Exam 7: Triangles

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

(Short Answer)
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Find the dot product. Find the dot product.   __________ __________

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

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

(Multiple Choice)
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Refer to triangle ABC . If Refer to triangle ABC . If   cm,   cm, and   cm, find the largest angle. Apply the rules regarding the use of significant digits after all computations are complete. __________° cm, Refer to triangle ABC . If   cm,   cm, and   cm, find the largest angle. Apply the rules regarding the use of significant digits after all computations are complete. __________° cm, and Refer to triangle ABC . If   cm,   cm, and   cm, find the largest angle. Apply the rules regarding the use of significant digits after all computations are complete. __________° cm, find the largest angle. Apply the rules regarding the use of significant digits after all computations are complete. __________°

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A ship is headed due north at a constant 15 miles per hour. Because of the ocean current, the true course of the ship is 12°. If the currents are a constant 12 miles per hour, in what direction are the currents running? Apply the rules regarding the use of significant digits after all computations are complete. ​

(Multiple Choice)
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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.  S = __________ inches<sup>2</sup> ​ Round to three significant digits. S = __________ inches2

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Referring to triangle ABC, find the area of the triangle. a = 4.9 yd, b = 6.5 yd, c = 7.8 yd Round to three significant digits. S = __________ yd2

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Two planes leave an airport at the same time. Their speeds are 140 miles per hour and 150 miles per hour, and the angle between their courses is 38°. How far apart are they after 1.5 hours?​ Apply the rules regarding the use of significant digits after all computations are complete.

(Multiple Choice)
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Consider the triangle described below. Consider the triangle described below.    inches,    inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.   __________°     __________°     __________ inches  inches, Consider the triangle described below.    inches,    inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.   __________°     __________°     __________ inches  inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete. Consider the triangle described below.    inches,    inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.   __________°     __________°     __________ inches __________°   Consider the triangle described below.    inches,    inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.   __________°     __________°     __________ inches __________°   Consider the triangle described below.    inches,    inches How many different possible triangles are there? __________ ( no solution / two solutions / one solution )Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.   __________°     __________°     __________ inches __________ inches

(Short Answer)
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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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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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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. S = __________ cm<sup>2</sup> ​ Round to three significant digits. S = __________ cm2

(Short Answer)
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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 your answer to three significant digits. c = __________ cm Round your answer to three significant digits. c = __________ cm

(Short Answer)
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Referring to triangle ABC, find the area of the triangle. a = 4.35 ft, b = 3.71 ft, c = 5.23 ft​ Round to three significant digits. S = __________ ft2

(Short Answer)
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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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Vector W  is in standard position, and makes an angle of Vector W  is in standard position, and makes an angle of    with the positive x -axis. Its magnitude is 7. Write W  in component form    and in vector component form   . Please round your answers to two significant digits. ​  with the positive x -axis. Its magnitude is 7. Write W  in component form Vector W  is in standard position, and makes an angle of    with the positive x -axis. Its magnitude is 7. Write W  in component form    and in vector component form   . Please round your answers to two significant digits. ​  and in vector component form Vector W  is in standard position, and makes an angle of    with the positive x -axis. Its magnitude is 7. Write W  in component form    and in vector component form   . Please round your answers to two significant digits. ​ . Please round your answers to two significant digits. ​

(Multiple Choice)
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The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. ​ If The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. ​ If    and    find y . Apply the rules regarding the use of significant digits after all computations are complete.   ​  and The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. ​ If    and    find y . Apply the rules regarding the use of significant digits after all computations are complete.   ​  find y . Apply the rules regarding the use of significant digits after all computations are complete. The circle in the figure below has a radius of r and center at C . The distance from A to B is x , the distance from A to D is y , and the length of arc BD is s . For the following problem, redraw the figure, label it with the values given, and then solve. ​ If    and    find y . Apply the rules regarding the use of significant digits after all computations are complete.   ​

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