8:
A line can intersect a circle twice. So, two lines intersect one circle 4 times. Two lines can intersect two circles 8 times.
Hope this helps!
Using a Laplace expansion along the first column, we have

The determinant of a 2x2 matrix is trivial,

So we have

The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
Answer:
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Step-by-step explanation:
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<h2><u>TRUE</u> is the correct answer!</h2><h3 /><h3>10,000 - 99,999 = -89,999</h3><h3>Since it's a NEGATIVE number, it is smaller than zero.</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>