Hank is 9 years old. Explanation - What I did is I made a chart, and the categories were Sam and Hank. Then all I did was add 5 to Sam's age and added 3 to Hank's age. I repeated this until the sum of the ages equaled 24.
Answer:
y= -7
Step-by-step explanation:
I'm not sure if this is what you are looking for but here you go!
If the equation is set equal to zero.
2+(5+y)=0 This is the original expression, we need to find the value for y.
5+y= -2 We move the two to the right to remove it from the left side of
the equation.
y= -7 We repeat the same thing as we did in the last step, except
with the value 5. This then gives us our y-value, which is -7.
I hope this helps!
0.00604662
Or
59049/3125^2
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.