Please Help... Evaluate the function requested. Write your answer as a fraction in lowest terms.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 82, adjacent B C is 18, opposite A C is 80.
Find cos B.
a.
Cosine B = StartFraction 9 Over 41 EndFraction
b.
Cosine B = StartFraction 9 Over 40 EndFraction
c.
Cosine B = StartFraction 40 Over 41 EndFraction
d.
Cosine B = StartFraction 41 Over 40 EndFraction

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the front two wheels are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle? express your answer in the form "k \pi", where k is an integer.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.