General Principles - General Questions

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General Principles - General Questions

1. 

1-5c

Using the basic trigonomic functions, determine the length of side AB of the right triangle.
A. h = 10
B. h = 7.07
C. h = 14.14
D. h = 5

Answer: Option A

Explanation:

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2. 

Solve the following equation for the two roots of x:   — x2 + 5x = — 6
A. x = 2, 3
B. x = –1, –5
C. x = –1, 6
D. x = –0.742, 6.74

Answer: Option C

Explanation:

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3. 

1-3a1-3b1-3cDetermine the angle theta
A. theta= 30°
B. theta= 40°
C. theta= 60°
D. theta= 50°

Answer: Option D

Explanation:

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4. 

1-4a1-4bDetermine the length of side AB if right angle ABC is similar to right angle A'B'C':
A. AB = 5.42
B. AB = 3
C. AB = 5
D. AB = 4

Answer: Option C

Explanation:

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5. 

1-6

Determine the angles theta and phiand the length of side AB of the triangle. Note that there are two possible answers to this question and we have provided only one of them as an answer.

 
A. phi= 46.7°,theta= 93.3° d = 9.22
B. phi= 50.0°,theta= 90.0° d = 9.14
C. phi= 40.0°,theta= 100.0° d = 9.22
D. phi= 48.6°,theta= 91.4°, d = 9.33

Answer: Option D

Explanation:

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6. 

1-5a

Using the basic trigonomic functions, determine the length of side AB of the right triangle.
A. h = 5.77
B. h = 11.55
C. h = 5
D. h = 8.66

Answer: Option C

Explanation:

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7. 

Solve the following equation for x, y, and z:

x – y + z = –1   –x + y + z = –1   x + 2y – 2z = 5
A. x = 1, y = 1, z = –1
B. x = 5/3, y = 7/6, z = –1/2
C. x = –2/3, y = –2/3, z = –1
D. x = –1, y = 1, z = 1

Answer: Option A

Explanation:

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8. 

1-3a

1-3b

1-3c

Determine the angle theta
A. theta= 30°
B. theta= 40°
C. theta= 60°
D. theta= 50°

Answer: Option D

Explanation:

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