Correct-o-mundo !
Everytime you add (or subtract ) 360 degrees to an angle, you are right back at your starting point (the original angle)
47 + 360 +360 = 767 degrees
47 - 360 = -313 degrees
I'll show you how to do the FIRST one....you shoyld be able to do the others....
(y-y1) = m(x-x1)
(y-4) = 3(x-(-1))
y-4 = 3x +3
y=3x+7 ta - da ! Go RP....try the others....
Using calculator arcsin (0.89) = 62.87 degrees (rounded to nearest hundredth)
Hypotenuse of the angle = sqrt (8^2 + (-7)^2) = sqrt(113)
sin is opp/hyp = -7/sqrt113
cos = adj/hyp = 8/sqrt(113) multiply numerator and denom by sqrt(113) to get 8 * sqrt(113) / 113
In quadrant IV cos is positive and sin is negative
(view cos as 'x' and sin as 'y' to help with these questions)
In quadrant 1 sin and cos are both POSITIVE
cos^2 + sin^2 = 1
(5/6)^2 + sin^2 = 1
sin^2 = 1- 25/36
sin^2 = 11/36
sin = sqrt(11) / 6 (the positive sq rt of 11/36)
Circumference = pi * 2r The fraction of the total circumference will be 36pi/(pi*2r)
2 pi radians in complete circle
36 pi /(pi *2r) * 2 pi = 3pi/4 Radians
1. -230 degrees = +130 degrees = quadrant II
2. Circumference = pi * d
32pi = 240/360 pi *d
32 (360/240) = d = 48 r = 1/2 d = 24 units
You could round it to 6.2 m/s if the question asked to round the answer to the nearest tenth (or if that is one of your choices for answer).
