Solution:
A is the correct option.
Explanation:
We have to find the cube root of 
In order to find the cube root of the expression, we find the factors of 27.
Also x^18 can be written as
Replace the given expression with these values, we get
![\sqrt[3]{27x^{18}} =\sqrt[3]{3^3 \cdot (x^6)^3 }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27x%5E%7B18%7D%7D%20%3D%5Csqrt%5B3%5D%7B3%5E3%20%5Ccdot%20%28x%5E6%29%5E3%20%7D)
Now, we have the formula,
![\sqrt[n]{x^n} =x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%20%3Dx)
Using this formula, the cube with the cube root got cancelled and we are left with
![\sqrt[3]{27x^{18}} = 3\cdot x^6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27x%5E%7B18%7D%7D%20%3D%203%5Ccdot%20x%5E6)
Therefore, the cube root of 27x^18 is 3x^6.
A is the correct option.
Well diameter will be the diagnol of that square..
let side of square be x, then diagonal will be root2 * x = diameter
so, raidus will be = dia/ 2
= (root2 * x ) /2
Answer:
I'll explain you number one
3
Step-by-step explanation:
You first subtract the single number (1) subtract to 10 which gives you 9, then you will divide 3 from 9 which gives you 3
Sorry I couldn't help you with there other ones.
Answer:
rectangle with maximum area has dimensions of 745 yd x 1490 yd
Step-by-step explanation:
the rectangular area is
Area = x*y , where x= side along the river , y = side perpendicular to the river
since we have only 2980 yd of fencing, the total fencing ( perimeter) will be
x+2*y = 2980 yd =a
then solving for x
x= a - 2*y
replacing in the area expression
A=Area = x*y = (a- 2*y) *y = a*y - 2*y²
the maximum area is found when the derivative with respect to y is 0 , then
dA/dy= a - 4*y = 0 → y=a/4 = 2980 yd /4 = 745 yd
then
x= a - 2*y = a - 2* a/4 = a/2 = 2980 yd /2 = 1490 yd
then the rectangle with maximum area has dimensions of 745 yd x 1490 yd
