Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
x=1+√5 ,1−√5
We know that : Sin²θ + Cos²θ = 1
Given : Sinθ ![\bf{= \frac{4}{7}}](https://tex.z-dn.net/?f=%5Cbf%7B%3D%20%5Cfrac%7B4%7D%7B7%7D%7D)
![\bf{\implies (\frac{4}{7})^2 + Cos^2(\theta) = 1}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20%28%5Cfrac%7B4%7D%7B7%7D%29%5E2%20%2B%20Cos%5E2%28%5Ctheta%29%20%3D%201%7D)
![\bf{\implies Cos^2(\theta) = 1 - \frac{16}{49}}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20Cos%5E2%28%5Ctheta%29%20%3D%201%20-%20%5Cfrac%7B16%7D%7B49%7D%7D)
![\bf{\implies Cos^2(\theta) =(\frac{49 - 16}{49})}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20Cos%5E2%28%5Ctheta%29%20%3D%28%5Cfrac%7B49%20-%2016%7D%7B49%7D%29%7D)
![\bf{\implies Cos^2(\theta) =(\frac{33}{49})}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20Cos%5E2%28%5Ctheta%29%20%3D%28%5Cfrac%7B33%7D%7B49%7D%29%7D)
![\bf{\implies Cos(\theta) = (\pm)(\frac{\sqrt{33}}{7})}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20Cos%28%5Ctheta%29%20%3D%20%28%5Cpm%29%28%5Cfrac%7B%5Csqrt%7B33%7D%7D%7B7%7D%29%7D)
Given : θ lies in Quadrant II
We know that : Cosθ is Negative in Quadrant II
![\bf{\implies Cos(\theta) = (-)(\frac{\sqrt{33}}{7})}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cimplies%20Cos%28%5Ctheta%29%20%3D%20%28-%29%28%5Cfrac%7B%5Csqrt%7B33%7D%7D%7B7%7D%29%7D)
Option 3 is the Answer
1,200 divide by 600 = 2 students
2 students multiply by 50% is 100 students.
So, approximately 100 students ride their bicycles home.
(If not correctly, I am truly sorry)
Answer:
rose$7 shrub $11
Step-by-step explanation:
5r+3s=68
1r+14s=161
I will multiply the second by -5 to eliminate r variable
5r+ 3s= 68
-5r- 70s = -805
-67s = -737
Divide both by -67
s= 11
14*11=154
161-154 =7
5*7 + 3*11 = 68
35+33 = 68
7+ 14*11 = 161
7+154 = 161
Answer:
The answer would be (3,-2)
Step-by-step explanation:
At the location of (3,-2), if you went upwards 6 units, you would be at the Marigolds. If you went to the left 5 units, you would be at the Lavender. Therefore, (3,-2) is the correct answer.