Asquare rug coves 79 square feet of floor. what is the approximate length of one side of the rug to the nearest hundredth foot? the answers to choose from are 8.86ft, 8.87ft, 8.88ft, and 8.89ft.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.

Which of these phrases uses parallelism to create a sad tone?