Solve the problem.A square fence 7 feet high enclosing a radio tower is 3 feet from the tower on all 4 sides. Guy wires used to hold the tower in position are attached to the tower 31 feet above the ground and 20 feet from the fence on all 4 sides. How long are the guy wires to the nearest foot?

A. 37 feet
B. 35 feet
C. 39 feet
D. 21 feet


Answer: C

Mathematics

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Find the coordinates of the vertex of the graph of the equation. If necessary, complete the square on x to write the equation in the form y = a(x - h)2 + k. Do not graph the equation.y = -4(x - 3)2 

A. (0, -4) B. (5, 0) C. (-4, 0) D. (0, 3) E. (3, 0)

Mathematics

Solve the problem.Brand A soup contains 854 milligrams of sodium. It is recommended that a person requiring 2000 calories daily consume 2500 mg of sodium or less per day. Graph the function, f, that computes the number of mg of sodium in x cans of soup together with y1 = 2500, y2 = 5000, y3 = 7500 in [0, 10, 1] by [0, 8000, 1000]. Use the intersection-of-graphs method to find how many cans of soup contain 1, 2, and 3 daily allowances of sodium.

A.

1 allowance = 3 cans;
2 allowances = 5 cans;
3 allowances = 8 cans
B.

1 allowance = 3 cans;
2 allowances = 6 cans;
3 allowances = 9 cans
C.

1 allowance = 6 cans;
2 allowances = 9 cans;
3 allowances = 3 cans
D.

1 allowance = 3 cans;
2 allowances = 6 cans;
3 allowances = 9 cans

Mathematics

Graph the linear equation.x = y + 4

A.

B.

C.

D.

Mathematics

Find the probability of drawing a spade on one draw from a card deck. ? Please enter your answer as a fraction.

What will be an ideal response?

Mathematics