Answer:
Yes, any pair of complementary angles add up to 90 degrees. By simply using 90-x you can find the other angle.
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
Answer:
75 dollars
Step-by-step explanation:
If an item is 50 and you want to markup 50%, you must find 50% of 50 to find how much the item will go up by from 50.
So 50% of 50 means 50% times 50.
50%=.5 or 1/2
So .5(50)=25.
The item is going up by 25 dollars.
So we started at 50 dollars.
So 50+25 is going to be the new amount.
50+25=75 is the new amount.
Answer:8 times 4+12+= 44
Step-by-step explanation:
8 times 4 gives you 32 then add 12 to get 44
