Answer:
![\frac{\sqrt{5} }{x^{2} y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7Bx%5E%7B2%7D%20y%7D)
Step-by-step explanation:
That's a complex expression, let's simplify it, step by step, off the start, we'll simplify the 55/11:
![\sqrt{ \frac{55 x^{7} y^{6} }{11 x^{11} y^{8} } } = \sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } }](https://tex.z-dn.net/?f=%5Csqrt%7B%20%5Cfrac%7B55%20x%5E%7B7%7D%20y%5E%7B6%7D%20%7D%7B11%20x%5E%7B11%7D%20y%5E%7B8%7D%20%7D%20%7D%20%3D%20%5Csqrt%7B%20%5Cfrac%7B5%20x%5E%7B7%7D%20y%5E%7B6%7D%20%7D%7Bx%5E%7B11%7D%20y%5E%7B8%7D%20%7D%20%7D)
Then we'll simplify the x's and y's:
![\sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } } = \sqrt{ \frac{5}{x^{4} y^{2} } }](https://tex.z-dn.net/?f=%5Csqrt%7B%20%5Cfrac%7B5%20x%5E%7B7%7D%20y%5E%7B6%7D%20%7D%7Bx%5E%7B11%7D%20y%5E%7B8%7D%20%7D%20%7D%20%3D%20%5Csqrt%7B%20%5Cfrac%7B5%7D%7Bx%5E%7B4%7D%20y%5E%7B2%7D%20%7D%20%7D)
Let's split the square root in two and solve the bottom part:
![\sqrt{ \frac{5}{x^{4} y^{2} } } = \frac{\sqrt{5} }{\sqrt{x^{4} y^{2}} } = \frac{\sqrt{5} }{x^{2} y}](https://tex.z-dn.net/?f=%5Csqrt%7B%20%5Cfrac%7B5%7D%7Bx%5E%7B4%7D%20y%5E%7B2%7D%20%7D%20%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7Bx%5E%7B4%7D%20y%5E%7B2%7D%7D%20%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7Bx%5E%7B2%7D%20y%7D)
The solution is then:
![\frac{\sqrt{5} }{x^{2} y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D%20%7D%7Bx%5E%7B2%7D%20y%7D)
Let "a" and "b" be the two numbers
So a*b=-8 and a+b=-7
Therefore S=-7 and P=-8
Using (x^2)-S+P=0 => (x^2)-(-7)+(-8)=0 => (x^2)+7-8=0
By factorizing we get (x+8)(x-1)=0
So a can be either -8 or 1 and b can be 1 or -8
Meaning that the two numbers are -8 and 1.
I'm pretty sure 5x -5 is 0 and 4x0 is 0
Answer:
270 degrees
Step-by-step explanation:
![Area \: of \: the \: sector \\ \\ = \frac{ \theta}{360 \degree} \times \pi {r}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 {(12)}^{2} \\ \\ 339.3 = \frac{ \theta}{360 \degree} \times 3.14 \times 144 \\ \\ \theta = \frac{339.3 \times 360 \degree}{3.14 \times 144} \\ \\ \theta = \frac{122,148\degree}{452.16} \\ \\ \theta= 270.143312 \degree \\ \\ \theta \approx \: 270\degree](https://tex.z-dn.net/?f=Area%20%20%5C%3A%20of%20%20%5C%3A%20the%20%20%5C%3A%20sector%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%5Ctimes%20%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20339.3%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%5Ctimes%20%203.14%20%7B%2812%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20339.3%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%5Ctimes%20%203.14%20%20%5Ctimes%20144%20%5C%5C%20%20%5C%5C%20%20%5Ctheta%20%3D%20%20%5Cfrac%7B339.3%20%5Ctimes%20360%20%5Cdegree%7D%7B3.14%20%5Ctimes%20144%7D%20%5C%5C%20%20%5C%5C%20%20%5Ctheta%20%3D%20%20%5Cfrac%7B122%2C148%5Cdegree%7D%7B452.16%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Ctheta%3D%20270.143312%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%5Ctheta%20%5Capprox%20%5C%3A%20%20270%5Cdegree)
Answer:
80 percent
Step-by-step explanation:
Because there are green tiles so the possibility is 80 percent