Circumference of a circle:
C = 2 pi r
r = C / 2 pi
r = 37.68 / (2 * 3.14)
r = 6
Area of a circle:
A = pi r^2
A = 3.14 * 6^2
A = 113.04
Answer
The area of a circle = 113.04 square units
Area of a triangle = ½ * base * height
Area of blue triangle = ½ * 4 * 4
Area of blue triangle = 8
Area of red triangle = ½ * 4 * 3
Area of red triangle = 6
TOTAL AREA = 8 + 6 = 14
Answer:

Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;




Hence, there are 120 possible sequence.
Answer:
x = -1 or x = -11
Step-by-step explanation:
f(x)= 2|x+6|-4
2|x+6|-4 = 6
2|x+6| = 6+4
2|x+6|=10
|x+6| = 10/2
|x+6| = 5
x+6 = ±5
x = ±5 - 6
x = -1 or x = -11
Answer:
Step-by-step explanation:
Consider the quadratic equation, we have

Dividing the equation by a, we get

Put
on the other side,

Add
on both the sides,

completing the square, we have

Now, solving for x,


Multiply right side by
,

which is the required quadratic formula.