Cumulative Exam — Cumulative exam Answers

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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch.Heron’s formula: Area

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A
19 square inches
B
37 square inches
C
60 square inches
D
95 square inches
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A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

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A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
23

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.What is the lateral area of the smaller cylinder?

A
17.1π mm2
B
33.6π mm2
C
60π mm2
D
84π mm2
24

Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?

A
Yes, they both partition the segment into a 1:3 ratio.
B
Yes, they are both the distance from one endpoint to the other.
Option B
C
No, P is the distance from A to B, and Q is the distance from B to A.
Option C
D
No, Q is closer to A and P is closer to B.
25

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

A
QS = 13
B
5 < QS < 8
C
QS > 13
D
3 < QS < 13

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