AnswersIC Pre-Cal - DeeringArea and Perimeter of Triangles

Area and Perimeter of Triangles — Unit test Answers

0 verified answers
1
Free Preview

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.Heron’s formula: Area

Question illustration
A
6 square feet
B
7 square feet
C
19 square feet
D
22 square feet
2
Free Preview

Which of the following is the equation of the function below?

Question illustration
A
y equal to 2 secant (x plus StartFraction pi over 6 EndFraction) plus 2.
Option A
B
y equal to 2 secant left-square-bracket 2 (x plus StartFraction pi over 6 EndFraction) plus 2.
Option B
C
y equal to 2 secant left-square-bracket 2 (x minus 2) plus StartFraction pi over 6 EndFraction.
Option C
D
y equal to 2 secant (x plus 2) plus StartFraction pi over 6 EndFraction.
Option D
3

The parent cosecant function is shifted 2 units down, and its period is changed to . Which of the following is the graph of the transformed function?

Question illustration
A
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals negative 1 at (3 by 2 pi comma negative 1) and (negative 9 by 2 pi comma negative 1). Another line y equals negative 3 touches at (3 by 2 pi comma negative 3) and (negative 9 by 2 pi comma negative 3).
Option A
B
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 4 to 4 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (3 by 2 pi comma1) and (negative 9 by 2 pi comma 1). Another line y equals negative 1 touches at (9 by 2 pi comma negative 1) and (negative 3 by 2 pi comma negative 1).
Option B
C
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 6 to 2 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (6 pi comma1), (0 comma 1) and (negative 6 pi comma 1). Another line y equals negative 3 touches at (3 pi comma negative 3) and (negative 3 pi comma negative 3).
Option C
D
On a coordinate plane, the x axis ranges from negative 6 pi to 6 pi with an interval of pi units and the y axis ranges from negative 4 to 4 with an interval of 2 units. A graph of a function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 1 at (6 pi comma1), (0 comma 1) and (negative 6 pi comma 1). Another line y equals negative 2 touches at (3 pi comma negative 1) and (negative 3 pi comma negative 1).
Option D
4

Which of the following is the equation of the function below?

Question illustration
A
y equal to 2 cosecant left-square-bracket 2 (x + pi) right-square-bracket minus 2.
Option A
B
y equal to o point 5 secant left-square-bracket 2 (x + pi) right-square-bracket minus 4.
Option B
C
y equal to 0 point 5 cosecant left-square-bracket 2 (x + pi) right-square-bracket minus 4.
Option C
D
y equal to 2 secant left-square-bracket 2 (x + pi) right-square-bracket minus 2.
Option D
5

From where Kiana is standing, she must look up at a 50° angle to see the top of a building. If she backs up 50 feet, she will need to look up at a 40° angle to see the top of the same building. Approximately how tall is the building?

Question illustration
A
119.0 ft.
B
141.8 ft.
C
185.1 ft.
D
220.6 ft.
6

Jake and Maddie each take the closest path from their homes to the store. Based on the picture below, what is the approximate difference in the distance each person traveled to the store?

Question illustration
A
1.4 m
B
5.9 m
C
6.4 m
D
7.7 m
7

What is the amplitude of the cosine function corresponding to the secant function graphed below?

Question illustration
A
–2
B
–1
C
2
D
3
8

What is the domain of the function ?

Question illustration
A
all real numbers except , where n is any integer
Option A
B
all real numbers except , where n is any integer
Option B
C
all real numbers except , where n is any integer
Option C
D
all real numbers except , where n is any integer
Option D
9

Based on the sketch below, how far is Joey’s house from the park?

Question illustration
A
0.74 mi.
B
0.86 mi.
C
2.21 mi.
D
2.35 mi.
10

The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function , where m represents the number of months after January, models the temperature throughout the year in Beijing.During which month in the year would the temperature reach 55°F?

Question illustration
A
August
B
September
C
November
D
December
11

Heron’s formula: Area =

Question illustration
A
square units
Option A
B
square units
Option B
C
square units
Option C
D
square units
Option D
12

The bottom of a 12-foot ladder is placed on the ground 7 feet from the base of a pipe sticking out of the ground. The top of the ladder is placed an unknown distance off the ground, leaning on the pipe. The ladder and the ground meet at a 56.4° angle. At what angle does the pipe meet the ground?

A
35.7°
B
46.7°
C
55.7°
D
88.2°
13

Which point does the graph of the parent function pass through?

Question illustration
A
(StartFraction square root of 3 over 3 EndFraction ,StartFraction pi over 3 EndFraction)
Option A
B
(StartFraction pi over 3 EndFraction , StartFraction square root of 3 over 3 EndFraction )
Option B
C
(StartFraction pi over 3 EndFraction , square root of 3)
Option C
D
( square root of 3 , StartFraction pi over 3 EndFraction)
Option D
14

Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of the largest angle in the triangle?

A
52.8°
B
60.0°
C
63.6°
D
82.9°
15

Jamal draws triangle XYZ. If what is the approximate length of XY?

Question illustration
A
3.4 or 10.4
B
6.4 or 13.7
C
10.4
D
13.7

Did you find these answers helpful?

More from this Course

Quiz
16 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test