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bulgar [2K]
3 years ago
5

Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet l

ong. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700
Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Answer:

<u>Given</u>: base = 10.4ft, height = 12.5

Area of octagon = 8(1/2 × b × h)

  • 8(1/2 × 10.4 × 12.5)
  • 520ft²

Volume of pool = 520ft² × 3ft

  • 1560ft³

Now, 1 cubic ft takes 7.5 gallons to fill.

Therefore, 1560 cubic ft takes,

  • 1560 × 7.5
  • 11700

So, <u>Correct choice</u> - [D] 11,700.

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<u>Solution</u><u>:</u>

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  • First square both sides.

=  > ( \sqrt{4x + 13} ) ^{2}  = (x + 2) ^{2}

  • Now, square root and square gets cancel out in the LHS. And in the RHS, apply the identity: (a + b)² = a² + 2ab + b².

=  > 4x + 13 =  {(x)}^{2}  + 2 \times x \times 2 + (2) ^{2} \\  =  > 4x + 13 =  {x}^{2}   + 4x + 4

  • Now, transpose 4x and 4 to LHS.

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  • Now, do the addition and subtraction.

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<u>Answer</u><u>:</u>

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Hope you could understand.

If you have any query, feel free to ask.

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2 years ago
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Step-by-step explanation:

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