Answer:
314 in² (nearest whole number)
Step-by-step explanation:
<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.
Therefore, from inspection of the given diagram:
- radius = 11 in ⇒ side length = 11 in
To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.
where:
- s = length of one side
- n = number of sides
Given:
Substitute the given values into the formula and solve for a:
<u>Area of a Regular Polygon</u>
where:
- n = number of sides
- s = length of one side
- a = apothem
Given:
Substitute the given values into the formula and solve for A:
The answer is C it’s vertex is at (2,4) because a quadratic formula is suppose to look like y= a ( x - h )^2 + k and the vertex is (h,k) when you look back at Your question h=-2 and but Bc of the formula then it’ll be h=2 and then k=4 and that’s how you get the vertex from a quadratic formula. Hope this helps :)
I am going to build a chart this is best when using ratios
seniors junior total
7 4
*? *? *?
Totals 121
The way we fill out this chart is that we add the rows and multiply the columns.
So we add 7 + 4 and fill it in our chart we get 11
seniors junior total
7 4 11
*? *? *?
Totals 121
now to find the *? need to divide 121/11 to get *?
121/11 = 11
so now our chart looks like this
seniors junior total
7 4 11
11 11 11
Totals 121
Now we multiply each column
so
7 * 11 = 77
4*11 = 44
now our chart look like this
seniors junior total
7 4 11
11 11 11
Totals 77 44 121
so seniors get 77 spaces
and juniors get 44 spaces.