A company is going to make a water tank in the shape of a cylinder. As shown below, the tank will have a height of 2ft and a radius of 5ft. The tank will be made from metal (including its top and bottom). Suppose the total cost of the metal will be 8572.20. How much will the metal cost per square foot? Use 3.14 for pi, and do not round your answer.

Please give an understandable step-by-step explanation. Thank you !!

Answers

Answer 1

Answer:

$39 per square foot.

Step-by-step explanation:

The cylinder has a height of 2 feet and a radius of 5 feet.

The total cost of the metal will be (assuming US dollars) $8572.20.

And we want to determine the cost per square foot.

First, we can find the surface area of the cylinder. The surface area for a cylinder is given by the formula:

[tex]SA=2\pi r^2+2\pi rh[/tex]

Where r is the radius and h is the height.

Since the radius is 5 feet and the height is 2 feet and using 3.14 for π, the surface area is:

[tex]SA=2(3.14)(5)^2+2(3.14)(5)(2) =219.8\text{ feet}^2[/tex]

Therefore, to find the cost of metal per square foot, we can divide the total cost over the amount of surface area. Hence:

[tex]8572.20 / 219.8= \$ 39 \text{ per square foot}[/tex]

So, the metal costs $39 per square foot.


Related Questions

y-1=1/4(x-2) the picture shows better, please help

Answers

Answer: -1

Step-by-step explanation:  Slope = 1.000/2.000 = 0.500

 x-intercept = 2/1 = 2.00000

 y-intercept = -2/2 = -1

Hope this helps!!

Sorry if it's incorrect!!

Have a nice day!!

which angle is vertically opposite to <CFD​

Answers

Answer:

show more of the pict i can't tell what it is

which equation is the point-slope equation of the line that passes through the points (-2,-1) and (7,-4)?

Answers

Answer:

B (for question 7)

Step-by-step explanation:

To find the slope, we use the equation [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex].

m = (-4+1)/(7+2) = -3/9 = -1/3

Since B is the only option that would give a slope of -1/3, B must be the answer.

(you can use this same method for question 8)

What is 2.35 rounded to the nearest hundredth.

Answers

2.35 is already rounded to the nearest hundredth.

need help ty I’ll give brainliest

Answers

Answer:

120

Step-by-step explanation:

all angles of a triangle add up to 180. 180-15-45= 120.

:D

brainliest pls

○=> Correct option :[tex]\color{plum}\tt\bold{(C) \: 120}[/tex]Steps to derive correct option :

Given :

Measure of an angle = 15°

Measure of the second angle = 45°

Let the measure of the third angle be x.

We know that :

▪︎Sum of all angles of a triangle = 180°[angle sum property]

Which means :

[tex] =\tt 15 + 45 + x = 180[/tex]

[tex] =\tt 60 + x = 180[/tex]

[tex] =\tt x = 180 - 60[/tex]

[tex]\hookrightarrow\color{plum}\tt \: x = 120°[/tex]

Thus, the measure of the third angle = 120°

Since the sum of all these angles is equivalent to 180°[15+45+120=180] we can conclude that we have found out the correct measure of the third angle.

Therefore, the correct option is (C) 120

4) Which speed is the fastest?
A. 4 miles in 1/3 hour
B. 1/3 mile in 4 hours
C. 1/2 miles in 3 hours
D. 6 miles in 2/3 hour
Please show all work done to get your answer. URGENT!!!!! I WILL MARK THE FIRST PERSON TO ANSWER BRAINLIEST!!!

Answers

4 times 3 is 12, so A is 12 mph. 1/3 divided by 4 is 1/12, so B is 1/12 mph. 1/2 divided by 3 is 1/6, so C is 1/6 mph. Finally, if 6 is 2/3 of the mph, you’d divide 6 by 2 to get 3, then multiply by 3 to get 9, so D is 9 mph. So A would be the fastest.

The table shows the different prices at a diner.
Sandwich $5
Drink $2
Dessert $3
What is the total cost for both customers?
a $10
b. $20
c. $25
d. $35

Answers

Well doesn’t give what they have but if they had everything then it would be b) $20 this could be wrong

$5+$2+$3-$10
To have the $10

Llam
Is this a right triangle?
Use the Pythagorean Theorem to find out!
20 cm
21 cm
29 cm
Yes
No

Answers

Answer:

Yes

Step-by-step explanation:

29×29=841

21×21=441

20×20=400

29^2-21^2=20^2

841-441=400

400=400

Yes it is a right angle triangle

I'm doing a math test, and I don't understand this question. How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height of 2 1/3 inches?

Answers

Answer: 62

Step-by-step explanation:

First and foremost, we have to calculate the volume of the box which will be:

= 2 2/3 × 3 1/3 × 2 1/3

= 8/3 × 10/3 × 7/3

= 560/27

= 20 20/27

The number of 1/3 inch cubes needed to fill the box will then be:

= 20 20/27 ÷ 1/3

= 560/27 ÷ 1/3

= 560/27 × 3

= 560/9

= 62 2/9

Therefore, 62 boxes can be filled

Explain how to write a quadratic equation given the vertex and another point on the graph, in the form of ()=(−ℎ)2+, vertex form.

