The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases.

A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5.

What is the volume of the composite figure?

715 units3
2,035 units3
2,750 units3
3,465 units3

Is the open sentence 5x-2=3x+2 true when x=2? justify your answer.

George is folding a piece of paper to make an origami figure. each time he folds the paper, the thickness of the paper is doubled. the paper starts out flat, with a thickness of 1 millimeter. a. write a list of six ordered pairs showing the output as the thickness of the paper when the input is the number of times it is folded. explain how you came up with your ordered pairs. b. is this relation a function? explain why or why not using the ordered pairs you came up with in part a.

Asquare has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth. 1519.76 units2 379.94 units2 616.56 units2 154.14 units2