Answer:
Step-by-step explanation:
The formula to calculate the surface area of a sphere is the following:
Where A is the area of the sphere and r is the radius of the sphere.
In this case we know that the diameter d of the sphere is:
The diameter is:
.
Thus
Then the surface area of the sphere is:
Set up a system of equations first
W: number of women
M: number of men
50=w+m
3m-2=w
Solve in by plugging in one equation into the other
50=(3m-2)+m
50=4m-2
52=4m
m=13
So if m=13 plug it bag into one of the two equations at the beginning
50=13+w
W=37 women
Minimum value is equal to x=8, y=-4
First find the derivative of the original equation which equals= d/dx(x^2-16x+60) = 2x - 16
at x=8, f'(x), the derivative of x equals zero, so therefore, at point x = 8, we have a minimum value.
Just plug in 8 to the original equation to find the answer for the minimum value.
Answer:
m∠3 = 115 degrees
Step-by-step explanation:
angle 6 and angle 8 are on a straight line
we know that sum of angles on straight line is 180
therefore
m∠8 = x+5
m∠6 + m∠8 = 180
2x - 5 + x+5 = 180
=> 3x = 180
=> x = 180/3 = 60
Thus,
m∠6 = 2x-5 = 2*60 - 5 = 115
we know that for two parallel lines cut by a transversal
alternate opposite angles are equal
m∠6 and m∠3 are alternate opposite angles
thus
m∠6 = m∠3 = 115 (answer)
I think it’s b I’m not sure absgjbfghjjk Chubb
