Cumulative Exam — Cumulative exam Answers

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1
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An angle whose measure is 92° is in standard position. In which quadrant does the terminal side of the angle fall?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
2
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What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

A
2 units
B
4 units
C
8 units
D
16 units
3

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A
90
B
110
C
130
D
180
4

Which measure is of an angle that is coterminal with a 425° angle?

A
425° – (1,000n)°, for any integer n
B
425° – (840n)°, for any integer n
C
425° + (960n)°, for any integer n
D
425° + (1,440n)°, for any integer n
5

Find the exact value of .a.c.b.d.

Question illustration
A
A
B
B
C
C
D
D
6

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

Question illustration
A
3:00 a.m.
B
5:00 a.m.
C
3:00 p.m.
D
5:00 p.m.
7

For which value of is csc () undefined?

Question illustration
A
0
B
StartFraction pi Over 2 EndFraction
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
StartFraction 7 pi Over 2 EndFraction
Option D
8

Which of the following matrices does not have an inverse?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
9

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.Trigonometric area formula: Area =

Question illustration
A
16 square centimeters
B
30 square centimeters
C
56 square centimeters
D
60 square centimeters
10

Which is the equation for the graph of the limacon curve below? [-5,5] by [-5,5]a.r = 3 - 2 sinc.r = 2 - 2 sinb.r = 2 - 3 sind.r = 4 - sin

Question illustration
A
A
B
B
C
C
D
D
11

What is the value of ?a.2c.b.d.

Question illustration
A
A
B
B
C
C
D
D
13

Using Cramer’s Rule, what is the value of y in the solution to the system of linear equations below?

Question illustration
A
-3
B
mc020-2.jpg
Option B
C
1
D
3
14

Which is the graph of ? a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
15

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

Question illustration
A
10
B
12
C
13
D
14
16

A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Solution Components Solution ASolution BSolution CVinegar0.10.20.4Lemon Juice0.150.20.1Water0.750.60.5Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?

A
0 mL
B
10 mL
C
30 mL
D
50 mL
17

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square yards in the park.Trigonometric area formula: Area =

Question illustration
A
95 yards
B
107 yards
C
160 yards
D
190 yards
18

Myra uses an inverse variation function to model the data for the ordered pairs below.(2, 30), (3, 20), (4, 15), (5, 12), (6, 10)Which statement best explains whether an inverse variation function is the best model for the data?

A
An inverse function is the best model because as x increases, y decreases.
B
An inverse function is the best model because the products of corresponding x- and y-values are equal.
C
An inverse variation function is not the best model because data points approximate a straight line.
D
An inverse variation function is not the best model because the data points show an exponential decay.
19

Express the complex number 8(cos30 + i sin30) in standard a + bi form. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
20

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

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