Answer:
15 miles
Step-by-step explanation:
Let be the miles in the circular park path, the time Louisa takes to finish and the time Calvin takes to finish both in hours.
Then , the longitude is equal to the velocity times the time used to finish. So
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
In this last equation replace with the other equation and solve:
With Louisa's time find x:
<span>C. 80 simulations would be the most likely to reproduce results predicted by probability theory. Due to the law of large numbers, as the number of trials increase, the actual ratio of outcomes will converge on the theoretical, or expected, ratio of outcomes.</span>
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:
Equation of a circle:
The equation of a circle with center and radius r is given by:
Center at (16, 30)
This means that
Thus
Passes through the origin:
We use this to find the radius squared, as this means that is part of the circle. Thus
Thus, the equation of the circle is:
For another example to find the equation of a circle, you can look at brainly.com/question/23719612
The square root of 71 is equal to 8.426149773176359...., which is between 8 and 9.
To check: square of 8 is 64, and of 9 is 81: 71 is between those two numbers, as it should be.