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2 years ago

14

Water is leaking from the bottom of a canonical cup that is 6 inches across and 8 inches deep. Given that the cup loses 0.9 inch

es of water per minute, at what rate is the water level changing when the water is 4 inches deep?

1 answer:

DochEvi [55]2 years ago

3 0

6 inches AND IT HADS UP TO 4.69 INCHES

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Using the cosine double angle formula,

$\cos 2\theta=2\cos^2 \theta-1=\frac{12}{13}\\\\2\cos^{2} \theta=\frac{25}{13}\\\\\cos^{2} \theta=\frac{25}{26}\\\\\boxed{\cos \theta=\frac{5}{\sqrt{26}}}$

(Note I took the positive case since $\theta$ terminates in the first quadrant)

Using the Pythagorean identity,

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(Note I took the positive case since $\theta$ terminates in the first quadrant)

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