Cos(12x) = cos(6x+6x) = cos6xcos6x -sin6xsin6x = cos^2(6x) -sin^2(6x)
1 - cos(12x) = 1 - (cos^2(6x) -sin^2(6x)) = sin^2(6x) +cos^2(6x) - cos^2(6x) +sin^2(6x) = 2sin^2(6x)
so choice A. is right sure
C = 2*pi*r
So, C = pi*d
106.76 = pi*d
106.76/pi = d
d = ~33.98
Subtract 100,000 by 82,052
If you do this correctly the answer would be 17,948 dollars.
You first multiply 7*150 and that is 2100 bars of soaps you need to last 7 days. If there is 150 bars in each case you divide 2100 by 150 and you get 14?. You are using 14 cases for 7 day.