120° will be found on in the second quadrant of the unit circle. Specifically, the reference angle will be 60°. This is because the angle measurement starts from the positive x axis, and rotates 120° counter-clockwise. The angle formed at this point between the line and the x-axis (negative direction) is 60°.
The special right triangle formed will have a hypotenuse of 1, and a reference angle of 60°.
We know that the adjacent line, the line opposite the 30° angle, will be 1/2 the hypotenuse, or -1/2. Negative because it goes in the negative x direction.
The opposite end, or vertical side, will be √3/2.
sin(120) = opposite/hypotenuse = √3/2 ÷ 1 = √3/2
cos (120) = adjacent/hypotenuse = (-1/2) / 1 = -1/2
tan (120) = opposite / adjacent = (√3/2) / (-1/2) = -√3
X = pay and y = hours worked
direct variation equations are of the form:
dependent variable = k(independent variable)
we need to find k, the constant of variation
x = ky
49.40 = 6.5k
7.6 = k
EQUATION: x = 7.6y
PAY for 25 hours: x = 7.6(25) = 190 or $190
Keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".
Answer:
0.03865
Step-by-step explanation:
Since the true density for the two types of trees are given, we would evaluate the average for both of them
Low percentage of juvenile wood density = 0.523 and 0.0543
Average density = 0.523 + 0.0543/2
Average density = 0.55015
Moderate percentage of juvenile wood density = 0.489 and 0.0450
Average density = 0.489 + 0.0450/2
Average density = 0.5115
Therefore, difference in true average density for the two woods are = 0.55015 - 0.51150
= 0.03865
Answer:
A. 13 1/5
Step-by-step explanation:
=10 3/5 + 2 3/5
=53/5 + 13/5
=66/5
=13 1/5
