The function a(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its other base. it takes as input the other base value, and returns as output the area of the trapezoid. a(b)=14*(b+5/2) which equation below represents the inverse function b(a), which takes the trapezoid's area as input and returns as output the length of the other base?

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i

Given the net of the rectangular prism, what is its surface area?

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)