Formula : 2 x pie x radius
1. 2x3.14x3=18.84in
2.2x3.14x6=36.48yd
3.2x3.14x4=25.12ft
4.2x3.14x12=75.36yd
Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.
Rewriting the four given numbers to the LCD, you would get:
10/20, 15/20, 4/20, and 14/20.
Now, you just organize it from least to greatest as:
4/20 < 10/20 < 14/20 < 15/20.
In other words, it is:
1/5 < 1/2 < 7/10 < 3/4.
(0,a)
it didnt move left or right on the x-axis
it went up a units (since its half of 2a)
Join JH and KH.
You did that so you could measure or calculate the size of <JHK. There are 5 such central angles in a pentagon. If you drew a little circle with H as the center and you went around the circle once, you would have traveled 360 degrees. So <JHK = 360/5 = 72. Make sure you understand that before you read on.
Ok here's the trick. 144 = 2*72. That means that when you rotate the pentagon, you rotate it through Two central angles.
What will happen is that Point J will wind up at Point L and Point K will sit where N is right now. All the points not mentioned will do the same thing. They will move two points clockwise.
Answer: x=7
Step-by-step explanation:
Simplifying
8 + 2x = 6x + -20
Reorder the terms:
8 + 2x = -20 + 6x
Solving
8 + 2x = -20 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
8 + 2x + -6x = -20 + 6x + -6x
Combine like terms: 2x + -6x = -4x
8 + -4x = -20 + 6x + -6x
Combine like terms: 6x + -6x = 0
8 + -4x = -20 + 0
8 + -4x = -20
Add '-8' to each side of the equation.
8 + -8 + -4x = -20 + -8
Combine like terms: 8 + -8 = 0
0 + -4x = -20 + -8
-4x = -20 + -8
Combine like terms: -20 + -8 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