Vertex: (−4,6)and point (−3,3)

Answers

4,3 would be the answer for this one to do it and get its

find the value of x

PLZ

Answers

Answer:

x=21

Step-by-step explanation:

wow this waz ez

The value of x is 21

Work out the size of angle x

Answers

80 degrees
it’s like that z thing and the lines are both parallel. so where it’s 100 degrees the opposite is 80 degrees, because it’s a line of 180 degrees. so the line below that is the same. taht made no sense

pls help or else I’m screwed.

Answers

Answer:

D. x = 18 cm , y = 9

Step-by-step explanation:

With reference angle 60

perpendicular (p) = 9[tex]\sqrt{3}[/tex]

base(b)= y

hypotenuse (h) = x

Then

sin 60 = p/h

[tex]\frac{\sqrt{3} }{2} = \frac{9\sqrt{3} }{x}[/tex]

x = 18

Now

cos 60 = b/h

1/2 = y/18

y = 9

Hope it will help :)

Answer:

it's answer is

D. = 18 and y = 9

BRAINLIEST WILL BE AWARDED!

Answers

Answer:

photomath

Step-by-step explanation:

i dont know the answer but photomath is so much easier to get help.

Answer: The second one

Step-by-step explanation:

sorry I don't know how to explain it

Dustin wants a new pair of shoes that cost $40. His mom pays 75% of the cost and dustin pays 25%. How much do they each pay?

Answers

Given:

Dustin wants a new pair of shoes that cost $40.

His mom pays 75% of the cost and dustin pays 25%.

To find:

How much do they each pay?

Solution:

We have,

Total cost of shoes = $40

His mom pays 75% of the cost.

[tex]\text{Mom pays}=\dfrac{75}{100}\times 40[/tex]

[tex]\text{Mom pays}=\dfrac{3}{4}\times 40[/tex]

[tex]\text{Mom pays}=30[/tex]

Dustin pays 25% of the cost.

[tex]\text{Dustin pays}=\dfrac{25}{100}\times 40[/tex]

[tex]\text{Dustin pays}=\dfrac{1}{4}\times 40[/tex]

[tex]\text{Mom pays}=10[/tex]

Therefore, Dustin pays $10 and his mom pays $30.

What is the y-intercept of the graph? *



Answers

Answer:

it's 5 cause it meet the y axis

Answer:

5

Step by step explanation

Can somebody help me?

Answers

A percentage
Have a good dayyyyyy

ill
Simplify each expression:
1. 2x + 4x-5 - +10
2. 4( 5x - 11) - (2x + 11)
3. 5.6y + 9.2x -3.3y +11 - 2x -13

Answers

1. 6x-15
2. 18x-55
3. 7.2x+2.3y-2

F(x)=3x-2 find f^-1(x) than find f^-1(13)

Answers

if X is -1 then sub and it will equal -5

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 3x - 2 ( add 2 to both sides )

y + 2 = 3x ( divide both sides by 3 )

[tex]\frac{y+2}{3}[/tex] = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = [tex]\frac{x+2}{3}[/tex]

To evaluate [tex]f^{-1}[/tex] (13) substitute x = 13 into [tex]f^{-1}[/tex] (x) , that is

[tex]f^{-1}[/tex] (13) = [tex]\frac{13+2}{3}[/tex] = [tex]\frac{15}{3}[/tex] = 5

i need help with algebra 9

Answers

Answer:

i got you just tell me the question

Step-by-step explanation:

Y = 4( x + 2)^2 - 8


Convert the equation from vertex form to standard form.

Answers

i believe the answer is y=4x^2+16x+8

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

How can Adam figure out the height of the light pole?
Please Help​

Answers

Answer:

By using a yard stick taped together maybe

Step-by-step explanation:

I just need help with these 2 questions !

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Answer:

-4/3

9/4

Step-by-step explanation:

hope this helped needed a longer answer lol

Which symbol should go in the blank
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Answers

Answer:

it should be x

Step-by-step explanation:

hope this helps


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Answers

Circumference= π*diameter
So C=3.14*3.7
23.25 is the answer to the question if I’m correct

The figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to . HG


A) BC



B) FG



C) EF



D) BF

Answers

The answer is B.) fG

Answer:

B

Step-by-step explanation:

A graph of a system of two equations is shown.
ту
6
2.
-6
-4
-2
2
4
6
-2
-4
-6
What is the solution of the system?
-2 -1 0 1 2

Answers

Answer:

x=1, y=2

Step-by-step explanation:

thats where they intersect so its the solution

The librarian needs to return 24 books to the shelf. In one hour she finished 3/4 of the job. How many books has she

Answers

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

Answer:

18 books done and 6 books left

Step-by-step explanation:

Which of the binomials below is a factor of this trinomial?
x^2-7x-44

Answers

Answer:

Two factors:

(x + 4) and (x - 11)

Step-by-step explanation:

Did not see list of possible binomials

If f(x)=(1/8)(8x) what is f(3)?

Answers

Answer:

I think it is 64 but not 100% sure

Hope this helps :)

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