Alright, let get started.
We have given the angle Ф as 7π/6.
And we are asked to find its reference angle (in dgrees)
So, we will first change 7π/6 from radian to degrees by multiplying 180/π
Ф = 7π/6 * 180/π
Ф = 7 * 180/6 = 210 degrees
Now, reference angle is the angle between X axis and the terminal side of given angle.
Please refer to the diagram attached.
The terminal side of angle 210 is lying in 3rd quadrant.
The angle between X axis and its terminal side is 210 - 180 = 30 degrees
Hence refernce agle of 210 degree or 7π/6 is 30 degrees. : Answer
We are also asked to find sin Ф
We could find it by using unit circle. sin 210 = - 1/2 Answer
Hope it will help :)
Your answer would be Y=-8x-9/10
2x + 3 = 18
Subtract 3 to both sides:
2x = 15
Divide 2 to both sides:
x = 7.5
Convert the equations to slope/intercept form:-
4x + 4y = 1
4y = -4x + 1
y = -1x + 1/4 The slope of this line is -1
x + y = -8
y = -1x - 8 This also has a slope of -1
So B is true. The lines are parallel.
Answer:
8 colors
Step-by-step explanation:
There should be at least 8 different colors available for coloring the sections. The one color is used to color all the small triangles on the upper most and lower most lines, then there will be required another color so that the edges does not matches with the previous color. For the bigger hexagon shapes in the center we will require different colors for all of them because all of the hexagon shapes touches a line and an edge with each other.
