Acatering service offers 3 appetizers, 11 main courses, and 4 desserts. a costumer is to select 2 appetizers, 3 main courses, and 3 deserts for a banquet. in how many ways can this be done

True or false? a triangle can be circumscribed about a given circle

Can someone me with the property questions for 12 13 and 14 plz

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) = .