Solve the problem.Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 20 mph in a direction 340°. The second sails at 32 mph in a direction 200°. Assuming that both boats maintain speed and heading, after 5 hours, how far apart are the boats?

A. 245.2 mi
B. 177.9 mi
C. 161.1 mi
D. 193.4 mi


Answer: A

Mathematics

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Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xi + yj + zk ; D: the thick cylinder 2 ? x2 + y2 ? 4 , 

A. 224? B. 896? C. 448? D. 1344?

Mathematics

Solve. Round your answer to the nearest tenth, if necessary.The hypotenuse of a right triangle is 11 feet long. One leg of the triangle is 3 feet longer then the other leg. Find the perimeter of the triangle.

A. 6.1 feet B. 4.3 feet C. 26.3 feet D. 9.1 feet

Mathematics

Factor out the GCF from the polynomial.24x9y6 + 28x5y4 + 12x3y2

A. 4x3(6x6y6 + 7x2y4 + 3y2) B. x3y2(24x6y4 + 28x2y2 + 12) C. 4x3y2(6x6y4 + 7x2y2 + 3) D. 4(6x9y6 + 7x5y4 + 3x3y2)

Mathematics

Solve the problem.How much money must be put into a savings account now at 4% interest compounded semiannually so as to have $32,500 twelve years from now?[(1.02)12 ? 1.27, (1.02)24 ? 1.61, (1.04)12 ? 1.60, (1.06)24 ? 2.56]

Fill in the blank(s) with the appropriate word(s).

Mathematics