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}
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.
1 pound = 16 ounces.
Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.
7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)
So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2.
16 divided by 2 = 8
That 1/2 pound of apples = 8 ounces.
So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)
So we add these back up in ounces
112 + 8 = 120.
So now we can conclude:
7.5 pounds of apples is 120 ounces
Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
Answer:
-0.78
Step-by-step explanation:
you would round the number up after you divide.
Answer: Thats technically a rhombus, but since thats not an option its a parallelogram
Step-by-step explanation:
Answer Is C.
