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kotykmax [81]
3 years ago
14

Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold wate

r faucet 18 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own
Mathematics
1 answer:
MArishka [77]3 years ago
7 0
Cf=cold faucet rate
hf=hot faucet rate

cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72

It takes 14.4 minutes.
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Answer:

<em>x = 437.3 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.

We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.

Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:

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