AnswersGeometry Concepts and ConnectionsN/A

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50 verified answers
1
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What is the length of line segment DB ?

A
16 units
B
20 units
C
8 units
D
4 units
2
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Which is the slant height of the pyramid if Helen uses all the clay?

A
3 inches
B
4 inches
C
6 inches
D
5 inches
3

What are the measures of angles PQR and PSR ?

A
m angle PQR is equal to 54 degrees and m angle PSR is equal to 54 degrees
B
m angle PQR is equal to 84 degrees and m angle PSR is equal to 96 degrees
C
m angle PQR is equal to 96 degrees and m angle PSR is equal to 84 degrees
D
m angle PQR is equal to 90 degrees and m angle PSR is equal to 90 degrees
4

What is the volume of the shaded portion of the composite figure? Express your answer in terms of pi

A
open paren 600 pi minus 81 close paren times units cubed
B
681 pi units cubed
C
519 pi units cubed
D
open paren 600 minus 81 pi close paren times units cubed
5

What is the length of line segment GF ?

A
12 point 5 units
B
20 point 0 units
C
15 point 0 units
D
17 point 5 units
6

What is the length of line segment DG ?

A
7 units
B
12 units
C
23 units
D
4 units
7

The events "prefers pink lemonade” and "female” are independent because

A
cap p times open paren female divides pink lemonade close paren is equal to cap p times pink lemonade is equal to 0 point 3 .
B
cap p times open paren pink lemonade divides female close paren is equal to 0 point 3 and cap p times pink lemonade is equal to 0 point 6 .
C
cap p times open paren female divides pink lemonade close paren is equal to 0 point 3 and cap p times pink lemonade is equal to 0 point 6 .
D
cap p times open paren pink lemonade divides female close paren is equal to cap p times pink lemonade is equal to 0 point 6 .
8

What is the measure of arc AD ?

A
106 degrees
B
74 degrees
C
180 degrees
D
53 degrees
9

What is m overarc AB ?

A
120 degrees
B
144 degrees
C
108 degrees
D
72 degrees
10

Which expression represents the volume, in cubic units, of empty space in the cube?

A
4 thirds pi open paren 4 point 5 cubed close paren minus 4 point 5 cubed
B
9 cubed minus 4 thirds pi open paren 4 point 5 cubed close paren
C
4 thirds pi open paren 4 point 5 cubed close paren minus 9 cubed
D
9 cubed minus 4 thirds pi open paren 4 point 5 squared close paren
11

Which statements about the design are true? Choose three correct answers.

A
The total area watered by all the sprinklers is approximately 254 square feet.
B
If the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
C
If two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered.
D
Each sprinkler head is placed more than 3 feet from the walkway.
E
The total area watered by each sprinkler is approximately 63 point 6 square feet.
12

In circle cap y , what is m frown set over TU ?

A
118 degrees
B
67 degrees
C
71 degrees
D
59 degrees
13

In circle cap y , what is m angle SZT ?

A
94 degrees
B
128 degrees
C
86 degrees
D
108 degrees
14

The volume of the prism is 234 cubic units. What is the height of the prism?

A
8 units
B
6 units
C
3 units
D
4 units
15

How many employers ask that employees be skilled in communication and handling money?

A
50
B
67
C
47
D
86
16

Which expression represents the volume of the pyramid?

A
1 third n open paren n minus 1 close paren squared units cubed
B
1 third n squared open paren n minus 1 close paren units cubed
C
1 third n open paren n minus 1 close paren units cubed
D
1 third n cubed open paren n minus 1 close paren units cubed
17

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?

A
35
B
1,680
C
2,620
D
840
18

Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?

A
8
B
4
C
10
D
6
19

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
pi more meters
B
2 pi more meters
C
5 pi more meters
D
4 pi more meters
20

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?

A
33 percent
B
37 percent
C
7 percent
D
5 percent

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