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.
$279.84 interest is earned
Answer:
A
Step-by-step explanation:
This notation says that x+x+x+x+37=69
This can be simplified to say 4x+37=69
Answer:
144
Step-by-step explanation:
In a regular decagon like the one shown in the picture each angle is 144 degrees and it all adds up to 1,440. If you want proof search up "angle of a decagon"
<span>The correct answers are ‘distributive property' and ‘addition property of equality'. The distributive property can be observed between the first and second lines when the brackets are expanded. The addition property can be seen when -2x is added to both sides to change 6x + 10 - 2x = 22 + 2x - 2x into 4x + 10 = 22.</span>