Aright rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. what is the volume of the prism? enter your answer in the box. ||cm³

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) = .

Ineed with the quizzes in apex mathematics ii

Find the value of the variable and the length of each chord for #5 and #6.