Find the missing value to the nearest hundredth sin= 7/25
1 answer:
Answer:
16.26
Step-by-step explanation:
I am not completely sure what the problem is asking, but I believe that you are just supposed to take the inverse of sine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then sine. You use the inverse of sine when two sides are given, but you are not given the angle.
It should look like:
, which is approximately 16.26.
Hopefully this is right, if not, please let me know. Good luck.
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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
__
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.
