Answer:
C. 6.02sec
Step-by-step explanation:
Given
![h(t) = -16t\² +96t + 2](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5C%C2%B2%20%2B96t%20%2B%202)
Required
Time to hit the ground
When the turtle shell hits the ground, ![h(t) = 0](https://tex.z-dn.net/?f=h%28t%29%20%3D%200)
So:
![0 = -16t\² +96t + 2.](https://tex.z-dn.net/?f=0%20%3D%20-16t%5C%C2%B2%20%2B96t%20%2B%202.)
Solving using quadratic formula:
![t = \frac{-b\±\sqrt{b^2-fac}}{2a}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-b%5C%C2%B1%5Csqrt%7Bb%5E2-fac%7D%7D%7B2a%7D)
Where:
![a = -16; b =96; c = 2](https://tex.z-dn.net/?f=a%20%3D%20-16%3B%20b%20%3D96%3B%20c%20%3D%202)
So:
![t = \frac{-96\±\sqrt{96^2-4 * -16 * 2}}{2*-16}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-96%5C%C2%B1%5Csqrt%7B96%5E2-4%20%2A%20-16%20%2A%202%7D%7D%7B2%2A-16%7D)
![t = \frac{-96\±\sqrt{9344}}{-32}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-96%5C%C2%B1%5Csqrt%7B9344%7D%7D%7B-32%7D)
![t = \frac{-96\±96.66}{-32}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-96%5C%C2%B196.66%7D%7B-32%7D)
Split:
or ![t = \frac{-96-96.66}{-32}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-96-96.66%7D%7B-32%7D)
or ![t = \frac{-192.66}{-32}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-192.66%7D%7B-32%7D)
or ![t = 6.020625](https://tex.z-dn.net/?f=t%20%3D%206.020625)
So time can't be negative, we have:
![t = 6.020625](https://tex.z-dn.net/?f=t%20%3D%206.020625)
<em>Option C answers the question</em>
Sine wave with amplitude 0.25
Period is 4/3
h(t) = 0.25Sin((2Pi/4/3)t) = 0.25Sin((3Pi/2)t)
Since it is an isos. triangle we know that both sides are equal
Let's let the base=b and the legs =L
We know that B=L-4
And L-4+L+L=23
3L-4=23
3L=27
L=9
Hope this helps! :)
Let me know if you have any questions!
Answer: 117
Step-by-step explanation:
All you need to do is 300-183
This is because you know 300-x(your missing number)=183
With communitive property, just switch the problem up and then get your answer!
I hope this helped!