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Algebra and Trigonometry

Mathematics

Quiz 7 :

Additional Topics in Trigonometry

Quiz 7 :

Additional Topics in Trigonometry

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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places.
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E

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In the figure below, img , img , and img . Use this information to solve the parallelogram for . The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. img
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C

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Find the magnitude of vector v. img img
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B

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Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.] img img
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Given img and img , determine img .
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.
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A straight road makes an angle, A, of img with the horizontal. When the angle of elevation, B, of the sun is img , a vertical pole beside the road casts a shadow 8 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places. img
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of B. Round answer to two decimal places.
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Given img , img , and img , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.
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In the figure below, img , img , and img . Use this information to solve the parallelogram for b. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. img
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of A. Round answer to two decimal places. img
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Determine the area of a triangle having the following measurements. Round your answer to two decimal places. img
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places. img
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of a. Round answer to two decimal places. img
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Given img , use the Law of Sines to solve the triangle (if possible) for the value of c. If two solutions exist, find both. Round answer to two decimal places.
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Given img , img , and img , use the Law of Cosines to solve the triangle for the value of c. Round answer to two decimal places.
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Determine the area of a triangle having the following measurements. Round your answer to two decimal places. img
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Given img and img , determine img .
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In the figure below, img , img , and img . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places. img
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Find the magnitude of vector v with initial point img and terminal point img .
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