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

Read more about surface areas at:

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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

HELP WITH THIS QUESTION!!!

Answers

Answer:

- 1/x^18 y^3

Step-by-step explanation:

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

Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10

Answers

B because all of the other ones are correct-

only 10-11 please, giving brainliest!

Answers

10) X + 1
Y +8
1/1

11) X + 2
Y + 2
1
I don’t know how u want the answer

3/1 + 1/3

What is the answer to this?

Answers

Answer:

10/3, or 3 1/3.

Step-by-step explanation:

3/1 + 1/3

3 + 1/3

9+1/3

10/3, or 3 1/3.

can someone solve this

Answers

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

Having some struggles with this:

Answers

The answer is the last one

Answer:

the 3rd one hope this helps

Step-by-step explanation:

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

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​

Answers

Answer:

27 years

Step-by-step explanation:

21 × 2 = 42

42 - 15 = 27

please help!!

List the temperatures shown on the table in order
from least to greatest:
Temperature (°F)
Thursday
-8
Friday
7
Saturday
18
Sunday
-11

Answers

sunday: -11

thursday: -8

friday: 7

saturday: 18

GIVING 10 POINTS
PLEASE HELP!
What does it mean when two expressions are equivalent?

Answers

Answer:

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

There are 21 animals living in the barn. Some are chickens and some are horses. There are 46 legs in all. How many chickens and how many horses are in the barn?

Answers

Answer:

7 horses,and 6 chickens

Help me with 7 and 8 pleaseeeee

Answers

Answer:

7 is 8,and 8 is 23p+9

Answer:

7= 8

8=

Step-by-step explanation:

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]

Find the equation for the axis of symmetry of the given function.
A.
t = 0
B.
t = 5
C.
t = 6
D.
t = 4

Answers

Answer:

A

Step-by-step explanation:

Because i took the the test

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.

what’s the slope of the line? i’m marking a brainliest!

Answers

Answer:

m = -2

Step-by-step explanation:

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

That will be;

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

(x1,y1) = (-5,11)

(x2,y2) = (8,-15)

m = (-15-11)/(8-(-5)) = -26/13 = -2

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

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

It is an error of switching the numerator for the denominator

Use the Distributive Property to rewrite the algebraic expression. 9(3p + 6)

wrong answers reported

Answers

Answer:

27p+54

Step-by-step explanation:

Multiply 9 to all the numbers inside the parenthesis!

Hope this helps! :)

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]

help please
− 20 + (−13) − 7 − (+11) + 14 =​

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

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

2hours 24mins in fraction​

Answers

Answer:

2 2/5

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

Brandy has 8 pounds of candy. She wants to give each of her friends 1/3 pound. To how many friends can Brandy give candy?

Answers

He can give 24 friends some candy

12-b=12.5. Solve each equation

Answers

Answer:0.5
Explanation: 12.5-12=0.5
The answer to this question is 0.5

wouldnt x+x be 2x thanks

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?

On the blueprint of a house and 35 mm represents 10 m an actual length of a living room is 9 m what is the length on the blueprint

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

35mm represents 10m

⇒ 1m = 35/10

⇒ 1m = 3.5mm

Therefore,

The actual length of the room on the blueprint = 3.5 × 9 = 31.5mm

Learn more about unitary method here:

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252.8 x 63.4 please I need help

Answers

Answer:

16027.52

Step-by-step explanation:

Hue is arranging chairs. She can form 2 rows of a given length with 4 chairs left over, or 9 rows of that
same length if she gets 10 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.

Answers

Answer:

9x-10= 2x+4

x=2

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.

6w= 12+6w divided by 2

Answers

w = 2. Don’t listen to the other guy!

Answer:

12w=12 divided by 2

12w=6

=2

Step-by-step explanation:

In UVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ZW to the
nearest 10th of a degree

Answers

Answer:

157.2

Step-by-step explanation:

Delta math

Answer:  157.2  degrees

Step-by-step explanation: Use law of cosines

the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?​

Answers

Answer:

(3,1)

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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