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ozzi
3 years ago
12

experienced housepainter can paint an inside wall in under twenty minutes. An inexperienced housepainter can take up to one hour

. If a team of an experienced painter and an inexperienced painter work on a room together, what is the longest it should take them to paint the four walls, if they finish at the same time?
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
1 hour
The exerience 3 walls in a hour and the other guy paint the otherone
Sorry i dont speek english
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Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

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When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta

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\sec^2\theta -1=\tan^2\theta

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Problem B)

We have:

\sin^3x=\sin x-\sin x \cos^2 x

Factor out a sine:

\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x

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\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x

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Problem C)

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\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x

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Answer:

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Step-by-step explanation:

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