Answers27.3821055 ECSD Geometry Concepts and Connections CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

0 verified answers3 views
41
Free Preview

Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?

A
He could get a new, complete deck of playing cards.
B
He could return the first card back to the original deck.
C
He could put the first card he removed into his pocket.
D
He could choose to not remove the second card.
42
Free Preview

Points H and F lie on circle C.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
43

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

Question illustration
A
radians
Option A
B
centimeters
Option B
C
radians
Option C
D
radians
Option D
44

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.

Question illustration
A
1.4° and 88.6°
B
18.6° and 71.4°
C
35.5° and 54.5°
D
44.4° and 45.6°
45

In the diagram below, = . What is the value of m?

Question illustration
A
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option A
B
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option B
C
StartRoot 3 EndRoot
Option C
D
2 StartRoot 3 EndRoot
Option D
46

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

A
π more meters
B
2π more meters
C
4π more meters
D
5π more meters
47

AC and DB are chords that intersect at point H.

Question illustration
A
4 units
B
8 units
C
16 units
D
20 units
48

Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}
49

Jaxon has a bag of marbles. He draws one marble from the bag. Before drawing another marble from the bag, what could Jaxon do to ensure that the events are independent of each other?

A
keep the marble he initially drew from the bag
B
return the marble he initially drew from the bag
C
add more marbles to the bag
D
remove all marbles that are the same color as the first one
50

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

Question illustration
A
cos(53o) =
Option A
B
cos(53o) =
Option B
C
cos(53o) =
Option C
D
cos(53o) =
Option D
51

Law of sines:

Question illustration
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
Option A
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Option B
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
Option C
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Option D
52

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
45°
B
135°
C
240°
D
540°
53

Which statements about the design are true? Select three options.

A
Each sprinkler head is placed more than 3 feet from the walkway.
B
If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.
C
The total area watered by each sprinkler is approximately 63.6 square feet.
D
The total area watered by all the sprinklers is approximately 254 square feet.
E
If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
54

Law of sines:

Question illustration
A
No triangles can be formed.
B
One triangle can be formed where angle B is about 15°.
C
One triangle can be formed where angle B is about 40°.
D
Two triangles can be formed where angle B is 40° or 140°.
55

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
56

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
43°
B
49°
C
53°
D
58°
57

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)Area of a circle = πr2

A
0.02 bacteria per square millimeter
B
0.42 bacteria per square millimeter
C
2.39 bacteria per square millimeter
D
52.5 bacteria per square millimeter
58

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

Question illustration
A
4 units
B
7 units
C
12 units
D
23 units
59

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
4
B
6
C
10
D
15
60

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
10
B
12
C
13
D
14

Did you find these answers helpful?