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Alex73 [517]
3 years ago
10

The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height

, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool?
Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

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This is a typical mixture problem where using a table is the best thing.
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juice A            x                  .70          =        .70x
juice B        60-x                 .95          =    .95(60-x)
total              60                  .75          =    60(.75)

The last row gives you a total that you need to use, so do that multiplication to get 45. You now to need to add the last columns together for rows 1 and 2 and set them equal to 45: .7x +.95(60-x) = 45. When you do that math, you'll get that x = 48. This means that you need 48 pints of juice A and 60-48 pints of juice B, which is 12 pints.
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3 years ago
Could 7.7 cm, 4.0 cm, and 1.7 cm be the side lengths of a triangle?
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7.7+4.0>1.7\\11.7>1.7\ \textsf{(true)}\\\\4.0+1.7>7.7\\5.7>7.7\ \textsf{(false)}\\\\7.7+1.7>4.0\\9.4>4.0\ \textsf{(true)}

<u>Since the second inequality is false, these lengths cannot form a triangle.</u>

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Answer:

Step-by-step explanation:

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3 years ago
Compare. Least to Greatest. SHOW UR WORK‼️
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2/4 is smaller
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So therefore 2/4 is smaller
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3 years ago
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