C.62% of the students participated in summer activates.
For x y chart 19.36.2.27.13
Answer:
1728
Step-by-step explanation:
To solve this expression we must multiply 3x4:
3x4=12
Next raise 12 to the 3rd power:
12x12=144
144x12=1728
Hence, the correct answer is 1728
The given function is
![y=sin(kt)](https://tex.z-dn.net/?f=y%3Dsin%28kt%29)
Differentiating
![y'=kcos(kt)](https://tex.z-dn.net/?f=y%27%3Dkcos%28kt%29)
Again differentiating
![y''=-k^2 sin(kt)](https://tex.z-dn.net/?f=y%27%27%3D-k%5E2%20sin%28kt%29)
Substituting the values of y '' and y in
![y''+19y=0](https://tex.z-dn.net/?f=y%27%27%2B19y%3D0)
We will get
![-k^2 sin(kt)+19sin(kt)=0 \\ sin(kt) (19-k^2)=0 sin(kt) =0, 19-k^2=0 \\ kt = \pi n , k =+- \sqrt{19} \\ k = \frac{ \pi n}{t} , - \sqrt{17}, \sqrt{17}](https://tex.z-dn.net/?f=-k%5E2%20sin%28kt%29%2B19sin%28kt%29%3D0%0A%5C%5C%0Asin%28kt%29%20%2819-k%5E2%29%3D0%0Asin%28kt%29%20%3D0%2C%2019-k%5E2%3D0%0A%5C%5C%0Akt%20%3D%20%5Cpi%20n%20%2C%20k%20%3D%2B-%20%5Csqrt%7B19%7D%0A%5C%5C%0Ak%20%3D%20%5Cfrac%7B%20%5Cpi%20n%7D%7Bt%7D%20%2C%20-%20%5Csqrt%7B17%7D%2C%20%5Csqrt%7B17%7D)
Answer:
![\boxed{\mathrm{x = 43.8 \ degrees}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cmathrm%7Bx%20%3D%2043.8%20%5C%20degrees%7D%7D)
Step-by-step explanation:
<em>Let the angle be x</em>
Tan x = ![\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Where opposite = 48, Adjacent = 50
Tan x = ![\frac{48}{50}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B50%7D)
Tan x = 0.96
x = ![Tan ^{-1}0.96](https://tex.z-dn.net/?f=Tan%20%5E%7B-1%7D0.96)
x = 43.8 degrees