The correct answer is 27027
Hope this helps : )
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
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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.
Y=(1/3)*x is the correct answer.
1/3 of -3 is -1
1/3 of 0 is 0
1/3 of 6 is 2
Answer:
23.8
Step-by-step explanation:
V = 4/3 π r³
V = 4/3 π (15)³
V = 4500 π
V = 4/3 π r³
4500 π / 2 = 4/3 π r³
1687.5 = r³
r ≈ 11.9
d ≈ 23.8