Answer:
what statements?
Step-by-step explanation:
Answer:
![\theta=60\degree](https://tex.z-dn.net/?f=%5Ctheta%3D60%5Cdegree)
Or
![\theta=\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B%5Cpi%7D%7B3%7D)
Step-by-step explanation:
We want to find the angle which forms a y-coordinate of ![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
on the unit circle.
The y-coordinate on the unit circle is given by
.
This implies that ![\sin(\theta)=\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Csin%28%5Ctheta%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
![\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctheta%3D%5Csin%5E%7B-1%7D%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%29)
![\Rightarrow \theta=\sin^{-1}(\frac{\sqrt{3} }{2})](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctheta%3D%5Csin%5E%7B-1%7D%28%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%29)
![\Rightarrow \theta=60\degree](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctheta%3D60%5Cdegree)
Or
![\theta=\frac{\pi}{3}](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cfrac%7B%5Cpi%7D%7B3%7D)
$60.71! Add $35 and $22 together, which is $57. Multiply that by 6.5% (0.065), which produces 3.705, which rounds down to $3.71. Add $3.71 to $57, and voila!
(3, -2)
Step-by-step explanation:
y = -2x + 4
-x + 3y = -9
-x + 3 (-2x + 4) = -9
-x + -6x + 12 = -9
-7x = - 9 – 12
-7x = - 21
X = 3
We substitute x with 3 to evaluate y;
-3 + 3y = -9
3y = -6
y = -2
Elimination Method;
y = -2x + 4
-x + 3y = -9
We arrange the equations for substitution;
2x + y = 4
-x + 3y = -9
We multiply the first equation with 3 so we can substract one variable to zero;
3 (2x + y = 4)
= 6x + 3y = 12
Then we subtract the two;
6x + 3y = 12
-x + 3y = -9
7x = 21
x = 3
We evaluate y by substitution x with 3 in one of the equation;
-x + 3y = -9
-3 + 3y = -9
3y = -6
y = -2
The final answer expressed as a coordinate point is;
(3, -2)
I am pretty sure it is a and b because they all are in a data relationship.