Jay walks 60 meters to a slide in 180 seconds. He slide down 9 times as fast as he walks to the slide. If it takes 30 seconds to slide down, how long is the slide?

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

How is the number of vertices for a prism related to the name of the prism

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) = .