Answers27.3821055 ECSD Geometry Concepts and Connections CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

0 verified answers4 views
21
Free Preview

Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is 8.9 centimeters. Angle L K J is x.

Question illustration
A
cos−1 = x
Option A
B
cos−1 = x
Option B
C
sin−1 = x
Option C
D
sin−1 = x
Option D
22
Free Preview

A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. The apothem of the hexagon is 2 centimeters.

Question illustration
A
21.1 cm3
B
23.6 cm3
C
27.6 cm3
D
31.6 cm3
23

Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. Some are scented and some are unscented. If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.For the events "shower gel” and "scented” to be independent, what must be shown to be true?

A
P(lotion) = 42%
B
P(scented) = 42%
C
P(shower gel | scented) = 42%
D
P(scented | shower gel) = 42%
24

Which best describes independent events?

A
The results of all events have different individual probabilities.
B
The results of any previous events affects the probability of future events.
C
The results of all events have the same individual probability.
D
The results of all previous events do not affect the probability of future events.
25

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
26

Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
27

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.

Question illustration
A
cm3
Option A
B
cm3
Option B
C
cm3
Option C
D
cm3
Option D
28

Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand.Law of cosines:

Question illustration
A
589 meters
B
705 meters
C
792 meters
D
861 meters
30

A three-digit personal identification number is chosen using the digits 1–9. The digits cannot be repeated.What is the approximate probability that the first digit will be 6?

A
0.00595
B
0.03571
C
0.11111
D
0.66667
31

A number cube has faces numbered 1 to 6.What is true about rolling the number cube one time? Select three options.

A
S = {1, 2, 3, 4, 5, 6}
B
If A is a subset of S, A could be {0, 1, 2}.
C
If A is a subset of S, A could be {5, 6}.
D
If a subset A represents the complement of rolling a 5, then A = {1, 2, 3, 4, 6}.
E
If a subset A represents the complement of rolling an even number, then A = {1, 3}.
32

A county in North Carolina spans 532 square miles. The population density of deer in the county is 11 deer per square mile.How many deer live in the county? Round to the nearest whole number, if necessary.

A
48 deer
B
68 deer
C
5,852 deer
D
5,992 deer
33

Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.
34

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B.

Question illustration
A
183 meters
B
250 meters
C
366 meters
D
683 meters
35

Derek Jeter challenges Albert Pujols to a batting battle. Each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. Which player should you back given the statistics in the table below? Note that home runs are included as hits in the table.Data for Two BattersBatterAt BatsHitsHome RunsJeter4881569Pujols44812526

A
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.
B
E(Jeter) = 0.39 and E(Pujols) = 0.51, so back Pujols.
C
E(Jeter) = 0.34 and E(Pujols) = 0.34, so it doesn’t matter who you back.
D
E(Jeter) = 1.22 and E(Pujols) = 0.94, so back Jeter.
36

Two students stand 1 yard apart and measure their respective angles of elevation to the top of a tree. Student A measures the angle to be 57°, and Student B measures the angle to be 46°.Law of sines:

Question illustration
A
3.0 yards
B
3.2 yards
C
3.8 yards
D
4.4 yards
37

A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in the table below.Probability of Profit and Loss by ContractContractProfit, Probability of ProfitProbability to Break EvenLoss, Probability of LossSoutheast$45,000, 50%30%$6,000, 20%Southwest$60,000, 35%40%$10,000, 25%California$112,000, 20%40%$40,000, 40%

A
Southeast
B
Southwest
C
California
D
All contracts include a probability for loss.
38

A parallelogram has side lengths of 4 and 6 and an angle of measure 55°.Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
3
B
5
C
6
D
7
39

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
40

Law of sines:

Question illustration
A
StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction
Option A
B
StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction
Option B
C
StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction
Option C
D
StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction
Option D

Did you find these answers helpful?