Answer:
169.39 feet.
Step-by-step explanation:
We have been given that the Apollo's chariot, a roller coaster at Busch gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation
. We are asked to find the maximum height that the ride can reach.
To find the maximum height that the ride can reach, we need to find y-coordinate of vertex of parabola because our given equation is downward opening parabola and its maximum point will be the vertex.
First of all, we will find x-coordinate of vertex using formula
.

Now, we will substitute
in our equation to find y-coordinate of vertex as:





Therefore, the ride will reach to a maximum height of 169.39 feet.169.39 feet.
I think you meant to say

(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

This is simple pythagoras, its just a²+b²=c². First you find the hypotenuse, which is 97; now you have the equation: x²+72²=97²
x²=9409-5184
x= √4225
x=65
the answer is 65m
The formula of the area of the circle is
Area = pi * (d/2)^2
So using the formula,
Area = 3.14 * (30/2)^2
Area = 3.14 * 15^2
Area = 706.5 ft^2
So the area of the hockey rink is 706.5 ft^2