Cumulative Exam — Cumulative exam Answers

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.

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Consider kite FGHJ.

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

Figure PQRS is a parallelogram.

Consider quadrilateral EFGH.

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Triangle BDC is isosceles.

Points H and F lie on circle C.

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

On a coordinate plane, a circle has a center at (negative 2, 1).

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

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?

A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.