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Consider a right-angled triangle with an inside angle of 30° and a hypotenuse of 8cm. Calculate the length of the opposite side to the 30° angle.

Recall the trigonometry rule SOH/CAH/TOA (Silly Old Hitler Couldn't Advance His Troops Over Africa).

Label: Draw the triangle and label the sides with Hyp, Opp & Adj.

Answered by Joshua L. • Maths tutor

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There is a cube with a length 3x. The expression for the volume in cubic centimeters is equal to the expression for the surface area in square centimeters. Calculate the length of a side of the cube.

volume = SA (3x)³= (3x)² x 6 27x³ = 9x² x 6 27x³ = 54x² 27x = 54 27x - 54 = 0 27(x - 2) = 0 x - 2 = 0 x = 2 The question asks for the len...

Answered by Sofia D. • Maths tutor

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How do you 'complete the square' of a quadratic equation?

To complete the square, we need to rearrange the quadratic equation in the form of ax² + bx + c into the form r(x + p)² + q, where our task is to find the values of the unkowns of r,...

Answered by Ryan B. • Maths tutor

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These are the selling prices of 5 houses in 2007: £145 000, £170 000, £215 000, £90 000, £180 000 (a) Work out the mean selling price.

The mean is also known as the average. To work out the mean you need to add all the house prices together and then divide by the number of houses. So in this example the total price of the houses is 14500...

Answered by James P. • Maths tutor

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