10 feet are in 120 inches
The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
<u>Explanation:</u>
Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side
In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.
Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...
So,
When angle is 573° then the coterminal angle is
573° - 360 (1) = 213°
573° - 360(2) = -147°
573° - 360 (3) = -507°
Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
where
is the mean. Since
you have variance
and so the standard deiviation is
We have been given an equation of hyperbola 
. We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form 
, where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:
Now we can see that value of k is 
. Therefore, the vertex of given hyperbola will be at point 
and option D is the correct choice.
