Solve the problem.A child throws a ball with a speed of 5 feet per second at an angle of 54° with the horizontal. Express the vector described in terms of i and j. If exact values are not possible, round components to 3 decimals.

A. 4.045i + 2.939j
B. -2.939i + 4.045j
C. 4.045i - 2.939j
D. 2.939i + 4.045j


Answer: D

Mathematics

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Find the greatest common factor of the numbers in the group.48, 64, 112

A. 2 B. 32 C. 16 D. 8

Mathematics

Solve the problem.Suppose that y is directly proportional to x and that y = 25.2 when x = 7. Find the constant of proportionality k. Then, find y when x = 12.

A. k = 3.6; y = 43.2
B. k = 176.4; y = 
C. k = 3.6; y = 45.6
D. k = 3.8; y = 43.2

Mathematics

Subtract. Use borrowing, if necessary.

A. 5118 B. 118 C. 5006 D. 5106

Mathematics

Evaluate the sum.

A. 40 B. 30 C. 15 D. 20

Mathematics