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sergij07 [2.7K]
3 years ago
9

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

d with water to 6 inches from the top of the pool, what is the volume to the nearest cubic foot or their water in the pool
Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

r=18/2=9\ ft ----> the radius is half the diameter

Remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

h=4.5-0.5=4\ ft

assume

\pi =3.14

Find the volume of the water

V=(3.14)(9^{2})(4)

V=1,017\ ft^3

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in an election an amount of votes was share among parties A,B and C in the ratio of 1:2:4. How many votes party B obtained if pa
spayn [35]

1000

Step-by-step explanation:

Let the share of votes obtained by the parties A, B and C be x, 2x and 4x respectively.

According to the given information:

No of votes obtained by C = 1500 + No of votes obtained by A

\therefore 4x = 150. + x \\\\\therefore 4x - x = 1500\\\\\therefore 3x = 1500\\\\\therefore x = \frac{1500}{3} \\\\\therefore x = 500\\\\\because Votes \:obtained\: by \:B = 2x \\\\\therefore Votes \:obtained\: by \:B = 2\times 500\\\\\purple {\bold {\therefore Votes \:obtained\: by \:B = 1000}} \\\\

7 0
3 years ago
paul paid $25.50 for 3 cups of hot chocolate and 4 cups of hot tea. the cost of each cup pf tea was 2.3 the cost of each cup of
Bumek [7]
How To Solve It:

$2.30 x 4 = $9.20

$25.50 - $9.20 = $16.30

$16.30 ÷ 3 = $5.43

Answer:

Each cup of hot chocolate costs $5.43

I hope this helps! :)
5 0
4 years ago
Which choice is the approximate measure of ∠E?<br><br> 64.80<br> 61.93<br> 28.07<br> 25.20
Advocard [28]
The answer is 28.07. I just took this test
4 0
3 years ago
A botanist was measuring how tall her plant grew. After two weeks it had grown 12.93 inches.The second week alone it had grown 3
Korolek [52]

Answer:

  9.5 inches

Step-by-step explanation:

The relationship is presumed to be ...

  (first week's growth) + (second week's growth) = (growth in two weeks)

  (first week's growth) + 3.43 inches = 12.93 inches . . . . . fill in the numbers

Subtract 3.43 from both sides of the equation:

  first week's growth = 12.93 inches - 3.43 inches

  first week's growth = 9.50 inches

The plant grew 9.50 inches in the first week.

6 0
3 years ago
-2(3x+9)=-54<br><br> AND 2(3x+4) -3x=35 <br><br> SHOW WORK PLEASE
Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

1.

-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6

2.

2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9

<u>Written Explanation: </u>

1.

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2.

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

5 0
3 years ago
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