Reference angle is the angle that is formed by the the terminal side of teh angle and the horizontal line or the x-axis. The reference angles of the different quadrants can be determined using the formula correspondingly:
Quadrant 1: RF = actual angle
Quadrant 2: RF = actual angle - 90 = actual angle - pi/2
Quadrant 3: RF = actual angle - 180 = actual angle - pi
Quadrant 4 : RF = actual angle - 270 = actual angle - 3/4 pi
The first thing to do is to determine the quadrants of each angle and then apply the formula:
a. 19 pi /4 = 855 deg = 2nd Q = 135 + 45 = 180 (correct)
b. 15 pi/4 = 675 deg = 4th Q = 315 + 45 = 360 (correct)
c. 7 pi/4 = 315 deg = 4th Q = 315 + 45 = 360 (correct)
d. 12 pi/4 = 540 deg = x axis = not correct
Answers are A, B and C.
Answer:
where is the answers
Step-by-step explanation:
The partition point is (-7/2, 23/4)
<h3>How to determine the
partition point?</h3>
The given parameters are:
(x1,y1) = (-6,-1)
(x2,y2) = (4,8)
a = 1 and b = 3
The partition point is calculated as:
(x, y) = ((bx1 + ax2)/(a + b) ,( by1+ay2)/a+b)
So, we have:
(x, y) = ((3 * -6 + 1 * 4)/(1 + 3) ,(3 * 8 + 1 * -1)/1+3)
Evaluate
(x, y) = (-14/4, 23/4)
Simplify
(x, y) = (-7/2, 23/4)
Hence, the partition point is (-7/2, 23/4)
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Answer:
Non-linear: red graph, table 3, table 1
Linear: blue graph, green graph, table 2
Step-by-step explanation:
The blue and green lines are straight lines, so they are linear. The red line is curved, so that is nonlinear.
I plotted out the data from each table on a graph. Tables 1 and 3 both curve when the points are connected, and table 2’s points form a straight line when connected. I am sure there is a mathematical formula to use on these tables, so the drawing wouldn’t have been required. But I knew this would at least get the answers.
Hope it helped.
I am pretty sure the answer is 60 because 145 divided by 29 is 5 you multiply by 12 you get 60