The area of a dodecagon is 1/2aP
where:
a-apothem
P-perimeter
In the figure you will draw a point to any side and make a line perpendicular from a center to that side. Then if u think u can see that with only one draw of a hypotenuse can form a triangle. Then after drawing the hypotenuse which has 2 triangles, make the top angle of 1 triangle there are 30 degrees. On the down part is perpendicular and the left or the right is the 60 degrees. After that using special right triangles like the 30, 60, 90,. Then at the base of the one it bisected dived them by 2 for the 2 triangle's base. After that solve using it since the radius is 14. The apothem is 14(sqrt of 3). So after solving them the perimeter of each dodecagon is 12 sided so 14x12 is 168
A=1/2aP
A=1/2(14)(sqrt of 3)(168)
A=1176(sqrt of 3)
Thats the area of the dodecagon now the circle
A=(pi)r^2
A=(pi)(9)^2
A=81pi
Therefore the color purple is greater than the color green
1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C
I'm not sure about questions 4 and 7, but they may be correct.
I couldn't because I couldn't see the 2nd question
Answer:
x=24
Step-by-step explanation:
Here, you need to make proportion and find x.
12:16=18:x
We multiply 12 by x and 16 by 18:
12x=288
Divide by 12 both sides :
x=24
Using logarithms property of log(x)+log(y)=log(xy)
so here, you can sum the equation to;

so you can simply say that;

and by multiplying (x+6)*(x-6)

and as you know also that;

is same as

so you can simply state it as;

And you can check your work by substituting with 10 instead of x in the original function.
Hope this helps!
1.4 decameter because a decameter equals to meter divided by 10