:

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Step-by-step explanation:

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please help!!

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Answers

Answer:

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Step-by-step explanation:

2 24/60 = 2 2/5

there are 60 minutes in an hour so you can just put 24 over 60 and the two outside to write it as a mixed number fraction then reduce. If you want to write it as a improper fraction you can multiple 2 times 5= 10 then add 2 to get 12/5

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Answer:

7 is 8,and 8 is 23p+9

Answer:

7= 8

8=

Step-by-step explanation:

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Answers

10) X + 1
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I don’t know how u want the answer

Select the correct answer.
A ball is thrown up from a height of 400 feet, and the height (in feet) of the ball at any time t, in seconds, is given by the function shown below.

[tex]h(t)=-16t^{2}+400[/tex]

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t = 0
B.
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D.
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Answers

Answer:

A

Step-by-step explanation:

Because i took the the test

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Answers

Answer:

157.2

Step-by-step explanation:

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Step-by-step explanation: Use law of cosines

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

What is the solution of the equation?
(its in the attachment)

Thank u lovely

Answers

Step-by-step explanation:

This is a edit. The answer is 30. Brainly won't save my work.

[tex]3 \sqrt[5]{ {(x + 2)}^{3} } + 3 =27 \\3 \sqrt[5]{ {(x + 2)}^{3} } =24 \\ \sqrt[5]{ {(x + 2)}^{3} } = 8 \\ {(x + 2)}^{3} = {8}^{5} \\( x + 2) = \sqrt[3]{ {8}^{5} } \\ ( x + 2) = 32 \\ x = 30[/tex]

if the diagonal of the square is 8 feet what is the area of the square

Answers

Answer:

32

Step-by-step explanation:

You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.

a²+b²=c²

If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:

a²+b²=8²

a²+b²=64

Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.

a²+a²=64

simplify: 2a²=64

divide both sides by 2: a²= 32

square root both sides: a = [tex]\sqrt{32}[/tex]

then you know the length of each side is [tex]\sqrt{32}[/tex]

to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:

[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.

I agree with the person above 23

3/1 + 1/3

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Answers

Answer:

10/3, or 3 1/3.

Step-by-step explanation:

3/1 + 1/3

3 + 1/3

9+1/3

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Answers

Answer:

16027.52

Step-by-step explanation:

[tex]Which point is closer to the line y=1/2x+4, A(-2,6) or B (4,3)?[/tex]

Answers

9514 1404 393

Answer:

  neither; they are the same distance from the line

Step-by-step explanation:

The distance of point (x, y) from line ax+by+c=0 is given by ...

  d = |ax +by +c|/(√a² +b²)

Since we're using the same line for both points, we only need to evaluate ...

  d = |ax +by +c|

Subtracting y can put the equation in the desired form:

  1/2x -y +4 = 0

__

For point A, the expression of interest evaluates to ...

  |(1/2)(-2) -(6) +4| = |-1-6+4| = 3

For point B, the expression of interest evaluates to ...

  |(1/2)(4) -(3) +4| = |2-3+4| = 3

These values tell us the points are the same distance from the line.

_____

The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.

can someone solve this

Answers

the answer is 5r^2 -1
hope this helps !

Find the area of a circle with a radius of 33 millimeters use 3.14 for pi also please explain steps if you can it really helps me​

Answers

Answer:

3421.19

Step-by-step explanation:

A=πr2=π·332≈3421.1944

Answer:

3419.46

Step-by-step explanation:

To find the area of a circle you need to:

pi(3.14) x Radius²

= 3.14 x 33²

= 3419.46

I hope it is right since I literally started this topic.

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