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A 10 kilogram block slides down a 30 degree inclined slope, the slope has a coefficient of friction of 0.2. Calculcate the blocks acceleration down the slope.

Resolving all forces in the vertical gives the normal force as 10gcos(30). Resolving all forces normal to the slope gives the frictional force as 2gcos(30) (given Friction = mu*R). Using second law, F=ma. 10...
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Answered by Frederick R. Maths tutor
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3/5 of a number is 162. Work out what 4/5 of the same number is.

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Answered by Maths tutor
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Expand the brackets? (x+4)(2x-3)

Create a smiling face with arrows between the terms and then go through and multiply the terms together.(Diagram of the smiling face)(x+4)(2x-3) = 2x 2 - 12 - 3x + 8x = 2x 2 + 5x - 12Then simply reorganise t...
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Answered by Tim R. Maths tutor
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Solve: 3x+5y=19 4x-2y=-18

These are simultaneous equations and we need to find the value of X and Y. We can use the elimination method. The coefficients (the amount the letter is being multiplied by) of X and Y do not match. First, w...
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Answered by Charlotte L. Maths tutor
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How do I maximise/minimise a given function f(x)?

To find an extreme point of a function you must first take the derivative of f(x) with respect to x. As the function will peak/trough at the extreme point, the gradient at this point will be equal to 0 and t...
Answered by Maths tutor
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