Math
Left hand side - sec(2x)csc(2x)= 1/ cos(2x) 1/sin(2x) = 1/(Cos2x)* 1/(2 Sinx Cosx) Right Hand side = 1/2Sinx Equating LHS & RHS 1/{Cos2x}* 1/(2 Sinx Cosx) = 1/2Sinx or 1/{Cos2x}* 1/cos x = 1 or {Cos2x}* Cosx = 1 this actually only holds true for x = 0 and x = 2pi
science PLEASE HELP URGENT:(
kg--->g/1000, to get kg on the top of the fraction divide "g" by 1000 m^3 ----> (100cm)^3 = 1000000cc = 1000000ml ml = m^3/1000000 so 4g/ml = 4* 1/1000*1000000 kg/(m^3) = 4 * 1000000/1000 = 4000kg/m^3
Math
interest - P* R * t /100 P = $7915 R = 9% t = 9 months = 9/12 yrs = 0.75 I = 7915*9*0.75/100
12th grade Physics
Force required to accelerate the car vertically = m * (v^2) = 1200 * (0.8^2) = 1200 * 0.64 This force will be equal to the tension on the rope.
Math
divide by 5 27 56 30 divide by 3 9 56 10 divide by 2 9 28 5 answer is 5 x 3 x 2 x 9 x 28 x 5
Trig
look at it as a triangle Angle is 4 degree tan of 4 = Side opposite(10m)/ Side adjacent distance required = Side adjacent = 10 / tan 4
Calculus
V(t) = dS/dt = 18t^2 - 14t -9 Acceleration = dV/dt = 36t-14 Plug the value of "t" in the above and thats the answer
Physics
Potential energy at the topmost point = mg(2r) Kinetic energy at dip bottommost point= 1/2 m (v^2) so conservation of energy means mg 2r = 1/2 m(v^2) or 4rg= v^2 or v = 2sqrt(rg)
Prob/Stats
probability of an incorrect address = 5/100 to have atleast 1 incorrect address out of the 12 customers (choice of 1 out of 12 customers) 12C1 x (5/100) = (12!/ 1! 11!) (5/100) = 12 x (5/100) = 60/100 So for none to be incorrect it will be (1 - Prob of atleast one to be incor...
math
1st spot can be filled in 4 ways (Matt, Bob, Amy or John) 2nd spot can be filled in 3 ways (since 1st spot is now filled by one of the 4) 3rd spot will be filled in 2 ways 4rd spot will be filled in 1 way since the rest all spots are taken Total # of ways = 4 x 3 x 2 x 1 24 w...
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