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kobusy [5.1K]
3 years ago
6

50 points

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0
Sinx =8/40
in order to solve this you would have to use the inverse which would be Sin^-1(8/40) giving you 11.5
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Answer:

If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool

Step-by-step explanation:

An inlet pipe can fill the pool in hours = 20

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A drain pipe can empty the pool in 21 hours

Drain pipe 1 hour work =\frac{1}{21}

Inlet pipe and drain pipe 1 hour together work = \frac{1}{20}-\frac{1}{21}=\frac{1}{420}

Now we are given that the pool is 2/3 filled

So, remaining portion to be filled =1 - \frac{2}{3} = \frac{1}{3}

So, Inlet pipe and drain pipe fill \frac{1}{420} in hours = 1

So, they can fill 1/3 in hours = \frac{1}{\frac{1}{420}} \times \frac{1}{3} =140 hours

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