Answer:
300 miles
Step-by-step explanation:
125/5 = 25 mpg
12 x 25 = 300 miles
The value of x is 21.
To find this one, we need to know the formula with intersecting lines outside of the circle.
It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.
Therefore, we can write and solve the following equation:
(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
Answer:
The rocket hits the gorund after approximately 10.71 seconds.
Step-by-step explanation:
The height of the rocket <em>y</em> in feet <em>x</em> seconds after launch is given by the equation:

And we want to find the time in which the rocket will hit the ground.
When it hits the ground, its height above ground will be 0. Hence, we can let <em>y</em> = 0 and solve for <em>x: </em>
<em />
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We can use the quadratic formula:

In this case, <em>a</em> = -16, <em>b</em> = 165, and <em>c </em>= 69.
Substitute:

Evaluate:

Hence, our solutions are:

Since time cannot be negative, we can ignore the first answer.
So, the rocket hits the gorund after approximately 10.71 seconds.