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zavuch27 [327]
3 years ago
14

Jane moved from a house with 72 square feet of closet space to an apartment with 44.64 square feet of closet space. What is the

Mathematics
1 answer:
Rashid [163]3 years ago
6 0

Answer:

c. 38$

Step-by-step explanation:

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Cot (15 degrees)
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Answer:

Part I: cot(15 degrees) = cot(45 - 30)

Part II: Evaluation is below

Step-by-step explanation:

<em>Everything is done in degrees</em>

<em />

Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)

We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:

(4 + 2sqrt(3))/2 = 2 + sqrt(3)

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Step-by-step explanation:

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