(Suppose ABC is a right triangle with sides a, b, and c) The right angle is at C. Use the Pythagorean theorem to find the unknown side length. Then find the values of the six trigonometric functions for angle B. Rationalize the denominators when applicable. a= 8
c= 9

length of side B= ?
sinB= ?
cosB= ?
tanB= ?
secB= ?
cscB= ?
cotB= ?

Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Logan wants to know how many skateboards have defective parts. he inspects 20,000 skateboards and keeps track of the number of defects per board. use his probability distribution table to find the expected value for defects on a skateboard.