PLEASE HELP!! Condense and evaluate the following expressions using identities: 1. cos pi/3 * cos (5pi)/6 - sin pi/3 * sin (5pi)/6

3. (tan 122 degrees - tan 32 degrees)/(1 + tan 122 degrees * tan 32 degrees)

4. 2sin 15 degrees * cos 15 degrees
You don’t have to answer all of them but it would be cool

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

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’s the answer ? use the picture to see the problem