Answer:
75.44 Square Inches
Step-by-step explanation:
The diagram of the problem is produced and attached.
To determine the area of the cleaned sector:
Let the radius of the larger sector be R
Let the radius of the smaller sector be r
Area of the larger sector ![=\frac{\theta}{360}X\pi R^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20R%5E2)
Area of the smaller sector ![=\frac{\theta}{360}X\pi r^2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20r%5E2)
Area of shaded part =Area of the larger sector-Area of the smaller sector
![=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20R%5E2-%5Cfrac%7B%5Ctheta%7D%7B360%7DX%5Cpi%20r%5E2%5C%5C%3D%5Cfrac%7B%5Ctheta%20%5Cpi%7D%7B360%7DX%20%28R%5E2-%20r%5E2%29)
From the diagram, R=10 Inch, r=10-7=3 Inch, ![\theta=95^\circ](https://tex.z-dn.net/?f=%5Ctheta%3D95%5E%5Ccirc)
Therefore, Area of the sector cleaned
![=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches](https://tex.z-dn.net/?f=%3D%5Cfrac%7B95%20%5Cpi%7D%7B360%7DX%20%2810%5E2-%203%5E2%29%5C%5C%3D75.44%24%20Square%20Inches)
When asked these kinds of problems you find the discriminate and use that to tell if you have one , two or zero real solutions.
The formula for the discriminate is b^2 - 4ac. I hope that looks familiar because it is the inside part of the quadratic formula. (the part under the radical)
so if your answer is greater than zero you have two solutions
if your answer is equal to zero you have one solution
if your answer is less than zero you have no real solutions it will be a complex solution.
So lets apply all that to your question:
5^2 - 4(1)(7) = -3
so your answer would be B no real-number solution.
The answer is letter B. This is through using the formula of compound interest which is divided in quarterly. This means the number of months are only 3. SO compound interest is equal to Principal amount(1+rate/number of months)^number of months x time. This will give you the answer of <span>$3,081.54.</span>
Cris is 15 it’s actually quite easy
Answer:
It's 3.6^4
Step-by-step explanation: