What picture theres no pic
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.
The range is the output, which would be the Y value.
The Y value would be calculated based on the input value for x.
any positive number raised to any value of x would be a positive number so 0.5^x would always be positive.
That would be multiplied by 4, which is a positive value, so the output ( Y value) would always be positive.
The range for this would be (0,∞)
Figures of same shape and size are similar .Two circles C1&C2 will be similar.
Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.
The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.
2) Area of sector =
÷360.
Where α is the angle made at center.
Area of given sector= π(12)(12)(60)÷360 =24π.
Answer:
24
Step-by-step explanation:
2.5 divided by 2.5 equals 1. So 60 divided by 2.5 equals 24.