A number reckoned on the basis of a whole divided into 100 parts is known as a
1 answer:
The answer for the question is: Percentage.
The explanation for this answer is shown below:
By definition, a percentage is a number that is computed on the basis of a whole divided into one hundred parts. Therefore, based on this definition, you can write a percent as percentage (with the symbol %), as a fraction (with a numerator and a denominator) and you can also express it as a decimal, as following:
%
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Answer:
- Josh's book lands first
- Ben's lands about 0.648 seconds later
Step-by-step explanation:
Using the given equation for v=60 and s=40, the height of Ben's book is ...
h(t) = -16t² +60t +40
We want to find t when h(t) = 0, so we're looking for the solution to ....
0 = -16t² +60t +40
Using the quadratic formula, we find the positive value of t to be ...
t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277
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Similarly, the height of Josh's book is ...
0 = -16t² +48t +40
t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794
__
The time before Josh's book lands is shorter by ...
4.3277 -3.6794 ≈ 0.6482 . . . . . seconds
Josh's book reaches the ground first, by about 0.648 seconds.
