What is the equation linear function in point-slope form M=-1/5 and f(0)=7
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Answer: 25
Step-by-step explanation:
Since, Total creepy-crawly creatures = 20
Out of which 80% are flies and 20% are spiders,
Thus, the total flies = 80% of 20 = 16
And, The total spiders = 20% of 20 = 4
Also, we know that the number of legs of a spider = 8,
⇒ Total legs belong to spiders out of 20 creepy-crawly creatures = 4×8 = 32
Again, the number of legs of a fly = 6
Thus, the total legs belong to flies out of 20 creepy-crawly creatures = 6×16 = 96
Hence, Total legs = 32 + 96 = 128
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}
