Answer:
c. 12x; 111 cm
Step-by-step explanation:
The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

and if we substitute x = 9.25 cm, we find

Answer:
Center: (4,8)
Radius: 2.5
Equation: 
Step-by-step explanation:
It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).
Note that the longest chord is the diameter;
The midpoint of the ends of the diameter gives us the center;
Use the midpoint formula;

The center is at; 
To find the radius, use the distance formula to find the distance from the center to one of the endpoints.
The distance formula is;




The equation of the circle in standard form is given by;

We substitute the center and the radius into the formula to get;


Answer:
45.4
Step-by-step explanation:
Nx2=90.8
Divide both sides by 2
N=45.4
Answer:
- <u>The odds are 2 : 23, or about 0.09 : 1 (0.09 to 1).</u>
Explanation:
The <em>odds </em>of an event is the ratio of occurrence to non-occurrence of the event.
When you know the <em>probability</em> of an event, then you can calculate the odds by dividing the probability of occurence by the probability of non-occurrence.
Calling p the probability that an event will happen, 1 - p is the probability that it will not happen and the odds will be:
You have p = 8% = 0.08, and 1 - p = 1 -0.08 = 0.92.
Therefore:
- Odds = 0.08 / 0.92 = 8 : 92 = 2 : 23 ≈ 0.09 : 1 (0.09 to 1)