The formula for the area of a hexagon is
![A=\frac{3\sqrt[]{3}}{2}s^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7Ds%5E2)
where 's' is the length of one side of the regular hexagon.
The side of our regular hexagon is 2 feet, therefore, its area is
![\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B3%5Csqrt%5B%5D%7B3%7D%7D%7B2%7D%5Ccdot%282%29%5E2%3D6%5Csqrt%5B%5D%7B3%7D%20%5C%5C%206%5Csqrt%5B%5D%7B3%7D%3D10.3923048454%5Cldots%5Capprox10%20%5Cend%7Bgathered%7D)
The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².
Answer:
71 + 73 + ..... + 125 = 2,744 =
.
Step-by-step explanation:
The smallest set starts at 71. The last term is 125.
The total is 2,744, which is
.
Answer:
6x-2
Step-by-step explanation:
The perimeter of a rectangle is found by
P = 2(l+w)
=2( x-2 + 2x+1)
Combine like terms
P = 2(3x-1)
Distribute
P = 6x-2
Answer:
Y = 2
Step-by-step explanation:
For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.
Then point of division is given by
(n*x1+m*x2)/ m+n, (n*y1+m*y2)/ m+n
________________________________
Given point
c = (9,6)
d = (5,1)
ratio = 4:1
using the above formula , point of division is
x= (1*9+4*5)/ 4+1 y= (1*6+4*1)/ 4+1
x= (9+20)/ 5 y= (6+4)/ 5
x= 29/ 5 y= 10/ 5 =2
Thus, answer is y = 2