'08 TMSCA #3

[nsguy1350]

Help please :D. Tell me if you think I made a critical typo.

17. A golfer wants to sink a 13-ft putt into a hole that is 5 inches in diameter. What is the angle of the sector in which the ball must travel? [1.84 deg]

26. If a hemisphere-shaped rock of radius 4 in weighs 16 lb on Earth, what is the estimate for the mass of the moon, assuming the same density? Take the moon's radius to be 1740 km. [7.29 x 10^22 kg]

27. Alex drove at 67 mph. Bill drove at 55 mph and took 19 minutes longer to make the same trip. How far did each person drive? [97.2 mi]

37. A roll of Scotch Tape has a diameter of 2.9 inches when new and 1.4 inches when used up. What is the diameter when it is half used up? [2.28 in]

38. A faucet drips into a bucket at a rate that would fill the bucket in 10 hr 23 min 47 sec if there were no evaporation. If the bucket were completely filler, it would empty by evaporation in 27 hr 19 min 8 sec. Find the time required for the drip to fill the bucket with evaporation. Assume constant rates. [16.783 (5SD)]

57. A cylinder is inscribed in a sphere of radius 6 in. What is the height of the cylinder of maximum volume? [6.93 in]

58. Find the area of the triangle with vertices at (1,2), (3,7), and (8,5). [14.5][I tried to use the slow Heron's formula, but got it wrong. How would you do this with matrices?]

66. Two tennis balls trown with an initial velocity of 53 mph are caught 104 ft away. One was lobbed high in the air and one was "clothes-lined" to the catcher at a ow angle. What is the positive difference in the maximum vertical height of the two balls? [78.2ft]

Also, whoever can find the test and the geom problems, please help with 39,40,49,50,69,70. Thanks!

[88bobcat]

[88bobcat]

[88bobcat]

[88bobcat]

[darksaber21]

[darksaber21]

[darksaber21]

[007math]