1. If the areas of three of the faces of a rectangular solid are 6,10 and 15, what is the volume of the solid?
2.△RST lies in the XY-plane and points R and T have (x, y) coordinates (0,0) and (6,0), respectively. The area of △RST is 12.
The x-coordinate of R
The y-coordinate of S
3.What is the maximum number of nonover-lapping regions into which 3 lines can divide the interior of a circle?
4.The rectangular rug shown in the figure above has a floral border 1 foot wide on all sides. What is the area, in square feet, of that portion of the rug that excludes the border?
5. The diagram represents a rectangular garden. The shaded regions are planted in flowers, and the unshaded region is a walk 2 feet wide. All angles are right angles.
The sum of the areas of the shaded regions
2,800 square feet
6.What are the coordinates of point B in the xy-plane above?
7.If 9 trees are originally planted in a circular pattern as shown above, what is the least number of trees that must be transplanted so that the 9 trees will be in 2 straight rows?
8.If the sum of the measures of two angles is 180o,each angle is a supplement of the other, whereas, if the sum of their measures is 90o, each is a complement of the other.
The measure of an angle with a supplement that measures 130o
The measure of an angle with a supplement that measures 40o
9.If a solid pyramid has 4 vertices and 4 faces, how many edges does the pyramid have?
10.A rectangular floor with an area of 12 square meters is drawn to scale with 2 centimeters representing 1 meter.
The area of the scale drawing of the floor
24 square centimeters