Solve the problem.The 10 ft wall shown here stands 33 feet from the building. Find the length of the shortest straight beam that will reach to the side of the building from the ground outside the wall.

A. 56.7
B. 58.7
C. 43
D. 57.7


Answer: D

Mathematics

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Solve the problem.Calculate the current bond yield for a bond that has a current bond price of 98.194% and a stated interest rate of 6.305%. Round to three decimal places.

A. 155.740% B. 6.421% C. 0.642% D. 1557.399%

Mathematics

Solve the system.5w - 3y + z = 16-w + 5x + y - 5z = 125w - x + + 3z = 17  x - 5y - z = -12

A. (5, 0, -3, 0) B. (1, -2, -7, -5) C. (6, -2, 3, -5) D. (-2, 6, 5, -6)

Mathematics

Simplify. Assume variables represent nonnegative values.

A. 2a2b
B. 2ab
C. 2ab
D. 2

Mathematics

Solve the problem.Suppose an animal feed to be mixed from soybean meal and oats must contain at least 100 lb of protein, 20 lb of fat, and 12 lb of mineral ash. Each 100-lb sack of soybean meal costs $20 and contains 50 lb of protein, 10 lb of fat, and 8 lb of mineral ash. Each 100-lb sack of alfalfa costs $11 and contains 30 lb of protein, 8 lb of fat, and 3 lb of mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?

A. 2 sacks of soybeans and 0 sacks of alfalfa
B.  sack of soybeans and  sack of alfalfa
C.  sacks of soybeans and  sacks of alfalfa
D. 0 sacks of soybeans and 2 sacks of alfalfa

Mathematics