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>
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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)
I hope this helps! :)
Answer: Carlos is right
Step-by-step explanation:
why because in dilation, the image and the original are similar, in that they are the same shape but not necessarily the same size. They are not congruent because that requires them to be the same shape and the same size, which they are not (unless the scale factor happens to be 1.0).
Diya is wrong because the picture is the not the same size && the image is going to stay the same
8 pencils = 1 package
28 children need pencils
Each child gets 4 pencils
28x4 = 112 (pencils needed)
112/8 = 14 packages needed.
Answer:
Andrews residence is higher than Lisa's residence
Step-by-step explanation:
