For this case we must divide the following expression:

The expression can not be simplified. When dividing we have that its decimal form is given by:
3,201550
If we convert to a mixed number we have:

Verifying:

Answer:

Answer:
Ratio of Non Fiction : Fiction books = 7 : 6
Step-by-step explanation:
Total number of books checked out = 52
Number of fiction books checked out = 24
So, number of non fiction books = Total books - number of fiction books
Or, number of non fiction = 52 - 24 = 28 books
Now, ratio of Non Fiction : Fiction books = 28 : 24
Solving the ratio term in its lowest form, we get
The Ratio of Non Fiction : Fiction books = 7 : 6
Answer:
Step-by-step explanation:
If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant. But maybe you don't know it isn't and it's a "trick" to throw you off. Hmm...
Anyways, the half angle identity for tangent is

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.
If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5. That makes the missing side, by Pythagorean's Theorem, -3. Filling in our formula:
which simplifies a bit to
and a bit more to

Bring up the lower fraction and flip it to divide to get
which of course simplifies to
-3. Choice A.