Answer:
![71.63 \: \: \mathrm{cm^2 }](https://tex.z-dn.net/?f=71.63%20%5C%3A%20%5C%3A%20%5Cmathrm%7Bcm%5E2%20%7D)
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
![d=\sqrt{w^2 + l^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Bw%5E2%20%2B%20l%5E2%7D)
The width is 10 cm and the length is 12 cm.
![d=\sqrt{10^2 + 12^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B10%5E2%20%2B%2012%5E2%7D)
![d \approx 15.62](https://tex.z-dn.net/?f=d%20%5Capprox%2015.62)
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
The
is the radius of the circle, to find radius from diameter we can divide the value by 2.
![r = \frac{d}{2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bd%7D%7B2%7D)
![r=\frac{15.62}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B15.62%7D%7B2%7D)
![r=7.81](https://tex.z-dn.net/?f=r%3D7.81)
Let’s find the area now.
![A=\pi (7.81)^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%287.81%29%5E2)
![A \approx 191.625](https://tex.z-dn.net/?f=A%20%5Capprox%20191.625)
Find the area of rectangle.
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
Length × Width.
![A = 12 \times 10](https://tex.z-dn.net/?f=A%20%3D%2012%20%5Ctimes%2010)
![A=120](https://tex.z-dn.net/?f=A%3D120)
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
![191.625-120](https://tex.z-dn.net/?f=191.625-120)
![71.625 \approx 71.63](https://tex.z-dn.net/?f=71.625%20%5Capprox%2071.63)
Answer:
her total was 11.
Step-by-step explanation:
Divide the total spent by the total feet:
$398.40 / 1000 = 0.3984 per foot.
Round the answer as needed.
Answer:
As per graphs, f(x) is a quadratic function and g(x) is an exponential function.
At x = 1 both the functions have same value of 6.
At x > 1 the exponential function has a greater rate of growth.
The answer is g(x).
Well think of it like this. lets say your teacher made you do this problem -48 - 10. I would just act like 48 is not an negative and add 10. After that I would put the negative back. So the answer would be -58. :P