Let's call the midpoint of GF M.
MF = 16/2 = 8
KF = 25.89
MK = sqrt(25.89^2 - 8^2)
MK = 24.62
MKF = 8 * 24.62 / 2 = 98.48 square units for one triangle
There are 20 of those triangles that make up the decagon.
Therefore the total area = 20(98.48) = 1969.6 which would be option C
convert all to a common ratio
24 1/6
30 3/6
36 2/6
(24+30+30+30+36+36)/6
186/6
the expected value is 31.
Answer:
Length = 45.37 in
Width = 30.56 in
Step-by-step explanation:
Let the width of the picture be 'w' inches.
Given:
Perimeter of the picture is, 
Length is 15.75 inches shorter than twice the width. So, length is:

Now, we know that the perimeter of a rectangular shape is given as the sum of all of its side. So, the picture is also of rectangular shape and hence the perimeter is given as:

Plug in the values of 'l' and 'P' and solve for 'w'. This gives,

Therefore, the width of the rectangular picture is 30.56 inches.
Length of the picture is, 
So, length of the picture is 45.37 inches and width is 30.56 inches.
See picture reply for answer.
Hello from MrBillDoesMath!
Answer:
Center = (-4,3)
radius = 4
Discussion:
x^2 + y^2 + 8x -6y + 9 = 0
Let "complete the square" for the x and y terms:
x^2 + y^2 + 8x -6y + 9 = 0 => group like terms
(x^2 + 8x ) + (y^2 - 6y) + 9 = 0 => complete the square for x, y
(x^2 + 8x + 16) + ( y^2 - 6y + 9) -16 - 9 +9 = 0 =>
(x+4)^2 + ( y-3)^2 = 16 + 9 - 9 =>
(x+4)^2 + ( y-3)^2 = 16 =>
Therefore,
radius = sqrt(16) = 4,
Center = (-4,3)
Graph of function attached.
Thank you,
MrB