Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
Answer:
20%
Step-by-step explanation:
150 and 120 have a difference of 30
30 ÷ 150
.2 then multiply by 100
20 there is your answer
Hope this helped :)
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Equation of line passing through given points :
Let's proceed with two point form ~
![\qquad \sf \dashrightarrow \: y - y1 = \cfrac{y2 - y1}{x2 - x1} (x - x1)](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20y%20-%20y1%20%3D%20%20%5Ccfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%28x%20-%20x1%29)
Assume :
![\qquad \sf \dashrightarrow \: y - 3= \cfrac{3 - 3}{ - 4 - 6} (x - 6)](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20y%20-%203%3D%20%20%5Ccfrac%7B3%20-%203%7D%7B%20-%204%20-%206%7D%20%28x%20-%206%29)
![\qquad \sf \dashrightarrow \: y - 3= \cfrac{0}{ - 10} (x - 6)](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20y%20-%203%3D%20%20%5Ccfrac%7B0%7D%7B%20-%2010%7D%20%28x%20-%206%29)
![\qquad \sf \dashrightarrow \: y - 3 = 0](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20y%20-%203%20%3D%200)
![\qquad \sf \dashrightarrow \: y = 3](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20y%20%3D%203)
So, the equation of required line is : y = 3 ~
Answer:
![(\frac{1}{2} )^{2} =\frac{1^2}{2^2} = \frac{1} {4}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%20%29%5E%7B2%7D%20%3D%5Cfrac%7B1%5E2%7D%7B2%5E2%7D%20%3D%20%5Cfrac%7B1%7D%20%7B4%7D%7D)
When squaring a fraction, square both numerator AND denominator
Answer:
C. Lines with arrows that point outward radiate from the charge in all
directions.