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In right triangle BCD, BD=12 m<c=90 and m<DBC=47. Find DC to the nearest tenth.
a motorboat travels 332 in 4 hoursgoing upstream 555 and in 5 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
A rectangular field has an area of exactly 1 square mile. if the field has a length of 250 yards and 3 inches, what is the width of the field? Give your answer in feet and inches, and round to the nearest inch. What is the perimeter of this field?
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
Find the solutions of the exponential equation
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
evaluate approximately the ratio of the mass of the sun to that of the earth. lunar month 27.3 days, mean radii of the earth's orbit 149000000 km and that of moon's orbit 380000 km.
Descriptive statistics
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Important information about Find the probabilities, Suppose a family plans 6 children, and the probability that a particular child is a girl is ½.
Town A is due south of town B, and their latitudes are 50 degrees N and 32 degrees N, respectively. Use 4000 miles as the radius of the earth and find the distance between the two cities, rounded to the nearest 10 miles.
a pool measuring 8 meters by 30 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 792 square meters, what is the width of the path.
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
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