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, -2/7
Step-by-step explanation:
You could use the quadratic equation but this can be factored into
(7x + 2) (x - 1). You can verify that by multiplying it out.
Since (7x + 2) (x - 1) = 0, if either factor is 0 then the equation would be equal to 0, thus we get x = 1, -2/7
The length of one side of his bedroom would be 16 feet.
The formula for area of a square is length x width and all four sides of a square are equal in length.
In this case 16x16 is equal to 256
Answer:
13
Step-by-step explanation:
This question is incomplete. Harlem sells 500 square feet at $750
cost per square foot = 500/750 = $1.50
10% of $1.50 is 0.15
cost per square foot - 10% discount = $1.50 - $0.15 = $1.35
Therefore, Guillens cost for 700 square foot is $1.35 * 700 = $945
