The circular base of the cone below has center C and another circle, with center B, as shown on the diagram at right. The circle is the base of a smaller cone with height AB. The measurements in the diagram are giving in inches. Triangle ABD is similar to triangle ACE. The smaller cone is removed to create a new object, as shown below. What is the volume of this new object? Use 3.14 for π. Round your answer to the nearest tenth.

Which statement is always true? a. square bcdf is a rectangle. b. rectangle gjkm is a square. c. quadrilateral stpr is a trapezoid. d. parallelogram abcd is a rhombus.

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."

If you could answer these your a life saver