Answer:
C
Step-by-step explanation:
Answer:
14 tests in 7 weeks
Step-by-step explanation:
SO from what I did was...
Since 24 x 3 = 72 , I did the same to 16.
16 x 3 = 48
But because instead of their being 3 teachers there is 1... What I did is just was to divide 48 / 2 which gave me the answer of 24...
So what I think the answer is...
There are 72 boys, 24 girls, and 1 teacher...
Unless I am just dumb and it would be 48 girls, but I think I did it right.
I hope I was able to help out.
Answer: The answer is the second equation (y = 3x-4 and y = -1/3x - 2)
Step-by-step explanation:
This is because two lines are perpendicular when the slopes of the equations are negative reciprocals from each other.
Answer:
Required center of mass 
Step-by-step explanation:
Given semcircles are,
whose radious are 1 and 4 respectively.
To find center of mass, 
, let density at any point is 
and distance from the origin is r be such that,
where k is a constant.
Mass of the lamina=m=
where A is the total region and D is curves.
then,
- Now, x-coordinate of center of mass is
. in polar coordinate 
![=3k\big[-\cos\theta\big]_{0}^{\pi}](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B-%5Ccos%5Ctheta%5Cbig%5D_%7B0%7D%5E%7B%5Cpi%7D)
![=3k\big[-\cos\pi+\cos 0\big]](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B-%5Ccos%5Cpi%2B%5Ccos%200%5Cbig%5D)
Then, 
- y-coordinate of center of mass is
. in polar coordinate 
![=3k\big[\sin\theta\big]_{0}^{\pi}](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B%5Csin%5Ctheta%5Cbig%5D_%7B0%7D%5E%7B%5Cpi%7D)
![=3k\big[\sin\pi-\sin 0\big]](https://tex.z-dn.net/?f=%3D3k%5Cbig%5B%5Csin%5Cpi-%5Csin%200%5Cbig%5D)
Then, 
Hence center of mass
