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blsea [12.9K]
3 years ago
6

What is m∠C ? Anyone willing to help me (:

Mathematics
1 answer:
ra1l [238]3 years ago
5 0

Answer:

<h2>50°</h2>

Step-by-step explanation:

Use the cosine law:

AB^2=CB^2+CA^2-(CB)(CA)\cos(\angle C)

We have:

AB=6,\ CB=6.5,\ CA=7.5

Substitute:

6^2=6.5^2+7.5^2-2(6.5)(7.5)\cos(\angle C)

36=42.25+56.25-97.5\cos(\angle C)

36=98.5-97.5\cos(\angle C)           <em>subtract 98.5 from both sides</em>

-62.5=-97.5\cos(\angle C)           <em>divide both sides by (-97.5)</em>

\cos(\angle C)\approx0.641\to m\angle C\approx50^o

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Answer:

The hose pipe can fill the pond in 21.465 hours.

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Given that, a inlet pipe and a hose pipe together can fill the pond in 10 hours.

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