Solve the problem.A railroad tunnel is shaped like a semiellipse. The height of the tunnel at the center is 25 ft and the vertical clearance must be  at a point  from the center. Find an equation for the ellipse. 

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


Answer: A

Mathematics

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Provide an appropriate response.Explain why the sum  +  -  can be simplified quickly.

What will be an ideal response?

Mathematics

Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)M = ?r2hd for r

A. r = 
B. r = ± 
C. r = 
D. r = 

Mathematics

Solve the problem.In a 1-mile race, the winner crosses the finish line 10 feet ahead of the second-place runner and 30 feet ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 feet in 1 mile.)

A. -20.11 ft B. 10.02 ft C. -10.06 ft D. 20.04 ft

Mathematics

Solve the problem.Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 32 coins with a total face value of $5.40, how many of the coins are nickels?

A. 24 nickels B. 13 nickels C. 19 nickels D. 15 nickels

Mathematics