In uniform circular motion (circular motion at same speed), (tangential velocity)^2/radius = acceleration towards the center of the circle (centripetal acceleration)
<span>Also, radius is the distance to the center of the circle (track). </span>
<span>So, in your case, 15.4m/s^2 = (30.0m/s)^2/(radius) </span>
<span>radius = (900.m^2/s^2) / (15.4m/s^2) </span>
<span>radius = 58.4m</span>
The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true
Latansha's equation of the circle is wrong
<h3>How to determine her error?</h3>
The given parameters are:
Center = (a,b) = (0,-2)
Radius, r = 7
The equation of a circle is:

This gives

Rewrite as:

In Latanya's first step, we have:

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong
Hence, Latansha's error is that she determine the equation of the circle, wrongly.
Read more about circle equations at:
brainly.com/question/1559324
First, find the difference between each number in the sequence.... 34 - 25 = 9. 25 - 16 = 9 and 16 - 7 = 9... So, there is a constant difference of 9 between each number of the sequence. To find the 30th term, you could expand the sequence out to 30 (which is a good way to check your answer, but tedious)... So, simply add the 1st value of the sequence to the difference and multiply by 30 to find your 30th value.... 7 + 9 x 30 = 16 x 30 = 480.
Therefore, the 30th term is 480.
<span>A radius of a circle is perpendicular to a chord if and only if it bisect the chord.</span>
Answer=12.6
QR=9
QP=6
TU=19
TS=?
The triangles are similar, so the following equation can be made
9 6
____=____
19 x
Cross multiply
9x=114
divide both sides by 9
x=12.6 (with the 6 repeating) or 12 2/3
TS=12.6