Solve the problem.An aircraft going from Atlanta to Savannah on a heading of 113° (from north) is travelling at a speed of 410 miles per hour. The wind is out of the north at a speed of 22 miles per hour. Find the actual speed and direction of the aircraft.
A. 406 miles per hour; 116° from north
B. 419 miles per hour; 116° from north
C. 574 miles per hour; 115° from north
D. 402 miles per hour; 116° from north
Answer: B
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Solve the problem.A cylindrical container with a volume of 3? ft3 is to be made from two different materials. The material used for the ends costs three times as much as the material for the side. What are the dimensions of the container that minimize the cost of the materials?
A. r = 
ft; h = 
ft
B. r = 
ft; h = 4
ft
C. r = 
ft; h = 4
ft
D. r = 
ft; h = 3
ft
Solve the problem.Given the length of one side of a right triangle and the length of the hypotenuse, the formula 
where a and b are the length of the sides and c is the length of the hypotenuse, can be used to find the length of the third side. Find the length of the third side when one side, b, is 6 feet, and the length of the hypotenuse, c, is 28 feet. Round your answer to the nearest hundredth.
A. 28.64 feet B. 28.35 feet C. 29.64 feet D. 27.35 feet
Decide whether the matrices are inverses of each other. (Check to see if their product is the identity matrix I.)
and 
A. Yes B. No
Graph the polar equation.r = 
Identify the directrix and vertices. 
A. directrix: 1 unit(s) to the left of
the pole at x = -1
vertices: 
, 
B. directrix: 1 unit(s) above
the pole at y = 1
vertices: 
, 
C. directrix: 1 unit(s) to the right of
the pole at x = 1
vertices: 
, 
D. directrix: 1 unit(s) below
the pole at y = -1
vertices: 
, 
