The perimeter of a rectangle is 38 in. the width
is 6 in. shorter than the length. find the width
of the rectangle.

Ineed to know the answer to this algebra question.

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Given right triangle abc, what is the value of tan(a)?