A model boat is made to a scale of 1:20. This scale can be applied to any units, so 1mm measured on the model is 20mm on the actual boat, 1 cm measured on the model is 20cm on the actual boat. a) If the 1:20 model boat is 15cm wide, how wide is the actual boat? b) If the boat has a mast of height 4m, how high is the mast on the model?

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."

25 ! the line of best fit is h = 5a + 86. predict the height at age 16.

A. 127 cm^2 b. 144.5 cm^2 c. 172 cm^2 d. 50 cm^2