$7.56 is the answer to your question
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:
x=1/2 or 0.5
B. 0.5
Step-by-step explanation:
Step one: Add x to both sides
you then get the equation 7=4x+5
Step two: subtract 5 from both sides
you then get the equation 2=4x
Divide both sides by 4 to undo the multiplication.
2/4=4x/4x
you get x=2/4 which simplifies to 1/2.
Consecutive even integers are 2 apart
they are
x,x+2,x+4
total sum is 60
x+x+2+x+4=60
3x+6=60
minus 6 both sides
3x=54
divide both sides by 3
x=18
x+2=20
x+4=22
the ages are
18,20,22
