Step-by-step explanation:
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Answer:
132.25 feet
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c,
here a is -16, and b is 92
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -92/[2(-16)]
x = -92/-32
x= 23/8
Now plug that into the equation to find the y value, which will be the height...
y = 92(23/8) - 16(23/8)²
y = 2116/8 - 16(529/64)
y = 1058/4 - 529/4
y = 529/4
y = 132.25
Answer:
Step-by-step explanation:
-356.1 + 258.6 = -97.5
Imagine a long timeline with 0 in the middle, on the left we have -356.1 and on the right we have 356.1. Adding numbers makes the timeline move right.
Starting from the left, add (+) 258.6 to the number (moving right along the timeline). As 356 is larger than 258, the scale does not reach 0 yet and therefore the number must be negative.
Using this logic, the answer is 97.5
<span>the perimeter of the cross section is 16.5 inches.
the perimeter of the cross section is 2*L plus 2*W where L is the length of the cross section and W is the width of the cross section.
since L = 2*W, the perimeter becomes 4*W plus 2*W = 6*W.
16.5 / 6 = 2.75 inches.
W = 2.75 inches.
L = 5.5 inches.
P = 2*L + 2*W = 2*5.5 + 2*2.75 = 11 + 5.5 = 16.5 </span>
I believe that in this problem, we are asked for the hypotenuse of the triangle that can be formed when we make a right triangle out of the planes and the intersection of their paths. To solve for the hypotenuse of a right triangle, we make use of the equation,
h² = 64.2² + 85.7²
The value of h from the equation is equal to 106.0 miles.