Answer:
The ratios are both identical. (4 over 5 and 4 over 5)
Step-by-step explanation:
Th picture below represent the image you are referring.
sin x = opposite / hypotenuse
opposite side = 4
hypotenuse = 5
sin x° = 4/5
cos y° = adjacent/hypotenuse
adjacent = 4
hypotenuse = 5
cos y° = 4/5
The ratios are both identical (4 over 5 and 4 over 5)
<h2>Hello!</h2>
The answer is:
Ava and Kelly will be 3/4 mile apart after 0.375 hours.
<h2>Why?</h2>
To calculate when will Ava and Kelly be 3/4 mile apart, we need to write the equations for both Ava's and Kelly's positions.
Writing the equations we have:
For Ava:

For Kelly:
We need to calculate when Kelly will be 3/4 mile apart becase is running faster than Ava, so, writing the equation we have:

Now, substituting the equation for Ava into the equation for Kelly, we have:



To prove that the result is correct, we just need to substitute the obtained value for time into both equations, so, substutiting we have:
For Ava:

For Kelly:

There is a difference of 0.75 miles or 3/4 mile between Ava and Kelly, so, the obtained value for time is correct.
Therefore, we have that Ava and Kelly will be 3/4 mile apart after 0.375 hours.
Have a nice day!
Answer:
x = 2
Step-by-step explanation:
The minimum point of the curve is (2, 0). Hence, axis of symmetry is x = 2