katie is flying a kite on a windy day. her kite is flying at an angle of 22 degrees from the horizontal. just then, katie's kites get stuck in a tree, 35 feet from where she is standing. if katie's ladder is 12 feet tall leaning directly against the tree, will it reach the top of the tree if katie is 5.5 feet tall?

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."

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

What is the volume of a cone with a height of 6 cm in the radius of 2 cm