Answer:
area = 520 units²
Step-by-step explanation:
divide the hexagon into 6 equal triangles.
each triangle has a base of 14 and a height of 12.1 so:
the area of one triangles = 1/2BH = 1/2(14)(12.1) = 86.8 units ²
86.8 x 6 triangles = 520.8 units²
Step-by-step explanation:
CDE = 2x, DEF = x
hexagon = 720°
720 = 115 + 145 + 160 + 90 + 2x + x
720 = 3x + 510
720 - 510 = 3x
210 = 3x
x = 210 ÷ 3
x = 70°
CDE = 2x
= 2(70)
= 140°
9^(6x)=3^(2x+4) I assume this is what you meant...
since 9=3^2
3^2^(6x)=3^(2x+4)
and since (a^b)^c=a^(bc)
3^(12x)=3^(2x+4)
so if a^b=a^c then b=c so
12x=2x+4
10x=4
x=0.4
Jaira is completing the construction of a regular hexagon inscribed in a circle, as shown below: The next step in her construction should be:
- construct another pont E by placing her compass at the locus D
- Repeat the process to get 6 more points on the given circle then join all of them together.
<h3>
What is a regular hexagon?</h3>
A closed polygon with six equal sides and six equal angles is called a regular hexagon.
Thus, the steps highlighted above will help Jaira complete her construction.
Learn more about regular hexagons at;
brainly.com/question/10209400
#SPJ1
a)
The probability of drawing a yellow marble is:
![P=\frac{\text{number of yellow marbles}}{\text{number of all marbles in total}} = \frac{5}{44}=0.1136](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5Ctext%7Bnumber%20of%20yellow%20marbles%7D%7D%7B%5Ctext%7Bnumber%20of%20all%20marbles%20in%20total%7D%7D%20%3D%20%5Cfrac%7B5%7D%7B44%7D%3D0.1136)
b)
The probability of drawing a blue or green marble is:
![P=\frac{\text{number of blue and green marble}}{\text{number of all marbles in total}} = \frac{15+13}{44} = \frac{28}{44}=0.6363](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5Ctext%7Bnumber%20of%20blue%20and%20green%20marble%7D%7D%7B%5Ctext%7Bnumber%20of%20all%20marbles%20in%20total%7D%7D%20%3D%20%5Cfrac%7B15%2B13%7D%7B44%7D%20%3D%20%5Cfrac%7B28%7D%7B44%7D%3D0.6363)
c)
The probability of NOT drawing a red marble is:
![P=\frac{\text{number of marbles that are not red}}{\text{number of all marbles in total}} = \frac{44-11}{44}=\frac{33}{44}=0.75](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5Ctext%7Bnumber%20of%20marbles%20that%20are%20not%20red%7D%7D%7B%5Ctext%7Bnumber%20of%20all%20marbles%20in%20total%7D%7D%20%3D%20%5Cfrac%7B44-11%7D%7B44%7D%3D%5Cfrac%7B33%7D%7B44%7D%3D0.75)