316 3. Find the smallest number which is divifible by
16 and 20.
(A) 40
169
(B) 80
120
(D) 160
4 ,
O
56
4. Given that p? + q=
pxq. find the value of a if a = 132 + 15
(A) 28
(B) 175
(C) 195
inn​

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) = .

Using the information in the customer order, determine the length and width of the garden. enter the dimensions. length: feet width: feet

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square