Answer:
Step-by-step explanation:
mcccccccccccccccccccccccccccccccccccccccccccccc
Answer:
x= -48 y =48
Step-by-step explanation:
-46 and 2 is -48 numbers away
If
![f(\theta)=10\cos\theta+5\sin^2\theta](https://tex.z-dn.net/?f=f%28%5Ctheta%29%3D10%5Ccos%5Ctheta%2B5%5Csin%5E2%5Ctheta)
then the derivative is
![f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta](https://tex.z-dn.net/?f=f%27%28%5Ctheta%29%3D-10%5Csin%5Ctheta%2B10%5Csin%5Ctheta%5Ccos%5Ctheta)
Critical points occur where
. This happens for
![-10\sin\theta+10\sin\theta\cos\theta=0](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%2B10%5Csin%5Ctheta%5Ccos%5Ctheta%3D0)
![-10\sin\theta(1-\cos\theta)=0](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%281-%5Ccos%5Ctheta%29%3D0)
![\implies-10\sin\theta=0\text{ or }1-\cos\theta=0](https://tex.z-dn.net/?f=%5Cimplies-10%5Csin%5Ctheta%3D0%5Ctext%7B%20or%20%7D1-%5Ccos%5Ctheta%3D0)
In the first case, we find
![-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi](https://tex.z-dn.net/?f=-10%5Csin%5Ctheta%3D0%5Cimplies%5Csin%5Ctheta%3D0%5Cimplies%5Ctheta%3Dn%5Cpi)
In the second,
![1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi](https://tex.z-dn.net/?f=1-%5Ccos%5Ctheta%3D0%5Cimplies%5Ccos%5Ctheta%3D1%5Cimplies%5Ctheta%3D2n%5Cpi)
So all the critical points occur at multiples of
, or
. (This includes all the even multiples of
.)
Hi there!
To calculate a discount or a mark-up in the price of a retail item, you need to multiply the given price of the item by the percentage, like so:
1.35 × 0.2 = 0.27
Then you add or subtract as necessary. In your case you would subtract since you are trying to find a discount price.
1.35 - 0.27 = 1.08
So the final price of the product after the discount is $1.08
Your friend, ASIAX
The correct answer is
<span>D. The number of degrees in its supplement
The size of the sides and the rotation is irrelevant and would still keep the angle having the same size. The number of degrees in the supplement decides how big an angle is because the larger the supplementary angle the smaller the angle we're observing will be, and vice versa.</span>