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what is the largest stick can you fit into a cylinder, if the radius is 3cm and the length is 24cm. To 2d.p

If the radius is 3cm then the diameter is 6cm. the largest stick would be the hypotonuse between the length ans the base and therefore pythagoras is needed.Stick Length= sqrt(radius 2 +lenght 2 ) = sqrt(6 2 ...
EE
Answered by Elizabeth E. Maths tutor
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Solve the inequality x^2 – 5x – 14 > 0.

In order to solve this, the quadratic must be factorised. This means we're trying to get the equation into the form (x+a)(x+b)>0 where a and b are constants where a x b = -14 and a + b = -5. This turns ou...
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Answered by Marcus P. Maths tutor
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A bag contains 8 oranges, 9 pears and 13 apples. What is the probability a pear is picked?

The probability of an event happening is defined as the number of outcomes you're looking for (in this example the number of pears, 9) divided by the total number of outcomes (i.e. the total number of fruit ...
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Answered by Marcus P. Maths tutor
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Expand the following brackets: a) 4(x+3) b) 3(x-1)-2(x+5) c) (y-3)^2 d) (y-2)^2 + (y+3)^2

a) 4x + 12 For this question you must expand out the bracket by multiplying the subjects within by the number at the front. 4x + (4 x 3) = 4x + 12 b) x - 13 Although this question looks more confusing, you s...
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Answered by Jasmin F. Maths tutor
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Find the equation of the tangent to the curve y = x2 -3x +5 at the point (1,3).

Find the equation of the tangent to the curve y = x 2 -3x +5 at the point (1,3).The tangent is a straight line of the form y = mx+cTo find the gradient, m, we first differentiate the function:dy/dx = 2x -3Th...
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Answered by Tilly D. Maths tutor
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