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detailed answers only 20 question sophmore class of high school
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1. |
A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Explain.
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2. |
A highway makes an angle of 6 To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.
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A forest ranger spots a fire from a 28-foot tower. The angle of depression from the tower to the fire is 11 To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.
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State whether the transformation appears to be a rigid motion. Explain.
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Are the figures below similar? How do you know?
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SHAPE \* MERGEFORMAT
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Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.
Consider the prism shown below.
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a. b.
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8. |
Janine made a cylindrical vase in which the sum of the lateral area and area of one base was about 3000 square centimeters. The vase had a height of 50 centimeters. Find the radius of the vase. Explain the method you would use to find the radius.
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9. |
A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cm
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In circle O,
and
are tangents. (The figure is not drawn to scale.)
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a. b.
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Determine whether a tangent line to circle O is shown in the diagram, for AB = 7.75, OB = 4, and AO = 8.75. Explain your reasoning. (The figure is not drawn to scale.)
In circle O, CD = 44, OM = 20, ON = 19,
,
(The figure is not drawn to scale.)
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a. b. c.
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is tangent to the circle at B. m
A = 14 and
(The figure is not drawn to scale.)
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a. b.
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14. |
At a track meet, 50 people ran the 100-meter dash. 2 people finished in 11 seconds, 5 people finished in 12 seconds, 8 people finished in 13 seconds, 10 people finished in 14 seconds, 21 people finished in 15 seconds, 2 people finished in 16 seconds, and 2 people finished in 17 seconds. What is the probability distribution for the finish times?
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For the vectors, write the resultant as an ordered pair.
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15. |
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16. |
Determine whether a tangent line is shown in the diagram, for AB = 7, OB = 3.75, and AO = 8. Explain your reasoning. (The figure is not drawn to scale.)
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18. |
The equation (x + 5)
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The Montgomery Park officials plan to construct a concession stand beside an access road. They will also construct asphalt pathways from the volleyball court and the tennis court to the concession stand. Describe how to determine where the concession stand should be to minimize the amount of asphalt needed. Include a diagram.
The regular polygon has radius 9 m. Find each angle measure to the nearest tenth of a degree, each linear measure to the nearest tenth of a meter, and the square measure to the nearest square meter.
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a. b. c. d. e. f.
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