A triangle has side lengths of (4.7a-6.2b) centimeters, (6.3a+5.1c) centimeters, and (1.6c-4.9b) centimeters. Write an expression (in the simplest form) to represent the perimeter of the triangle.

Mustafa contributes 11% of his $67,200 annual salary to his 401k plan. what is his pretax income

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) = .

Given: ∆mop p∆mop =12+4 3 m∠p = 90°, m∠m = 60° find: mp, mo