Solve the problem.To find the height of this tree, Luis marked the tree at eye level, 1.8 meters above the ground. He measured 25 m from the base of the tree and then held a 5-cm ruler vertically in front of his eye until the ruler just obscured the tree above the mark. Using a string tied through a hole in one end of the ruler, Luis found that the distance from his eye to the ruler was 5.3 centimeters. What was the height of the tree? Round to the nearest unit.

A. 24 m
B. 30 m
C. 20 m
D. 25 m


Answer: D

Mathematics

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Solve the problem.A long strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides at right angles to the base. If the trough is to have maximum capacity, how many inches should be turned up on each side?

A. 6 in. B. 3 in. C. 5 in. D. 4 in.

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Evaluate the integral. dx

A. 9 5/4 + C
B.  5/4 + C
C.  5/4 + C
D. - 6 -3/4 + C

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Solve the problem.Find the half-life of the radioactive element radium, assuming that its decay constant is  with time measured in years.

A. 1400 years B. 1600 years C. 800 years D. 2308 years

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Simplify the expression.- x +  + x - 5

A.
B.
C.
D.

Mathematics