We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
3
6
1
4
2
5
I hope this helps :)
Answer: the answer is 6
Step-by-step explanation:
Jamie has earned $80 +75 +145 +250 +80 = $630 so far this week. He needs to earn an additional $875 -630 = $245 to pay his bills.
If Jamie only has one last task, he must earn $245 on that task to pay his bills this week.
Answer:
Duration Recording
Step-by-step explanation:
This method records the percent of time or total time that a person exhibits a behaviour over a period of time. This type of measurement is normally used to measure behaviours that are exhibited at high rates. Normally the measurement are done from the onset of the behaviour to the moment the behaviour stops.
