Please answer! will give brainliest
2 answers:
You might be interested in
Answer:
Stefan spend $120 originally.
Stefan made $72 by selling bicycle and helmet to Jim.
Step-by-step explanation:
Given:
Cost of bicycle = $175
Cost of Helmet = $17
Percent of total cost of Jim = 160% of original cost of Stefan
We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.
Solution:
Let the Amount Stefan spend originally be 'x'.
Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.
framing in equation form we get;
Total Cost of Jim =
Now we know that;
Total Cost of Jim is equal to 160% of Amount Stefan spend originally.
framing in equation form we get;
Dividing both side by 1.6 we get;
Hence Stefan spend $120 originally.
Now we can say that;
Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.
framing in equation form we get;
Money Stefan made =
Hence Stefan made $72 by selling bicycle and helmet to Jim.
The unit disk can be parameterized by the function
where
and 
. The squared distance between any point in this region 
and the point (1, 1) is
The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.
![=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Cdisplaystyle%5Cint_%7B%5Ctheta%3D0%7D%5E%7B%5Ctheta%3D2%5Cpi%7D%5Cint_%7Br%3D0%7D%5E%7Br%3D1%7D%5Br%5E2-2r%28%5Ccos%5Ctheta-%5Csin%5Ctheta%29%2B2%5Dr%5C%2C%5Cmathrm%20dr%5C%2C%5Cmathrm%20d%5Ctheta%7D%7B%5Cdisplaystyle%5Cint_%7B%5Ctheta%3D0%7D%5E%7B%5Ctheta%3D2%5Cpi%7D%5Cint_%7Br%3D0%7D%5E%7Br%3D1%7Dr%5C%2C%5Cmathrm%20dr%5C%2C%5Cmathrm%20d%5Ctheta%7D)
where
The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.