Step-by-step explanation:
Using cos ^2x+sin^2 x = 1
RHS = cos ^2x+sin^2 x = 1
Therefore,
LHS = cos ^2 x − cos ^4 x
= cos ^2 x ( 1 − cos ^2 x )
= cos ^2 x sin ^2 x
= ( 1 − sin ^2 x ) sin ^2 x
= sin ^2 x − sin ^4 x
= RHS
Answer:
14 balls will be pink out of 21 balls.
Step-by-step explanation:
Given that:
2 out of every 3 balls are pink in a multi color package.
Ratio of pink balls to balls drawn = 2:3
Number of balls in package = 21 balls
Number of pink balls = x
Ratio = x:21
This is a proportional relationship
2 : 3 :: x : 21
Product of mean = Product of extreme
3x = 21*2
3x = 42
Dividing both sides by 3

Hence,
14 balls will be pink out of 21 balls.
Answer:
Jared worked 11 days as full 8-hour days.
Step-by-step explanation:
We have:
First day = 2 h
Second day = 4 h
After that = 8 h each day
Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:

Where x is the number of days that he works 8-hours.


Therefore, Jared worked 11 days as full 8-hour days.
I hope it helps you!