A temporary support for an architectural feature is positioned 2 feet away from the wall and forms an 80* angle with the ground. How far up the wall does the support reach ?

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."

Michael is training for a marathon. in his first week he plans to run 8miles. what path should he take

Solve each quadratic equation by factoring and using the zero product property. 10x + 6 = -2x^2 -2