5cos (2x)+7=cos (2x)+8, 4cos (2x)=1, cos (2x)=1/4, 2x=arccos(1/4), x=(1/2)arccos (1/4). I used x instead of theta, and arccos is cos inverse
Answer and explain:
1st person: 70 % throws
70/100x80 = 56 out of 80 throws
2nd person: 60% throws
60/100x80 = 48 out of 80 throws
3rd person 50% throws
50/100x80 = 40 out of 80 throws
56+48+40/80x3 = 77/120
One equation that gives the estimated number of free throws (all the 3 people) is 77 out of 120. The best player will make about 56 out of 80 free throws.
First add the ratio 1:3:5 together to give you the total number:
1 + 3 + 5 + = 9
Therefore you divide 72 by 9 to give you one part
72 divide 9 = 8
Now you times each part of the ratio by 8:
1 x 8 = 8
3 x 8 = 24
5 x 8 = 40
Therefore the answer would be written like this:
8:24:40
Hope this helps