Use the following identities:

Also because the angle is in quadrant 3, sin must be negative.
Therefore

Subbing in tan = 0.958
The total number of possible combinations from flipping a coin 10 times is 2^10 = 1024.
Answer:
C
Step-by-step explanation:
17.156 is the irrational number as it is terminating(means it ends)
Rest all are irrational
We have 4 deliveries ( 12 1/3 , 8 3/4, 17 2/8 and 23 2/3 miles ) and also the final delivery : 10 5/10 miles = 10 1/2 miles.
We have to add up all the deliveries and to divide the result by 5:
( 12 1/3 + 8 3/4 + 17 1/4 + 23 2/3 + 10 1/2 ) : 5 =
= 72 1/2 : 5 = 72.5 : 5 = 14.5 = 14 1/2
Answer: The average distance for all segments of this trip is 14 1/2 miles.
Power and chain rule (where the power rule kicks in because
):

Simplify the leading term as

Quotient rule:

Chain rule:


Put everything together and simplify:






