Your answer is 840!
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Answer: 200 square units
Step-by-step explanation:
Given
Circumference of the circle is ![20\pi](https://tex.z-dn.net/?f=20%5Cpi)
Suppose r is the radius of the circle
The biggest area of a quadrilateral that can fit in a circle is of square.
Deduce the radius of the circle
![2\pi r=20\pi\\r=10\ \text{units}](https://tex.z-dn.net/?f=2%5Cpi%20r%3D20%5Cpi%5C%5Cr%3D10%5C%20%5Ctext%7Bunits%7D)
Suppose the side of the square is a
from the figure, we can write
![\Rightarrow a^2+a^2=(2r)^2\\\Rightarrow 2a^2=4r^2\\\Rightarrow a=\sqrt{2}r\\\Rightarrow a=10\sqrt{2}\ \text{units}](https://tex.z-dn.net/?f=%5CRightarrow%20a%5E2%2Ba%5E2%3D%282r%29%5E2%5C%5C%5CRightarrow%202a%5E2%3D4r%5E2%5C%5C%5CRightarrow%20a%3D%5Csqrt%7B2%7Dr%5C%5C%5CRightarrow%20a%3D10%5Csqrt%7B2%7D%5C%20%5Ctext%7Bunits%7D)
Area of the quadrilateral is
![\Rightarrow A=(10\sqrt{2})^2\\\Rightarrow A=100\times 2\\\Rightarrow A=200\ \text{square units}](https://tex.z-dn.net/?f=%5CRightarrow%20A%3D%2810%5Csqrt%7B2%7D%29%5E2%5C%5C%5CRightarrow%20A%3D100%5Ctimes%202%5C%5C%5CRightarrow%20A%3D200%5C%20%5Ctext%7Bsquare%20units%7D)
Answer: 30 feet
Step-by-step explanation:
10 / 2.5 = 4
7.5 * 4 = 30
(x + 8)(x - 5)
= x (x - 5) + 8(x - 5)
= x² - 5x + 8x - 40
= <u>x²</u><u> </u><u>+</u><u> </u><u>3</u><u>x</u><u> </u><u>-</u><u> </u><u>4</u><u>0</u><u> </u><u>(</u><u>a)</u>
Im pretty sure the answer is a