Cumulative Exam — Cumulative exam Answers

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

One exterior angle of a regular pentagon has a measure of (2x)°. What is the value of x?

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.

Which three-dimensional figure has half the number of vertices as the rectangular prism?

Which measurements are correct? Select two options.