Answer:
Option B
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = 
OP.Cosθ = 1×Cosθ = 
Cosθ =
θ = 
, 
where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = 
, where n = integer
Common value of θ will be, θ = 
Option B will be the answer.
Answer:
both are -10
Step-by-step explanation:
#1
x1 y1 x2 y2
1.5 180 6 135
(Y2-Y1) (135)-(180)= -45 ΔY -45
(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5
slope= -10
B= 195
Y =-10X +195
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#2
x1 y1 x2 y2
1 175 8 105
(Y2-Y1) (105)-(175)= -70 ΔY -70
(X2-X1) (8)-(1)= 7 ΔX 7
slope= -10
B= 185
Y =-10X +185
I think the most appropriate answer would be "-6.58".
I hope it helped you!
Answer:
13 square units
Step-by-step explanation:
The bounding rectangle is 4 units wide and 5 units high, so has an area of 4×5 = 20 square units. From that are subtracted the areas of 4 triangles. 2 of them are 3 wide and 1 high, so have a combined area of 3×1 = 3 square units. The other two are 1 wide and 4 high, so have a combined area of 1×4 = 4 square units.
Then the area of the parallelogram is ...
20 -3 -4 = 13 . . . . square units
We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11
