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}
That's Roman numerals but it is 1636 not as Roman numerals hope I helped
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Answer:
It represents the cost of the DVD player.
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Step-by-step explanation:
The reason why it represents the cost of the DVD player is because in the question, it doesn't mention anything about buying multiple DVD players. Ebony would need to buy many DVD's, but doesn't need many DVD players because ebony could use one for all of the DVD's. If you noticed in the question, it says "a DVD player," what this means is that Ebony is only going to buy one DVD player, since it's singular (without and s at the end).
The equation is saying that she starts off with buying 1 DVD player for 200 dollars; and, she is buying n (number of DVDs) for 20 dollars each.
This shows that the 200 in the equation in the question represents the cost of the DVD player.
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Answer:
500 grams
Step-by-step explanation:
Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:
30% * x = 150
Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:
0.30 * x = 150
Divide both sides by 0.30:
x = 500 grams
Hope this helps!
Answer:
2.15cm^3
Step-by-step explanation:
V = Mass / Density
21.93g / 10.2g/cm^3
2.15cm^3