Step-by-step explanation:
cotθcosθ=1tanθ⋅1cosθ
Answer:
x=52
Step-by-step explanation:
One of the properties of parallelograms is that angle A = Angle C
5y-54 = 3x eq1
Another property of parallelograms is that angle A + angle B = 180 degrees
5y-54+2y-60 = 180
7y = 180+114 = 294
y = 42
Putting this value in eq1
3x = 5*42-54 = 210-54 = 156
x = 52
Answer:
40%
Step-by-step explanation:
Percent markup = new price - original price/original price
Do the subtraction first.
58.80 - 42.00 = 16.80
Now do the division
16.8/42 = 0.40
Change the decimal to a percent by moving the decimal two place to the right.
0.40 = 40%
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
