Cumulative Exam — Cumulative exam Answers

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

π(4.53) – (4.5)3

(9)3 – π(4.52)

π(4.53) – (9)3

(9)3 – π(4.53)

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A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

23 in.

24 in.

25 in.

26 in.

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options.rectangular prismtriangular prismcylinderconesquare pyramidtriangular pyramid

rectangular prism

triangular prism

cylinder

cone

square pyramid

triangular pyramid

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, −8).Which equation represents this ellipse?

Option

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.

n(n − 1) units3

n(n − 1)2 units3

n2(n − 1) units3

n3(n − 1) units3

Question text not available

(−8, −1) and (−2, −1)

(−6, −1) and (−5, −1)

(−5, −4) and (−5, 2)

(−5, −2) and (−5, 0)

Consider quadrilateral EFGH.

5 units

7 units

16 units

24 units

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

m = 54o and m = 54o

m = 84o and m = 96o

m = 90o and m = 90o

m = 96o and m = 84o

Question text not available

(5π – 11.9) ft2

(5π – 5.8) ft2

(25π – 11.9) ft2

(25π – 5.8) ft2

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.

144

324

Which measurements are correct? Select two options.

m = 60°

m = 120°

m = 180°

m∠XWZ = 60°

m∠YWZ = 120°

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

radians

centimeters

radians

Which statements must be true about the two congruent, shaded figures? Select two options.

The figures are rectangles because they are formed inside a rectangle.

The figures are rhombi because they are formed by four congruent line segments.

The figures are trapezoids because each has exactly one pair of parallel sides.

The figures are parallelograms because their opposite sides are parallel.

The figures are quadrilaterals because each has four sides.

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

3 inches

4 inches

5 inches

6 inches

Quadrilateral W X Y Z is shown. The length of W X is (x + 8) millimeters, the length of X Y is (2 x minus 5) millimeters, the length of Z Y is 15 millimeters, and the length of W Z is (x + 2) millimeters.

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 7 mm.

WXYZ cannot be a parallelogram because there are three different values for x when each expression is set equal to 15.

WXYZ cannot be a parallelogram because the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.

Question text not available

(−20, 0)

(−24, 0)

(25, 0)

(30, 0)

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.Trigonometric area formula: Area =