Q = D+8
25Q + 10D = 550
Sub Q into the 2nd equation,
25(D+8) + 10D = 550
25D+200 + 10D = 550
35D = 350
D = 10 dimes
Q = 18 quarters
we know the diameter of the circle is 54, so the radius of it is half that or 27.
![\textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=27 \end{cases}\implies A=\pi (27)^2\implies \stackrel{using~\pi =3.14}{A=2289.06~mi^2}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D27%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%20%2827%29%5E2%5Cimplies%20%5Cstackrel%7Busing~%5Cpi%20%3D3.14%7D%7BA%3D2289.06~mi%5E2%7D)
1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter
hope you understood well and if not and you can ask again
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
Answer:

Step-by-step explanation:
If we take a look at the given picture, we can see that both sides are almost completely identical, so they must almost have the same value.
Let us do the plug in. Keep in mind that the angle is obtuse, meaning over 90 degrees, and angle identical or lower than 90 is incorrect.



True.


False. Meaning the 18 would not work.
x = 22.5

True.

False. Meaning that 22.5 does not work.
x = 30

True.

True. Meaning that 30 is the answer and can work.
x = 54

True.

False. Although the angle is larger than 90, 180 is a straight line, and we can see that the angles given are not straight lines or greater.