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Mnenie [13.5K]
3 years ago
7

S a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at t

he same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in 2 hours and my brother will finish in 3 hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?

Hint(s):

How many sides per hour can I paint? How about my brother? How about both of us together?
Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
Two and a half hours.
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Answer:

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Step-by-step explanation:

We know that the angle between the two hands

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We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12

This is a triangle where we know 2 sides and the angle between them.

We can use the law of cosines to determine the third side

c^2 = a^2 + b^2 -2abcosC

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c^2 = 4^2 + 10^2 -2*4*10 cos60

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Take the square root of each side

sqrt(c^2) = sqrt(76)

c = sqrt(76)

c =sqrt(4) sqrt(19)

c =2 sqrt(19)


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