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A 260 pound weight is supported by two ropes, one forming a 40 degree angle with the ceiling and the other a 50 degree angle. Find the tension in each rope.
A car left Shawnee at the same time traveling due east at 60 miles per hour. How much time will pass before the train and car are 405 miles apart?
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
Chandra has twice as much money as Nora. Nora has $6 less than Lian. Together they have $54. how much money does each have?
Find the velocity of the top of the ladder at time t=2.
a carpenter used 30 ft of trim to finish 3 sides of the opening for a garage door. If the side paralle to the ground is 9 ft longer than either of the other two sides, then what are the dimensions of the doorway?
eighty percent of drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts?
Find the point on the line y = 3x + 3 that is closest to the origin. (Give your answers correct to three decimal places.)
The bearings of two points on the shore from a boat are 115 degrees and 123 degrees. Assume the two points are 855 feet apart. How far is the boat from the nearest point on shore if the shore is straight and runs north-south?
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
a ladder 13 feet long is leaning against the side of a building.if the foot of the ladder is pulled away from the building at the rate of 0.1foot per second how fast the angle formed by the ladder and the ground changing at the instant ,solution.
A ball is dropped from a cliff that is 352 feet high. The distance S (in feet) that it falls in t seconds is given by the formula How many seconds (to tenths) will it take for the ball to hit the ground?
On the other hand, give an example of a metric space in which every Cauchy sequence converges; and then prove this metric space is Cauchy sequence and also converges.
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