Color(green)(sqrt3 / 2) sin ((2pi) / 3) = sin (pi - ((2pi)/3) )= sin ((3pi - 2pi) / 3) = sin (pi)/3 sin ((pi )/3) = sin 60 = sqrt3 / 2.
Answer: $450
Step-by-step explanation:
We can form an equation representing the problem. The question is essentially asking 60% of what is equal to $270. If we define that what as a variable 'x', we get the following:
Multiply both sides by 100:
Divide both sides by 60 to solve for the value of 'x':
Answer is 450 bucks
We can check this answer by taking 60% of $450. In principal, this should return the discount of $270.
Yup, it checks out
Answer:
x^3 -10x + 57
Step-by-step explanation:
If you are in college, this question is likely done with calculus.
a = 12
k = 0.2
v(x) = 0 at the maximum after differentiation
V(x) = kx(a - x)
The easiest way to do this is to remove the brackets.
V(x) = akx - kx^2 Substitute the constants
V(x) = 12*0.2*x - 0.2x^2
V(x)/dx = 2.4 - 0.4x = 0 at the maximum
2.4 - 0.4x = 0
0.4x = 2.4
x = 2.4/0.4
x = 6
If you don't know any calculus yet, you can do this by completing the square.