Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a rectangle plus the area of two triangles
<u>Find the area of rectangle</u>
Observing the graph
The area of rectangle is equal to
<u>Find the area of the top triangle</u>
<u>Find the area of the bottom triangle</u>
the area of the figure is equal to
Answer:
Angle 3= 135
Step-by-step explanation:
Angle 3=Angle 1 because they are corresponding angles meaning they are equal and on the same side of the traversal.
Hope this helped and the answer was right in the question
<span>if x = 3 and 3 = y, then x = y is the transitive property.</span>
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}