Foot friends uses the same type of leather in their men's and women's hiking boots. During one week the company used 290 ft- of leather to make 40 pairs of men's size 10
hiking books and 60 pairs of size 7 women's hiking boots. Another week the company
used 275 ft of leather to make 50 pairs of men's size 10 hiking boots and 40 pairs of
women's size 7 hiking boots. Find out how much leather is used to make 1 pair of men's
size 10 hiking book and 1 pair of women's size 7 hiking boot.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

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.

In the figure below, triangle rpq is similar to triangle rts. what is the distance between p and q? a. 24 b. 42 c.50 d. 54