Answer:
The middle value of the interval is 4.58
Step-by-step explanation:
Consider the provided interval.
We need to find the value that is in the middle of the interval.
We can find the middle value of the interval by adding the upper and lower limit and divide the sum of the upper and lower limits by 2.
Here the upper limit is 3.27 and lower limit is 5.89.
Hence, the middle value of the interval is 4.58
For this case we have the following equation:
h = -16t2 + 64t + 80
To find the maximum height, we derive the equation:
h = -32t + 64
We match zero:
-32t + 64 = 0
We clear t:
t = 64/32
t = 2
We substitute the value of t in the given equation:
h (2) = -16 * (2) ^ 2 + 64 * (2) + 80
h (2) = 144
Answer:
The maximum height is 144 feet and the time to reach this height is 2 seconds.
Answer:
a =7.5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10 ^2 = 12.5^2
a^2 + 100 =156.25
Subtract 100 from each side
a^2 = 56.25
Take the square root of each side
sqrt(a^2) = sqrt( 56.25)
a =7.5
