1x= y
Step-by-step explanation:
x being the weight and y being the cost
Answer:
13/3
Step-by-step explanation:
ON=LM
8X-8 = 7X+4
let's find "x"
8x - 7x = 4 + 8
x = 12
now NM = OL
X-5 = 3Y-6
then
(12) - 5 = 3y - 6
7 = 3y - 6
3y = 7+6
y = 13/3
Answer:
proved.
Step-by-step explanation:
We have to prove that ![\frac{\sin^{6} x-\cos^{6}x }{1-\sin^{2}x \cos^{2}x } =1-2\cos^{2} x](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%5E%7B6%7D%20x-%5Ccos%5E%7B6%7Dx%20%7D%7B1-%5Csin%5E%7B2%7Dx%20%5Ccos%5E%7B2%7Dx%20%20%7D%20%3D1-2%5Ccos%5E%7B2%7D%20x)
So, the left hand side = ![\frac{\sin^{6} x-\cos^{6}x }{1-\sin^{2}x \cos^{2}x }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%5E%7B6%7D%20x-%5Ccos%5E%7B6%7Dx%20%7D%7B1-%5Csin%5E%7B2%7Dx%20%5Ccos%5E%7B2%7Dx%20%20%7D)
=
{Since we have the formula
}
=
{Since we have the formula
}
= ![\frac{(\sin^{2}x-\cos^{2} x )(1-\sin^{2}x \cos^{2}x)}{(1-\sin^{2}x \cos^{2}x)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csin%5E%7B2%7Dx-%5Ccos%5E%7B2%7D%20x%20%29%281-%5Csin%5E%7B2%7Dx%20%5Ccos%5E%7B2%7Dx%29%7D%7B%281-%5Csin%5E%7B2%7Dx%20%5Ccos%5E%7B2%7Dx%29%7D)
= ![(\sin^{2}x-\cos^{2} x )](https://tex.z-dn.net/?f=%28%5Csin%5E%7B2%7Dx-%5Ccos%5E%7B2%7D%20x%20%29)
=
{Since
}
= Right hand side
Hence, proved.
Answer:
75
Step-by-step explanation:
![\frac{27}{45}=\frac{45}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B45%7D%3D%5Cfrac%7B45%7D%7Bx%7D)
![x=\frac{45^{2} }{27} =75](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B45%5E%7B2%7D%20%7D%7B27%7D%20%3D75)