Cumulative Exam — Cumulative exam Answers

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

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.

Circle Y is shown. Chords R T and S U intersect at a point. Arc S R is 55 degrees and the angle that intercepts that arc is 63 degrees.

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.

Including Jose, there are eight people in his family.If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

In circle E, and are diameters. Angle BCA measures 53°.

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

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

Figure PQRS is a parallelogram.

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.

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

The area of the regular octagon is 10.15 cm2.

The formula for the area of a rectangle is A = lw.

Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?

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

People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below.Pink lemonade: 156 males, 72 femalesYellow lemonade: 104 males, 48 females

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

A guidance counselor reports that in a given semester, the probability that a student chooses art as an elective is 15 percent, the probability that a student chooses art or drama is 20 percent, and the probability that a student chooses both art and drama is 2 percent.What is the probability that a student chooses drama as an elective?