A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.
Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm
Area of each triangle = 9/2(16.79) = 75.57 cm^2
Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2
Answer:
x cubed minus y cubed is equal to 504
Step-by-step explanation:
First we need to know what the values of x and y are. We can do this pretty easily, by just solving both equations for x, and equating them to each other:
With the first:
x + y = 10
x = 10 - y
And with the other
x - y = 6
x = 6 + y
Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:
10 - y = 6 + y
10 - 6 = y + y
4 = 2y
y = 2
And now that we know what y is, we can find x:
x = 10 - y
x = 10 - 2
x = 8
So x is equal to eight. We can check our answer by plugging x into the other equation and seeing if we get the same value for y:
x - y = 6
8 - y = 6
-y = 6 - 8
-y = -2
y = 2
So we know we solved that correctly.
Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8. If we subtract the latter from the former we get 504.
so x cubed minus y cubed is equal to 504
The cross sectional shape is a circle.
Answer:
V= 40.9
Step-by-step explanation:
the top and the bottom side both equal 26.2, if you multiply that number by 2 (Because 2 sides have that same number) you get 52.4. The next step is to take the total perimeter which is 134.2, and subtract 52.4 which brings you to 81.8. Then you divide 81.8 by 2 to get your final answer of 40.9, which is the value of V. Hope this helps!
Answer:
take a picture of it and then put it up
Step-by-step explanation:
and they should give you the answer
