2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
Answer:
Total 25.45 hours will be taken to empty the pool.
Step-by-step explanation:
Time taken by large pumpkin to empty the pool=40 hours
Time taken by the smaller pumpkins to empty the pool=70 hours
Amount of pool emptied by large pumpkin in one hour=
Amount of pool emptied by small pumpkin in one hour=
Amount of pool emptied in one hour if both pumpkins work together=
+ 
=
Therefore, the no. of days will be the reciprocal of the amount of work done in one hour ie . 
Total 25.45 hours will be taken to empty the pool.
Answer:
Step-by-step explanation:
uhm sure
Answer:

Step-by-step explanation:
So we have:

This is the same as:

Separate:

Replace the second term with i:

The square root of 66 cannot be simplified.
So, this is our answer :)
Answer:
180 feet
Step-by-step explanation:
The length of each curtain = 48 inches. Let the length of the curtain in feet be represented by x.
But,
1 inch = 12 feet
So that,
48 inches = x feet
⇒ x = 
= 4
Thus,
48 inches = 4 feet
The number of feet of fabric needed for 45 curtains can be determined as:
45 x 4 feet = 180 feet
Therefore, 180 feet of fabric would be needed to make 45 curtains.