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:
0.90$
Step-by-step explanation:
4hour=0.60
6hour=x
x=(0.60×6)/4
x=0.90$
The formula for volume is Length x width x height.
Bottom: 18 * 12 * 8 = 1728 cubic centimeters.
Middle: 12 * 8 * 6 = 576 cubic centimeters.
Top = 4 *4*4 = 64 cubic centimeters.
Total: 1728 + 576 + 64 = 2368 cubic centimeters.
Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180
39 + 102 + x = 180
141 + x = 180
Subtract 141 from both sides
x = 180 - 141
x = 39
The factorization: (x-9) (x+12) (AC method)
X intercepts: (9,0), (-12,0)
Y intercepts: (0, -108)
