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Readme [11.4K]
4 years ago
10

A cylindrical storage tank has a depth of 9 ft and a radius measuring 2 ft. The tank needs to be painted. If 1 pint of paint cov

ers 50 ft2 and you can only purchase full pints of paint, how many pints must be purchased to paint the exterior of the storage tank?
Mathematics
1 answer:
ludmilkaskok [199]4 years ago
3 0

Answer: 3 pints of paint

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a cylinder: 2 π r2 + 2 π r h

Where r is the radius and h is the height of the storage.

Replacing with the values given:

SA = 2 π (2)^2 + 2 π (2) 9

SA= 2 π (4)+ 2 π 18

SA= 138.23 ft2

Since 1 pint of paint covers 50 ft2 , we have to divide the surface area by the area that each pint of paint covers:

138.23 / 50 = 2.76 = 3 pints of paint

Feel free to ask for more if needed or if you did not understand something.

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3 years ago
I NEED HELP ASAP !! IF YOU ANSWER WITHOUT ACTUALLY ANSWERING AND ONLY FOR POINTS YOU WILL BE REPORTED!!
Kipish [7]

Answer:

D for the first one and the second one

Step-by-step explanation:

i learned this trust me

3 0
3 years ago
Read 2 more answers
3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
madam [21]

Answer:

  ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

  AB = CD

  2x +1 = 3x -11

  12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

  2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

  AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

3 0
3 years ago
Find the perimeter of a rectangle whose length is 3 cm greater than its height, and whose area is 40 cm².
jonny [76]

Answer: 26\ cm

Step-by-step explanation:

The perimeter of a rectangle can be calcualated with this formula:

P=2l+2h

Where "l" is the lenght and "h" is the height.

 The area of a rectangle can be found with this formula:

A=lh

Where "l" is the lenght and "h" is the height.

In this case we know that:

A=40\ cm^2

Therfore, we can susbsitute them into A=lh and solve for "h" in  order to find its value:

40=(h+3)h\\\\40=h^2+3h\\\\h^2+3h-40=0

Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:

(h-5)(h+8)=0\\\\h_1=5\\\\h_2=-8

The positive value is the height. Then:

h=5\ cm

Since the length is 3 centimeters greater than its height, we get that this is: Then:

l=5\ cm+3\ cm\\\\l=8\ cm

Substituting values into P=2l+2h, we get that the perimeter is:

P=2(8\ cm)+2(5\ cm)\\\\P=26\ cm

8 0
4 years ago
Read 2 more answers
Simplification <br>-4a+b+3c+3a-3b+c​
damaskus [11]

Answer:

-a+-2b+4c

Step-by-step explanation:

Combine like terms

-4a+ 3a= -a

b+ -3b= -2b

3c+ c= 4c

7 0
3 years ago
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