The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
2 answers:
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Answer:
257.5 mph
332.5 mph
Step-by-step explanation:
The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is
miles
Calling v1 and v2 the velocities of the two planes, we have the following equations:
(1) --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph
(2) --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)
Substituting t=1.5 h, the second equation becomes:
By substituting (1) into this last equation, we find:
And substituting this back into eq.(1), we find
So, the speeds of the two planes are
257.5 mph
332.5 mph
The formula for arc length which is measured in units not degrees is 
, where 2 pi r is the circumference. We were given the circumference as 12 pi, so we can fill in the rest of the formula and the find the length of the arc that is intercepted by that 330° angle. 
gives us, after multiplying in the pi, an arc length of 34.56 units.