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Exam 7: Triangles

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Exam 1: The Six Trigonometric Functions158 Questionsadd course
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Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​ Work = __________ ft-lb ​ Work = __________ ft-lb

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Question 81

Find all solutions to the triangle described below. Find all solutions to the triangle described below.  ft,  ft ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​  ft, Find all solutions to the triangle described below.  ft,  ft ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​  ft ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. ​

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Question 82

Find the value of a  so that vectors Find the value of a  so that vectors  and  are perpendicular. __________  and Find the value of a  so that vectors  and  are perpendicular. __________  are perpendicular. Find the value of a  so that vectors  and  are perpendicular. __________ __________

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Question 83
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Find all solutions to the triangle described below. Find all solutions to the triangle described below.  ft,  ft Round each angle and length to the appropriate number of significant digits after all computations are complete. ​  ft, Find all solutions to the triangle described below.  ft,  ft Round each angle and length to the appropriate number of significant digits after all computations are complete. ​  ft Round each angle and length to the appropriate number of significant digits after all computations are complete. ​

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Question 84

Draw the vector V  that goes from the origin to the given point. Then write V  in component form Draw the vector V  that goes from the origin to the given point. Then write V  in component form ​ ​ ​ Draw the vector V  that goes from the origin to the given point. Then write V  in component form ​ ​ ​

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Question 85

Refer to triangle ABC . If Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ m m, Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ m m, and Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ m , find b . Apply the rules regarding the use of significant digits after all computations are complete. Refer to triangle ABC . If m, m, and , find b . Apply the rules regarding the use of significant digits after all computations are complete. __________ m __________ m

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Question 86

For the pair of vectors, find For the pair of vectors, find . ​ __________ . For the pair of vectors, find . ​ __________ ​ For the pair of vectors, find . ​ __________ __________

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Question 87

Find the magnitude of the vector. Find the magnitude of the vector. ​ ​

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Question 88

For the pair of vectors, find For the pair of vectors, find ​ ​ __________ ​ For the pair of vectors, find ​ ​ __________ ​ For the pair of vectors, find ​ ​ __________ __________

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Question 89

Draw the vector V  that goes from the origin to the given point. Then write V  in terms of the unit vectors i  and j . Draw the vector V  that goes from the origin to the given point. Then write V  in terms of the unit vectors i  and j .   ​   ​

(Multiple Choice)
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Question 90

Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. Find the work performed when the given force F is applied to an object, whose resulting motion is represented by the displacement vector d. Assume the force is in pounds and the displacement is measured in feet. ​ ​

(Multiple Choice)
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Question 91

​For the pair of vectors, find  ​For the pair of vectors, find  .   ​ . ​For the pair of vectors, find  .   ​   ​

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Question 92

Referring to triangle ABC, find the area of the triangle. Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits. ? Round to three significant digits.

(Multiple Choice)
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Question 93

The information below refers to triangle ABC . The information below refers to triangle ABC .  inches. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete. ​  inches. Find all the missing parts. Apply the rules regarding the use of significant digits after all computations are complete. ​

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Question 94

​Find the magnitude of the vector and the angle  ​Find the magnitude of the vector and the angle  ,  , that the vector makes with the positive  x -axis. ​ ​ ​ ,  ​Find the magnitude of the vector and the angle  ,  , that the vector makes with the positive  x -axis. ​ ​ ​ , that the vector makes with the positive  x -axis. ​ ​Find the magnitude of the vector and the angle  ,  , that the vector makes with the positive  x -axis. ​ ​ ​ ​ ​ ​Find the magnitude of the vector and the angle  ,  , that the vector makes with the positive  x -axis. ​ ​ ​

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Question 95

Find the angle θ  between the given vectors to the nearest tenth of a degree. Find the angle θ  between the given vectors to the nearest tenth of a degree. ​ __________° ​ Find the angle θ  between the given vectors to the nearest tenth of a degree. ​ __________° __________°

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Question 96

The problem that follows refers to triangle ABC . ​ If The problem that follows refers to triangle ABC . ​ If  and  inches, find c Apply the rules regarding the use of significant digits after all computations are complete. ​  and The problem that follows refers to triangle ABC . ​ If  and  inches, find c Apply the rules regarding the use of significant digits after all computations are complete. ​  inches, find c Apply the rules regarding the use of significant digits after all computations are complete. ​

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Question 97

Referring to triangle ABC, find the area of the triangle. Referring to triangle ABC, find the area of the triangle. ? Round to three significant digits. ? Round to three significant digits.

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Question 98

Referring to triangle ABC, find the area of the triangle. Referring to triangle ABC, find the area of the triangle. ? Round your answer to three significant digits. ? Round your answer to three significant digits.

(Multiple Choice)
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Question 99

The area of a triangle is 45 cm2. Find the length of the side included between the angles  The area of a triangle is 45 cm<sup>2</sup>. Find the length of the side included between the angles  Round to three significant digits. Round to three significant digits.

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Question 100
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