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31. A painter needs to find the area of the gable end of a house. What is the area of the gable if it is a triangle with two sides of 42 ft. that meet a 105° angle? a. 900 sq. ft. b. 852 sq. ft. c. 952 sq.ft d. 800 sq.ft. 32. A long rectangular sheet of metal, 12 cm wide is to be made a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many centimeters should be turned up to give the gutter it greatest

31. A painter needs to find the area of the gable end of a house. What is the area of the gable if it is a triangle with two sides of 42 ft. that meet a 105° angle? a. 900 sq. ft. b. 852 sq. ft. c. 952 sq.ft d. 800 sq.ft. 32. A long rectangular sheet of metal, 12 cm wide is to be made a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many centimeters should be turned up to give the gutter it greatest

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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31. A painter needs to find the area of the gable end of a house. What is the area of the gable if it is a triangle with two sides of 42 ft. that meet a 105° angle? a. 900 sq. ft. b. 852 sq. ft. 32. A long rectangular sheet of metal, 12 cm wide is to be made a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many centimeters should be turned up to give the gutter it greatest capacity? a. 2.5 b. 3 33. find y' if x=2arccos2t and y=4arcsin 2t. a. 1 b. 2 c. 952 sq.ft d. 800 sq.ft. a. 110 kph b. 100 kph c. 2 d. 4 34. A lot has a frontage of 120 m long a road. The other sides which are both perpendicular to the road are 90m and 60m respectively. It is desired to subdivide the lot into two parts by another perpendicular line to the road such that the area of the lot that adjoins the 90m, side is equal to % of the whole area. Determine the length of the dividing line. a. 68.53m b. 83.52m c.-2 d. -1 a. 1 b. 0.5 35. A ford raptor drives east from point A at 60kph. Ford explorer, starting from B at the same time, drives $30"W toward A at 80kph. B is 60 km from A. How fast in kph is the distance between two cars changing after 45 minutes? c. 79.36m d. 93.58m c. 80kph d. 95kph 36. A cylindrical tank radius 10 feet is being filled with water at the rate of 314 cu. Feet per minute. How fast is the depth of the water increasing in feet per minute? c.0.25 d. 1.5 37. Albert can walk 4km with the same time as Bernard can walk 5km. Albert takes 3 minutes more than it takes Bernard to walk a kilometer. What is the rate of Albert in kph? a. 3 b. 6 c. 4 d. 5 38. Workers at the Zoo must move a giant tortoise to his new home. Find the amount of force required to pull a 120 kg tortoise up a ramp leading into a truck. The angle of elevation of the ramp is 30 degrees. c. 10 kg a. 75 kg b.47 kg d. 60 kg 39. During the baseball practice, a batter hits a very high fly bail and runs in a straight line in catches it. Which has the greater displacement, the player or the ball? a. The ball and the player have the same distance travelled. b. The displacement of the player is greater than the displacement of the ball. c. The player and the ball have the same displacement. d. The ball has a greater displacement travelled compared to the player. 40. A ball on the end of a string is revolved at a uniform rate in a vertical circle of a radius 75.0cm. If its speed is 4.50 m/s and its 0.40kg, calculate the tension in the string when the ball is at the top of its path. a. 10.24 N, upward c. 6.88 N, upward b. 10.24 N, downward d. 6.88 N, downward
Transcribed Image Text:31. A painter needs to find the area of the gable end of a house. What is the area of the gable if it is a triangle with two sides of 42 ft. that meet a 105° angle? a. 900 sq. ft. b. 852 sq. ft. 32. A long rectangular sheet of metal, 12 cm wide is to be made a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many centimeters should be turned up to give the gutter it greatest capacity? a. 2.5 b. 3 33. find y' if x=2arccos2t and y=4arcsin 2t. a. 1 b. 2 c. 952 sq.ft d. 800 sq.ft. a. 110 kph b. 100 kph c. 2 d. 4 34. A lot has a frontage of 120 m long a road. The other sides which are both perpendicular to the road are 90m and 60m respectively. It is desired to subdivide the lot into two parts by another perpendicular line to the road such that the area of the lot that adjoins the 90m, side is equal to % of the whole area. Determine the length of the dividing line. a. 68.53m b. 83.52m c.-2 d. -1 a. 1 b. 0.5 35. A ford raptor drives east from point A at 60kph. Ford explorer, starting from B at the same time, drives $30"W toward A at 80kph. B is 60 km from A. How fast in kph is the distance between two cars changing after 45 minutes? c. 79.36m d. 93.58m c. 80kph d. 95kph 36. A cylindrical tank radius 10 feet is being filled with water at the rate of 314 cu. Feet per minute. How fast is the depth of the water increasing in feet per minute? c.0.25 d. 1.5 37. Albert can walk 4km with the same time as Bernard can walk 5km. Albert takes 3 minutes more than it takes Bernard to walk a kilometer. What is the rate of Albert in kph? a. 3 b. 6 c. 4 d. 5 38. Workers at the Zoo must move a giant tortoise to his new home. Find the amount of force required to pull a 120 kg tortoise up a ramp leading into a truck. The angle of elevation of the ramp is 30 degrees. c. 10 kg a. 75 kg b.47 kg d. 60 kg 39. During the baseball practice, a batter hits a very high fly bail and runs in a straight line in catches it. Which has the greater displacement, the player or the ball? a. The ball and the player have the same distance travelled. b. The displacement of the player is greater than the displacement of the ball. c. The player and the ball have the same displacement. d. The ball has a greater displacement travelled compared to the player. 40. A ball on the end of a string is revolved at a uniform rate in a vertical circle of a radius 75.0cm. If its speed is 4.50 m/s and its 0.40kg, calculate the tension in the string when the ball is at the top of its path. a. 10.24 N, upward c. 6.88 N, upward b. 10.24 N, downward d. 6.88 N, downward
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