20 points! And BRAINLIEST!
1 answer:
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Answer: square root of 10
Step-by-step explanation:
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}
<u><em>Answer:</em></u>
The bird will have traveled 403 meters in 13 seconds if it maintained a speed of 31 m/sec
<u><em>Explanation:</em></u>
<u>The equation that relates velocity, distance and time is:</u>
<u>This means that:</u>
distance = velocity * time
<u>In the given, we have:</u>
velocity = 31 m/sec
time = 13 sec
<u>Substitute with the givens in the above equation and solve for the distance as follows:</u>
distance = velocity * time
distance = 31 * 13
distance = 403 meters
Hope this helps :)