200/700= 2/7
hope it helps
Answer:
The correct option is B.
Step-by-step explanation:
The given expression is
![\sqrt{144x^{36}}](https://tex.z-dn.net/?f=%5Csqrt%7B144x%5E%7B36%7D%7D)
Use the property of radicals.
![\sqrt{ab}=\sqrt{a}\sqrt{b}](https://tex.z-dn.net/?f=%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D)
![\sqrt{144x^{36}}=\sqrt{144}\times \sqrt{x^{36}}](https://tex.z-dn.net/?f=%5Csqrt%7B144x%5E%7B36%7D%7D%3D%5Csqrt%7B144%7D%5Ctimes%20%5Csqrt%7Bx%5E%7B36%7D%7D)
Use the property of exponent.
![a^{mn}=(a^m)^n](https://tex.z-dn.net/?f=a%5E%7Bmn%7D%3D%28a%5Em%29%5En)
![\sqrt{144x^{36}}=12\times \sqrt{(x^{18})^2}](https://tex.z-dn.net/?f=%5Csqrt%7B144x%5E%7B36%7D%7D%3D12%5Ctimes%20%5Csqrt%7B%28x%5E%7B18%7D%29%5E2%7D)
![\sqrt{144x^{36}}=12\times x^{18}](https://tex.z-dn.net/?f=%5Csqrt%7B144x%5E%7B36%7D%7D%3D12%5Ctimes%20x%5E%7B18%7D)
![\sqrt{144x^{36}}=12x^{18}](https://tex.z-dn.net/?f=%5Csqrt%7B144x%5E%7B36%7D%7D%3D12x%5E%7B18%7D)
Therefore option B is correct.
Answer:
![A=5940\ unit^2](https://tex.z-dn.net/?f=A%3D5940%5C%20unit%5E2)
Step-by-step explanation:
Given that,
The area of a circle, ![A=36\pi](https://tex.z-dn.net/?f=A%3D36%5Cpi)
Central angle,
= 330
We need to find the area of the sector. The formula for the area of sector is given by :
![A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{330}{360}\times 36\times 180\\\\A=5940\ unit^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%7D%7B360%7D%5Ctimes%20%5Cpi%20r%5E2%5C%5C%5C%5CA%3D%5Cdfrac%7B330%7D%7B360%7D%5Ctimes%2036%5Ctimes%20180%5C%5C%5C%5CA%3D5940%5C%20unit%5E2)
So, the area of the sector is equal to
.
<span>5.8+4.1-12.6+x-8.9=-4.6
We move all terms to the left:
5.8+4.1-12.6+x-8.9-(-4.6)=0
We add all the numbers together, and all the variables
x-7=0
We move all terms containing x to the left, all other terms to the right
x=7</span>
Answer:
$2,315.25
Step-by-step explanation:
2000 x 0.05 = 100
2000 + 100 = 2100
After year one: 2100
2100 x 0.05 = 105
2100 + 105 = 2205
After year two: 2205
2205 x 0.05 = 110.25
2205 + 110.25 = 2315.25
After year three: 2315.25