The length of the smaller leg is 3.79
<h3>How to determine the length of the smaller leg?</h3>
Represent the smaller leg with x.
So, we have:
-- Pythagoras theorem
This gives
2x^2 = 144/5
Divide by 2
x^2 = 72/5
This gives
x^2 = 14.4
Take the square root
x = 3.79
Hence, the length of the smaller leg is 3.79
Read more about right triangles at
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You already have the right Answer which is b
Answer:
$9.50 = .25x
Step-by-step explanation:
38 quarters
7/9 of 3/14 is 1/6.
Tell me if I'm wrong.
Hope this helps :)
One way to do it is with calculus. The distance between any point
on the line to the origin is given by
Now, both
and
attain their respective extrema at the same critical points, so we can work with the latter and apply the derivative test to that.
Solving for
, you find a critical point of
.
Next, check the concavity of the squared distance to verify that a minimum occurs at this value. If the second derivative is positive, then the critical point is the site of a minimum.
You have
so indeed, a minimum occurs at
.
The minimum distance is then
