Solve the problem.A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 80 feet from where the rope is staked down. Find the length of the rope if the altitude of the balloon is 100 feet.

A. 60 ft
B. 180 ft
C. 30 ft
D. 20 ft


Answer: D

Mathematics

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A. , - 
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Find the solution set for the system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection.16x2 + y2 = 16  y2 - 16x2 = 16 

A. {(0, -4), (0, 4)} B. {(0, 16)} C. {(4, 0), (4, 0)} D. {(0, -4)}

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Write the equation in standard form for an ellipse or a hyperbola centered at (h, k).2x2 + 8y2 - 16 = 0

A.  -  = 1
B.  +  = 1
C.  -  = 1
D.  +  = 1

Mathematics

Find the rectangular coordinates of the point with the given polar coordinates.

A. (-4, -7)
B. (-2, -2)
C. (-2, -3)
D. (-0.5, -/2)

Mathematics