Answer:
The theoretical probability of choosing a letter other than Z is 96.2%
Step-by-step explanation:
Answer:
3 1/5
Step-by-step explanation:
16/5 = 3 Remainder 1 --> 3 1/5.
Answer:
First blank: 6a
Second blank: 2/3
Third blank: 21.6
Fourth blank: 3.9
Step-by-step explanation:
Basically, all you need to do is distribute the 2/3 to the stuff inside the parentheses. That means in the first blank, write 6a inside since you're multiplying 2/3 and 6a, and then in the second blank you write 2/3 since you're multiplying 2/3 and 9 together.
2/3*6a+2/3*9 = 21.6 is what you should have.
Now, just solve for a.
4a+6 = 21.6
4a=15.6
a=3.9
Answer: 5
Step-by-step explanation:
1. 3x+2=17
2. 3x+2-2=17-2 ( we subtract 2 from both sides)
3. then we simplify 3x=15
4. \frac{3x}{3}=\frac{15}{3} then i divide both sides by 3
5. and as we simplify, x=5
Answer:
389.1 units² (nearest tenth)
Step-by-step explanation:
<u>Regular polygon</u>: all side lengths are equal, all interior angles are equal.
<u>Apothem</u>: a line drawn from the center of any polygon to the midpoint of one of the sides
<u>Radius</u>: a line drawn from the center of the polygon to a vertex.
Therefore, we have been given the apothem of this regular dodecagon.
<h3><u>Formulae</u></h3>
where:
- n = number of sides
- l = length of one side
- a = apothem (the line drawn from the center of any polygon to the midpoint of one of the sides)
where:
- l = length of one side
- n = number of sides
<h3><u>Solution</u></h3>
First, calculate the length of one side of the regular dodecagon by substituting a = 11 and n = 12 into the apothem formula:
Now substitute n = 12, the found value of l, and a = 11 into the area formula: