Exam 9: The Nature of Networks and Graph Theory

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Find the capacity of the container, when ​a​ = 20, ​b​ = 25, ​c​ = 30. Give your answer to one decimal place, if required. ​ Find the capacity of the container, when ​a​ = 20, ​b​ = 25, ​c​ = 30. Give your answer to one decimal place, if required. ​   ​ __________ L ​ __________ L

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Find the circumference, if Find the circumference, if   . Round approximate answer to two decimal places. ​   ​ __________m . Round approximate answer to two decimal places. ​ Find the circumference, if   . Round approximate answer to two decimal places. ​   ​ __________m ​ __________m

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Make the indicated conversions. ​ 1 mm ​

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Find the perimeter by using the appropriate formula, if Find the perimeter by using the appropriate formula, if   and   . ​   ​ and Find the perimeter by using the appropriate formula, if   and   . ​   ​ . ​ Find the perimeter by using the appropriate formula, if   and   . ​   ​

(Multiple Choice)
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Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit, if required.) ​ Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit, if required.) ​   ,     ​ __________ ft<sup>2</sup> , Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit, if required.) ​   ,     ​ __________ ft<sup>2</sup> Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit, if required.) ​   ,     ​ __________ ft<sup>2</sup> ​ __________ ft2

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Find the outside surface area, when ​a​ = 6, h​ = 7. ​ ​ Find the outside surface area, when ​a​ = 6, h​ = 7. ​ ​   ​

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Find the distance around the figure below by using the appropriate formula, if Find the distance around the figure below by using the appropriate formula, if   ,   . Round approximate answer to two decimal places. ​   ​ , Find the distance around the figure below by using the appropriate formula, if   ,   . Round approximate answer to two decimal places. ​   ​ . Round approximate answer to two decimal places. ​ Find the distance around the figure below by using the appropriate formula, if   ,   . Round approximate answer to two decimal places. ​   ​

(Multiple Choice)
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Suppose that we fit a band tightly around the earth at the equator. We wish to raise the band so that it is uniformly supported 7 ft above the earth at the equator. How much extra length would have to be added to the band (not the supports) to do this. ​ Suppose that we fit a band tightly around the earth at the equator. We wish to raise the band so that it is uniformly supported 7 ft above the earth at the equator. How much extra length would have to be added to the band (not the supports) to do this. ​   ​

(Multiple Choice)
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Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​ Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​   ,   ​  , Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​   ,   ​  Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​   ,   ​

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Find the distance around the figure below by using the appropriate formula. Round your answer to two decimal places. ​ Find the distance around the figure below by using the appropriate formula. Round your answer to two decimal places. ​   ​ Where   ​ __________cm ​ Where Find the distance around the figure below by using the appropriate formula. Round your answer to two decimal places. ​   ​ Where   ​ __________cm ​ __________cm

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Pick the best choice by estimating. Do not measure. For metric measurements, do not attempt to convert to the U.S. system. ​ The area of the floor space of the Superdome in New Orleans is __________.

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Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.)   ​   ​ __________ dm<sup>2</sup>Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.)   ​   ​ __________ dm<sup>2</sup> ​ __________ dm2

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Find the volume of the refrigerator, when ​a​ = 37, ​b​ = 34, ​c​ = 68. Round your answer to the nearest thousandth. ​ ​ Find the volume of the refrigerator, when ​a​ = 37, ​b​ = 34, ​c​ = 68. Round your answer to the nearest thousandth. ​ ​   ​

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Water boils at what temperature? ​

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Find the distance around the figure below by using the appropriate formula, if Find the distance around the figure below by using the appropriate formula, if   . Round approximate answers to two decimal places. ​   ​ . Round approximate answers to two decimal places. ​ Find the distance around the figure below by using the appropriate formula, if   . Round approximate answers to two decimal places. ​   ​

(Multiple Choice)
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If the radius of a sphere is multiplied by two, what effect does that have on the surface area? ​ The effect is __________-fold __________ (increase, decrease).

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Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​ Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​     ​ Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) ​     ​

(Multiple Choice)
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The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​ The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​  The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​  The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​  The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​  The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​  The perimeter of this pentagon is 280 in. Find the lengths of the sides. ​   ​   ​   ​   ​   ​

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Find the volume of the solid below, when ​a​ = 5, ​b​ = 20, ​c​ = 1. ​ Find the volume of the solid below, when ​a​ = 5, ​b​ = 20, ​c​ = 1. ​   ​ __________ mm<sup>3</sup> ​ __________ mm3

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Find the volume of the solid below, when ​a​ = 10, ​b​ = 20, ​​c​ = 2. ​ Find the volume of the solid below, when ​a​ = 10, ​b​ = 20, ​​c​ = 2. ​   ​

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