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.
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.
Now that we have our example and definition out of the way, let's make out the factors.
12:
1 x 12
2 x 6
3 x 4
40:
1 x 40
2 x 20
4 x 10
5 x 8
60:
1 x 60
2 x 30
3 x 20
4 x 15
5 x 12
6 x 10
Now that we have our factors, let's look for the biggest number that they have in common.
They all share 4 as the biggest number.
Your GCF (Greatest Common Factor) is 4.
I hope this helps!
Answer:
Step-by-step explanation:
the answer is x<0
because
x-4+4<-4+4
Answer:
Step-by-step explanation:
i think its C sorry if its wrong
<h3>
Answer: 20</h3>
Explanation:
For any rectangle, the diagonals are the same length.
AC = BD
7x-35 = 3x+45
7x-3x = 45+35
4x = 80
x = 80/4
x = 20
