Answer:
26
is the answer to the question
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.
Answer:
<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Proportion of patrons that are male at Joe's restaurant = 1/4
Proportion of patrons that are from out of town at Joe's restaurant = 1/5
2. What proportion would you expect to be male and out of town?
For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:
Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant
<u>1/4 * 1/5 = 1/20 </u>
<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Ghi=j
h/gi=j/gi
h=j/gi
the sign "/" means divide by
<span>(2^1/2x2^3/4)^2
</span><span> ((2^1/2)(2^3/4))^2
</span> ((2^1/2)^2)((2^3/4)^2)
(2)(2^3/2)
(4*2^3)^(1/2)
(2*2*2^3)^(1/2)
(*2^5/2)
The answer for this case is
b. <span>sqrt 2^5</span>