The equation of a mirror in a particular telescope is y= (x^2)/(520), where x is the radius (in cm). If the mirror has a diameter of 32 centimeters, what is the depth of the mirror?
radius = x = 16
y = 16^2/520 = 256/520 = .4923 cm
thank you!
To find the depth of the mirror, we need to determine the value of y when x is equal to half of the diameter.
Given that the diameter is 32 centimeters, the radius (x) would be half of that, which is 16 centimeters.
Substituting x = 16 cm into the equation y = (x^2)/520, we can solve for y.
y = (16^2)/520
y = 256/520
y ≈ 0.4923
Therefore, the depth of the mirror is approximately 0.4923 centimeters.