An angle measures 49º. How many degrees
is the supplement of this angle?

Colin listed his assets and liabilities on a personal balance sheet. colin’s balance sheet (august 2013) assets liabilities cash $1,500 credit card $500 stocks $800 rent $800 car $5,000 car loan $1,200 coin collection $1,200 student loan $5,000 total total which statement is true about the total assets and the total liabilities? the total of the assets and the liabilities are the same. the total of the assets is greater than the total of the liabilities. the total of the assets is less than the total of the liabilities. the total of the assets cannot be compared to the total of the liabilities.

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) = .

Kayaks rent for $35 per day. which expression can you use to find the cost in dollars of renting 3 kayaks for a day?