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.
<h3>
Answer: 51 square inches</h3>
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Explanation:
There are a few ways to do this. One way is to divide the figure as shown in the diagram below. I divided it into a rectangle and a triangle. Find the area of the rectangle and triangle, then add up those areas to get the final answer.
A = area of rectangle
A = length*width
A = 7*6
A = 42
B = area of triangle
B = 0.5*base*height
B = 0.5*(6-3)*(13-7)
B = 0.5*3*6
B = 1.5*6
B = 9
C = total area
C = A+B
C = 42+9
C = 51 square inches
Answer:
45% of students got hamburgers :)
Step-by-step explanation:
We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.
