Find the equation of the line parallel to the line containing points
1 answer:
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Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
so we can solve the formula for C so we get:
and now we can substitute the values we know:
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
To find the diameter, divide the area(254.34) by pi(3.1415) and then square the quotient
That is the radius now just times that by 2 so 2 x 8.99 = 17.98
Now I have a felling the might be wanting 18 because 8.99 is so close to 9 and this is also true for 80.95. They probably want 80.95 = 81, which the square root of that is 9, which is the radius and if you times that by 2 the diameter would equal 18
That is the radius now just times that by 2 so 2 x 8.99 = 17.98
Now I have a felling the might be wanting 18 because 8.99 is so close to 9 and this is also true for 80.95. They probably want 80.95 = 81, which the square root of that is 9, which is the radius and if you times that by 2 the diameter would equal 18