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:



Remember
we can do anything to an equation as long as we do it to both sides
try to isolate the variable
you have 2 types
x+b=c
x/b=c
fior the first type, minus b from both sides to get
x=c-b
for the second, multiply both sides by b to get rid of the fraction to get
x=cb
also remember that -x times -1=x
b.add 25 to both sides
-a=20
multiply -1
a=-20
c.
-t/8=-4
multiply both sides by 8
-t=-32
mutiply -1
t=32
d. -n/-5=-30
mulitply both sides by -5
-n=150
multiply both sides by -1
n=-150
e. multiply both sides by 12
-l=144
multiply b y-1
l=-144
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Equation 5x + 3x - 6 = 42
Process
Step 1. Add 6 units in both sides
5x + 3x - 6 + 6 = 42 + 6
Step 2. Simplify
5x + 3x = 48
Step 3. Simplify like terms
8x = 48
Step 4. Divide by 8 both sides
8x/8 = 48/8
Step 5. Simplify
x = 6
This is for the first one