Select the correct answer. h
area of base B
A pyramid is placed inside a prism as shown. The pyramid has the same base area, B as the prism but half the heighth of the prism. Which
expression gives the volume of the pyramid?
Av=Bh
B. VB
CV = 2B
D. VERA
IMG 1205 NOV
21

How many kilometers are equal to 5 miles? use 1 mile ≈ 1.61 kilometers. !

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) = .

Write 5(6x+4)-2(5x-2) in the form a(bx+c) where a,b and c integers and a> 1