Solve.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 30 feet from where the rope is staked down. Find the length of the rope if the altitude of the balloon is 60 feet. Give your answer as a simplified radical.

A. 30 ft
B. 90 ft
C. 30 ft
D. 30 ft


Answer: C

Mathematics

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For the statement below, identify which of the following properties is demonstrated: identity property of addition, identity property of multiplication, inverse property of addition, or inverse property of multiplication.y + 0 = y

A. identity property of multiplication B. inverse property of multiplication C. identity property of addition D. inverse property of addition

Mathematics

A cleaning process is removing salt from a pool. The amount S, in pounds, of salt remaining after t hours is given in the following table. Use exponential regression to determine the amount of salt remaining after 19.82 hours. Round your answer to two decimal places.  t 1.54 5.04 8.82 12.81 15.82 S 20.73 11.71 6.58 3.46 2.92?

A. 4.60 pounds B. 1.54 pounds C. 6.18 pounds D. 2.66 pounds

Mathematics

Convert the following.179 cm2 to square meters

A. 17.9 m2 B. 1.79 m2 C. 0.0179 m2 D. 0.179 m2

Mathematics

Solve the problem.Find the mass of the solid in the first octant between the spheres  and  if the density at any point is inversely proportional to its distance from the origin.

A. k?
B. 40k?
C. k?
D. 5k?

Mathematics