Solve the problem.Find the length of the unknown side of the right triangle, where a and b are the legs and c is the hypotenuse. a = 6, b = ?, c = 10

A. b = 10
B. b = 8
C. b = 7
D. b = 9


Answer: B

Mathematics

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Evaluate the integral using the given substitution. dy , u = y6 + 2y3 + 6

A. (y6 + 2y3 + 6)4 + C
B. (y6 + 2y3 + 6)4 + C
C. 18(y6 + 2y3 + 6)2 + C
D. (y6 + 2y3 + 6)4(10y4 + 4y) + C

Mathematics

Solve.A ball is thrown upward with an initial velocity of 14 meters per second from a cliff that is  high. The height of the ball is given by the quadratic equation  where h is in meters and t is the time in seconds since the ball was thrown. Find the time it takes the ball to hit the ground. Round your answer to the nearest tenth of a second.

A. 4.7 sec B. 5.1 sec C. 4.9 sec D. 6.9 sec

Mathematics

Find a bound on the error in approximating the given definite integral using (a) the trapezoidal rule and (b) Simpson's rule with n intervals. ? ?

A.
B. ?
C. ?
D. ?

Mathematics

Find fractional notation for the ratio. You need not simplify.At an advertising agency that employs 282 people, 79 employees receive 3 weeks of paid vacation each year. Find the ratio of those who receive 3 weeks of paid vacation to those whose paid vacation is not 3 weeks.

A.
B.
C.
D.

Mathematics