Answer:
![\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}](https://tex.z-dn.net/?f=%5Cfbox%7B%5Cbegin%7Bminipage%7D%7B10em%7DOption%20C%20is%20correct%5Cend%7Bminipage%7D%7D)
Explanation:
A circle whose center is
and radius
, has equation:
![(x - a)^{2} + (y - b)^{2} = r^{2}](https://tex.z-dn.net/?f=%28x%20-%20a%29%5E%7B2%7D%20%2B%20%28y%20-%20b%29%5E%7B2%7D%20%3D%20r%5E%7B2%7D)
The center of circle is given as origin
, therefore:
![a = 0\\b = 0](https://tex.z-dn.net/?f=a%20%3D%200%5C%5Cb%20%3D%200)
This circle passes
, then the radius of circle is the distance
between origin
and ![(3, 0)](https://tex.z-dn.net/?f=%283%2C%200%29)
![d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%280%20-%203%29%5E%7B2%7D%20%2B%20%280%20-%200%29%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B3%5E%7B2%7D%20%7D%20%3D%203)
=> ![r = d = 3](https://tex.z-dn.net/?f=r%20%3D%20d%20%3D%203)
Substitute
,
, and
back into original equation:
![(x - 0)^{2} + (y - 0)^{2} = 3^{2}](https://tex.z-dn.net/?f=%28x%20-%200%29%5E%7B2%7D%20%2B%20%28y%20-%200%29%5E%7B2%7D%20%20%3D%203%5E%7B2%7D)
or
![x^{2} + y^{2} = 9](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%209)
Hope this helps!
:)
2/6 = 1/3
2/5 = 4/10
Hope this helps.
There is a 35% chance she will arrive after 8:30AM
Answer: The last one - 5 1/3 divided by 1/6
Step-by-step explanation:
since you are trying to figure out how much she runs a day, u divide
Hope this helps :)
Let's go:
8)
Total of senior students = 38
Total of senior students that preferred evening classes: 7
7/38 = aproximately 0,18 or 18%
Alternative A)
9)
Imagine being sold 100 desserts. Of these 100 desserts, 75% até chocolate, meaning 75 of these desserts are chocolate. Of these 75, 23% contains nuts. So:
75 × 0,23 = 17,25 = aproximately 17,3%
Alternative C)
I hope I helped you.