Answer:
<u>The correct answer is that the area of the regular octagon is 309 cm²</u>
Step-by-step explanation:
There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .
Area = (2 * s²)/tan 22,5°
s = 8 cm
Replacing with the real values, we have:
Area = (2 * 8²)/tan 22,5°
Area = 2 * 64/0.4142
Area = 128/0.4142
<u>Area = 309 cm² (Rounding to the nearest tenth)</u>
f(g(-1)) = - 3
Evaluate g(-1) and substitute into f(x)
g(-1) = (-1)² -7(-1) - 9 = 1 + 7 - 9 = - 1
f(g(-1)) = (-1) - 2 = - 3
Answer:
w = 4
Step-by-step explanation:
you would do this by re-arranging the equation
6 = 5w-10-w (move w to the other side)
6 = 4w-10 (because 5w-w = 4w)
6+10=4w (move 10 to the other side)
16 = 4w (add 6 and 10)
4 = w (divide both sides by 4)
Since the radius is 6 inches, the area is
squared inches.
Now, the full circle is a sector given by a 360° angle. So, the area of a 140° angle will be proportionate:

Solving for
, we have
