Answer:
Option C. cos70°
Step-by-step explanation:
we know that
If two angles are complementary, then the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle
Remember that
Tow angles are complementary , if the sum of their angles is equal to 90 degrees
so
If A+B=90°
then
sin(A)=cos(B)
cos(A)=sin(B)
In this problem we have
A=20°
B=90°-20°=70°
therefore
sin(20°)=cos(70°)
cos(20°)=sin(70°)
Answer:
169/12 square units.
Step-by-step explanation:
Answer:
483 840 ways
Step-by-step explanation:
Let you and your friend be A and B.
With three people always between you two,, we have
Case 1: AxxxBxxxxx
Case 2: xAxxxBxxxx
Case 3: xxAxxxBxxx
Case 4: xxxAxxxBxx
Case 5: xxxxAxxxBx
Case 6: xxxxxAxxxB
So there is 6 ways of arranging you two through the line and for each of the six cases,
If you two remained in your positions, the rest can be arranged in 8! ways
Also for each case, you two can interchange your positions in 2! ways
Therefore,
The photographer can rearranged the line keep three people between you an your friend in
8! * 2! * 6 = 483 840 ways
It says to simplify so number 3 would be 12

Number 4 is

Number 5 is