From the ratio given we know that there is 3 times more cats than dogs.
If there are 15 cats, then there are 15/3 dogs or 5 dogs.
answer: 5 dogs
![\\ \rm\Rrightarrow f(x)=-5cos\dfrac{x}{2}+5](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20f%28x%29%3D-5cos%5Cdfrac%7Bx%7D%7B2%7D%2B5)
Compare to standard equation of SHM
![\\ \rm\Rrightarrow y=Acos(\omega x+\phi)](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20y%3DAcos%28%5Comega%20x%2B%5Cphi%29)
Here
![\\ \rm\Rrightarrow \omega x=\dfrac{x}{2}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Comega%20x%3D%5Cdfrac%7Bx%7D%7B2%7D)
![\\ \rm\Rrightarrow \omega=1/2](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Comega%3D1%2F2)
Well the above one are for extra knowledge .
Solution:-
![\\ \rm\Rrightarrow 10=-5cos\dfrac{x}{2}+5](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%2010%3D-5cos%5Cdfrac%7Bx%7D%7B2%7D%2B5)
![\\ \rm\Rrightarrow 10-5=-5cos\dfrac{x}{2}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%2010-5%3D-5cos%5Cdfrac%7Bx%7D%7B2%7D)
![\\ \rm\Rrightarrow 5=-5cos\dfrac{x}{2}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%205%3D-5cos%5Cdfrac%7Bx%7D%7B2%7D)
![\\ \rm\Rrightarrow cos\dfrac{x}{2}=-1](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20cos%5Cdfrac%7Bx%7D%7B2%7D%3D-1)
![\\ \rm\Rrightarrow \dfrac{x}{2}=cos^{-1}(-1)](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Cdfrac%7Bx%7D%7B2%7D%3Dcos%5E%7B-1%7D%28-1%29)
![\\ \rm\Rrightarrow \dfrac{x}{2}=\pi](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Cdfrac%7Bx%7D%7B2%7D%3D%5Cpi)
![\\ \rm\Rrightarrow x=2\pi](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20x%3D2%5Cpi)
So.
![\\ \rm\Rrightarrow x=2\pi+2\pi n](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20x%3D2%5Cpi%2B2%5Cpi%20n)
Multiply number of gallons by 16 (because 16 oz/ 1 gallon).
5. m=3 because 6/2 is the slope. b= 1
6. m= -4 because -20/5 is the slope. b= 140
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°