physics
potential energy at horizontal = m g h = m (9.81)(.50-.27) = 2.26 m Joules kinetic energy at vertical = (1/2)I omega^2 I = m (1/12)(1^2) + m (.23)^2 = m (.136) so I omega^2 = .136 m omega^2 omega^2 = 2.26/.136 omega = 4.08 radians/second
physics
a = dv/dt = (265-340)/60 = -1.25 rev/sec v = Vi + a t 0 = 265 - 1.25 t t = 212 seconds
physics
m g h 8 * .4 = 3.2 meters up 90 * 9.81 * 3.2 Joules
Related Rates
dy/dt = dy/dx * dx/dt but dy/dx = 2x so dy/dt = 2 x dx/dt so when 2 x = 1 (when the slope = 1 of course) x = 1/2 then y = 1/4 x = sin t when is sin t = 1/2 when t = 30 degrees or pi/6 radians dx/dt = cos t = cos 30 = (sqrt 3 )/ 2 dy/dt = 2 sin t cos t = 2(1/2)(sqrt 3/2) sure e...
Functions?
x y -1 8 +3 0 +7 -8 +9 -12
Pre-Calculus
say you wanted to multiply x by x using logs You would add log x to log x which would be 2 log x so I claim that log x^2 = 2 log x Similarly log x^5 = log x + log x + log x + log x + log x = 5 log x log 5^-1 = -1 log 5 = - log 5 log 7^-2 = -2 log 7
MATH
probability of first boy = 4/9 probability of second boy = 3/8 so 4/9 * 3/8 = 3/18 = 1/6
algebra
say we sold for 100 dollars we made 28 dollars and it cost 100 -28= 72 dollars so we made 28 dollars on an item costing us 72 dollars 28/72 = .388 = 38.8 %
math
If your radius is to the center of each side then tan (360/2n) = 5/13.07 180/n = 20.93 n = 8.59 sides I doubt if that is what it means so use my previous answer.
math
If your radius is to the corners, then 10 = 2* 13.07 sin (180/n) sin (180/n) = .382555 180/n = 22.5 n = 8 sides 360/8 = 45 = top angle of each isoceles triangle half of that has hpotenuse of 13.07 and base of 5 area of each of those 16 triangles = (1/2) (5)(13.07 cos 22.5) = 3...
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