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Ksivusya [100]
3 years ago
6

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

Cosine 24 = adjacent / hypotenuse (x)

0.91355  = 11 / hypotenuse

hypotenuse = 11 /  0.91355

hypotenuse (x) = 12.0409391933

or x = 12.04 (rounded)

Step-by-step explanation:

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Dafna11 [192]

The approximate length of rail that needs to be replaced is 7.1 ft

<h3>Length of arc</h3>

Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where

  • Ф = central angle of rail section = 27° and
  • D = diameter of circular pool = 30 ft

<h3>Approximate length of rail</h3>

So, substituting the values of the variables into the equation, we have

L = Ф/360° × πD

L = 27°/360° × π × 30 ft

L = 3/40 × π × 30 ft

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L = 2.25 × π  ft

L = 7.07 ft

L ≅ 7.1 ft

So, the approximate length of rail that needs to be replaced is 7.1 ft

Learn more about length of an arc here:

brainly.com/question/8402454

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