Of the 30 girls who tried out for the lacrosse team at euclid middle school, 12 were selected. of the 40 boys who tried out but, 16 were selected. are the ratios of the numbers of students on the team to the number of students trying out the same for both boys and girls? how do you know?

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

If rt is greater than ba, which statement must be true ?

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)