if the diameter of a circle is 15, its radius is half that or 7.5.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7.5 \end{cases} A=\pi (7.5)^2\implies A=56.25\pi \implies \stackrel{\pi =3.14}{A=176.625}](https://tex.z-dn.net/?f=%5Cbf%20%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%3D7.5%20%5Cend%7Bcases%7D%20A%3D%5Cpi%20%287.5%29%5E2%5Cimplies%20A%3D56.25%5Cpi%20%5Cimplies%20%5Cstackrel%7B%5Cpi%20%3D3.14%7D%7BA%3D176.625%7D%20)
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Answer:
- 100 mL of 75% solution
- 150 mL of pure alcohol
Step-by-step explanation:
Let x represent the quantity (in mL) of pure alcohol needed for the mix. Then the amount of 75% needed is (250-x). The amount of alcohol in the mixture is ...
1.00x +0.75(250 -x) = 0.90(250)
0.25x +187.5 = 225 . . simplify
0.25x = 37.5 . . . . . . . . subtract 187.5
x = 150 . . . . . . . . . . . . . divide by 0.25
(250 -x) = 100 . . . . mL of 75% solution
You need 100 mL of the 75% solution and 150 mL of pure alcohol to obtain the desired mixture.
Answer:
<u>Geometry</u>
AC equals 13x + 7
<u>Algebra</u>
1. x = -16
2. x = 2
3. 2x^2 - 5x -7
4. (2x + 1)(x - 5)
Step-by-step explanation:
Answer:
X=5
Step-by-step explanation:
Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs
Answer:
Look for the bolded words ;'D
Step-by-step explanation:
The proportion setup would be 1/100=x/1063, since youre missing the inches from the actual model. By cross multiplying the equation to get 100x=1063, you'll now need to divide both sides of the equation by 100. This will get you 1063/100 inches, or you can get 10.63 inches by dividing 1063 by 100. You can also get 10 9/25 inches if you simplify the improper fraction...
....lol sorry for taking so long, but have a good day! :'D
