Abase of a triangle is 3 cm and the height is 5 cm. what operations described must be performed in order to find the area of the triangle?

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) = .

Find each value of the five-number summary for this set of data. [note: type your answers as numbers. do not round.] 150, 120, 136, 180, 158, 175, 124, 162 minimum maximum median upper quartile lower quartile

Will positive numbers always have a higher absolute value than negative numbers?