Exam 9: The Nature of Networks and Graph Theory

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The prefix centi- means __________ (one-hundredth, one thousand, one-thousandth).

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

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11 L is the measure of __________ (capacity, distance, weight, temperature).

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Find the distance around the figure below by using the appropriate formula. ​ Find the distance around the figure below by using the appropriate formula. ​   ​ Where   ​ __________cm ​ Where Find the distance around the figure below by using the appropriate formula. ​   ​ Where   ​ __________cm ​ __________cm

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Water boils at __________ °C.

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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 10 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. Please, round your answer to the nearest ft. ​ 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 10 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. Please, round your answer to the nearest ft. ​   ​ __________ ft ​ __________ ft

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Find the volume of the solid correct to the nearest unit.​ ​a​ = 12​, ​b​ = 5, ​c​ = 13, ​h​ = 4. ​ Find the volume of the solid correct to the nearest unit.​ ​a​ = 12​, ​b​ = 5, ​c​ = 13, ​h​ = 4. ​   ​ __________ in<sup>3</sup> ​ __________ in3

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Find the surface area of the solid correct to the nearest square unit. (Note that the container does not have top.) ​ ​​r​ = 2.8​, ​h​ = 4.4. ​ Find the surface area of the solid correct to the nearest square unit. (Note that the container does not have top.) ​ ​​r​ = 2.8​, ​h​ = 4.4. ​   ​

(Multiple Choice)
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Find the outside surface area, when ​a = ​2, b = 6, c = 2. ​ ​ Find the outside surface area, when ​a = ​2, b = 6, c = 2. ​ ​   ​

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Find the volume of each by counting the number of cubic centimeters in each box. ​ Find the volume of each by counting the number of cubic centimeters in each box. ​   ​

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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​ = 1, ​b​ = 4, ​c​ = 1. ​ Find the outside surface area, when ​a​ = 1, ​b​ = 4, ​c​ = 1. ​   ​ __________ m<sup>2</sup> ​ __________ m2

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Find the surface area of the solid correct to the nearest square unit. (Note that the container does not have top.) ​r​ = 1.4​, ​h​ = 5.7. ​ Find the surface area of the solid correct to the nearest square unit. (Note that the container does not have top.) ​r​ = 1.4​, ​h​ = 5.7. ​   ​ __________ cm<sup>2</sup> ​ __________ cm2

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Find the volume of the solid correct to the nearest unit. ​​a​ = 5, ​b​ = 6, ​h​ = 6. ​ Find the volume of the solid correct to the nearest unit. ​​a​ = 5, ​b​ = 6, ​h​ = 6. ​   ​ __________ cm<sup>3</sup> ​ __________ cm3

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Find the volume of the solid correct to the nearest unit. ​ ​a​ = 4​, b​ = 15, ​c​ = 15.524175, ​h​ = 6. ​ Find the volume of the solid correct to the nearest unit. ​ ​a​ = 4​, b​ = 15, ​c​ = 15.524175, ​h​ = 6. ​   ​

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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.) ​   ​   ​ __________ in.<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.) ​   ​   ​ __________ in.<sup>2</sup> ​ __________ in.2

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