Physics
V = 3.37mi/h[180o-62.5o] + 1.25mi/h[0o] V = X + Yi V = (3.37cos117.5+1.25)+i3.37sin117.5 V = (-1.56+1.25) + 2.99i V = -.306 + 2.99i = 3.0mi/h[95.84o] tan(95.84-90) = d/0.59 d = 0.59*tan(5.84) = 0.0603 mi=319 Ft.
Physics
Wc = m*g = 32.5kg * 9.8N/kg = 318.5 N.= Wt. of crate. Fc = 318.5N [0o] Fp = 318.5*sin(0) = 0 = Force parallel to surface. Fv = 318.5*cos(0) = 318.5 N. = Force perpendicular to surface. a. Work = F*d = 150 * 4.95 = 742.5 Joules. b. Fap-u*Fv = m*a 150-Fp-u*Fv = m*a 150-0-318.5u ...
Math (Percentage)
$X = Store's cost. Selling Price = X + 0.5X X + 0.5X = 300 1.5x = 300 X = $200 100%-30% = 70% Employees Cost = 0.7 * 200 = $140.
physics
C = pi * 2r = 3.14 * 31 = 97.4 In=8.1Ft. d = 58rev * 6.28rad/rev = 364.24 Rad. V=80mi/h*5280Ft/mi*6.28rad/8.1Ft*1h/3600s = 91 rad/s. = Vo. V^2 = Vo^2 + 2a*d a = (V^2-Vo^2)/2d a = (0-(91)^2)/728.48 = -11.4 rad/s^2
physics
h = 8steps * 0.4m/step = 3.2 m. Ep = mg*h = 90kg*9.8N/kg * 3.2 = 2822.4 Joules.
Math
V(t) = 120sin(120*pi*t) V(t) = 120sin(377t) 377*t = The angle in radians. B. Vmax=120sin(377*1/240)=120sin(90o)= 120 Volts. C. Vmin=120sin(377*1/80)=120sin(270o)= -120 Volts. D. 0, 1/120, and 1/60 Seconds. E. 120sinA = 60 sinA = 60/120 = 0.5 A = 30o. t=(30o/360o) * 1/60 = 1/36...
Physics--please help!!
(V+Vr)/(V-Vs) * Fo = 355 Hz (340+0)/(340-Vs) * 320 = 355 108800/(340-Vs) = 355 355(340-Vs) = 108800 340-Vs = 306.48 Vs = 340-306.48 = 33.5 m/s. = Velocity of source or vehicle. Vr = Velocity of receiver or person.
Physics
Fp = 80*sin37 = 48.1 N. = Force parallel to incline. The force that moves the box up the incline is parallel to the incline. Fap/sin37 - Fp = ma Fap/sin37 - 48.1 = m*a = m*0 = 0 Fap/sin37 = 48.1 Fap = 48.1*sin37 = 29 N.=Force applied.
algebra
Multiply both sides by 4: a. 32--7x-3 -24+8x = 0 x + 32-27 = 0 X = -5.
math
Octagon = 360o/8angles = 45o/angle, Hexagon = 360o/6angles = 60o/angle. 60 - 45 = 15o Increase.
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