Hunter is creating a stained glass windowpane that will be 21 inches by 72 inches. To make the rectangular windowpane, Hunter fuses together two triangles of colored glass. What is the perimeter of one triangle?

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Acylinder has volume 45π and radius 3. what is it’s height?