Use the law of cosines to find the value of cos theta. round your answer to two decimal places. the opposite side of the theta is 5.7. adjacent to the theta is 9.8. hypotenuse is 10.2 a. 0.35 b. 0.23 c. 0.84 d. 1.23

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Compare the following pair of numbers a and b in three ways. a. find the ratio of a to b. b. find the ratio of b to a. c. complete the sentence: a is percent of b. a=120 and b=340 a. the ratio of a to b is . b. the ratio of b to a is . c. a is nothing percent of b.

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.