Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
Answer:
1.03 increase
Step-by-step explanation:
you just do 14 - 11 which equals 3
then because it's a positive answer, it means its a percentage increase and an increase is add on it 1.0 meaning its 1.03
30 + 4x + 2 + 180 - (8 + 6x) = 180;The sum of all angles in a triangle is 180
32 + 4x - 8 - 6x = 0
2x = 24
x = 12
Bolded part, explanation: On a straight line, the sum of all angles is 180 degrees. We have the value of outside the triangle, the exterior angle, which, when is added with interior angle, gives 180 degrees. So we substract 8 + 6x from 180, that's the third angle in a triangle.
Three quarters, or 75% of an hour. An hour is 60 mins, so it can be expressed as 45/60, which simplifies into 3/4.
