Answer:
The best estimate of he area of the figure is ![38.28\ cm^{2}](https://tex.z-dn.net/?f=38.28%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a semicircle plus the area of rectangle plus the area of a right triangle
so
![A=\frac{1}{2}\pi r^{2}+LW+\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E%7B2%7D%2BLW%2B%5Cfrac%7B1%7D%7B2%7Dbh)
we have
<em>Semicircle</em>
----> the radius is half the diameter
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
<em>Rectangle</em>
![L=6\ cm](https://tex.z-dn.net/?f=L%3D6%5C%20cm)
![W=4\ cm](https://tex.z-dn.net/?f=W%3D4%5C%20cm)
<em>Triangle</em>
![b=10-6=4\ cm](https://tex.z-dn.net/?f=b%3D10-6%3D4%5C%20cm)
![h=4\ cm](https://tex.z-dn.net/?f=h%3D4%5C%20cm)
substitute the values
![A=\frac{1}{2}(3.14)(2)^{2}+(6)(4)+\frac{1}{2}(4)(4)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%283.14%29%282%29%5E%7B2%7D%2B%286%29%284%29%2B%5Cfrac%7B1%7D%7B2%7D%284%29%284%29)
![A=6.28+24+8=38.28\ cm^{2}](https://tex.z-dn.net/?f=A%3D6.28%2B24%2B8%3D38.28%5C%20cm%5E%7B2%7D)
Answer:
(C) α + β + γ
Step-by-step explanation:
The sum of interior angles of ΔOCB & ΔOCA = 180° x 2 = 360°
α + β + γ + (360°-x) = 360°
x = α + β + γ
Answer:
here's an equation that has a degree of 2
![4x^2-37x+19](https://tex.z-dn.net/?f=4x%5E2-37x%2B19)
or
(x+3)(x-1)
=(x^2+2x-3)