No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.
Answer:
1) -2.13
2) 2.57
3) 33
Step-by-step explanation:
1)
3(8 + 5h) = -28 Distribute the 3
24 + 15h = -28 Subtract 24 from both sides of the equation
15h = -32 Divide both sides by 15 and round
h = - 2.13
2)
19 = 7(3n - 5) Distribute the 7
19 = 21n - 35 Add 35 to both sides of the equation
54 = 21n Divide both sides of the equation by 21
2.57 = n
3)
6s - 7s = -33 Combine the s's
-s = -33 Multiply both sides by -1
s = 33
Answer: 36,400
Step-by-step explanation:
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.