Answer:
![58.8\ mm^2](https://tex.z-dn.net/?f=58.8%5C%20mm%5E2)
Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to
![A=bh](https://tex.z-dn.net/?f=A%3Dbh)
where
![b=9\ mm\\h=3\ mm](https://tex.z-dn.net/?f=b%3D9%5C%20mm%5C%5Ch%3D3%5C%20mm)
substitute
![A=(9)(3)=27\ mm^2](https://tex.z-dn.net/?f=A%3D%289%29%283%29%3D27%5C%20mm%5E2)
step 2
Find the area of semicircle
The area of semicircle is equal to
![A=\frac{1}{2}\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r%5E%7B2%7D)
we have
---> the radius is half the diameter
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![A=\frac{1}{2}(3.14) (4.5)^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%283.14%29%20%284.5%29%5E%7B2%7D)
![A=31.8\ mm^2](https://tex.z-dn.net/?f=A%3D31.8%5C%20mm%5E2)
step 3
Find the area of the figure
![A=27+31.8=58.8\ mm^2](https://tex.z-dn.net/?f=A%3D27%2B31.8%3D58.8%5C%20mm%5E2)
The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)
<h3>How to factorize quadratic equations?</h3>
We are given the quadratic equation;
81x² - 100
Now, according to quadratic identities, we know that;
(a + b) * (a - b) = a² - b²
Now, our equation can also be expressed as;
81x² - 100 = 9²x² - 10²
Thus, applying the quadratic identity gives us;
(9x + 10)(9x - 10)
Read more about factorization of quadratic equations at; brainly.com/question/1214333
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C but i could be wrong lol very wrong.
Answer:
the fee at bank A will be more than the fee at bank D only when the checking account balance is more than $400 dollars.
Step-by-step explanation: