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A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.

In situations like this I would always find it best to draw a diagram with all the information we know labelled on it. Firstly, however, notice that our measurements are in different units. You can convert t...
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Answered by Gemma W. • Maths tutor
3738 Views

How do I multiply fractions?

This is simpler than you think when you break it down. Just multiply both the numerators (the top number of your fraction) together for the new numerator of the fraction in your answer. Then do the same for ...
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Answered by Ria M. • Maths tutor
3817 Views

Simplify, leaving your answer as a quadratic: (2x + 3)/(x+4) - (3x - 6) = 4

(2x + 3)/(x+4) - (3x - 6) = 4 Initial equationTimes all terms by (x + 4) (2x + 3) - (3x - 6)(x + 4) = 4 (x + 4)Multiply out the brackets (2x + 3) - (3x 2 + 12x - 6x - 24) = 4x + 16Remove from brackets by fac...
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Answered by Anya O. • Maths tutor
3900 Views

A quarter circle has a radius of 6 cm. Calculate the area of the quarter circle.

It is very easy to calculate the area of the whole circle and divide it by 4.The area of the whole circle can be calculated using the formula A = pi r 2 , where r is the radius of the circle and pi has a val...
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Answered by Ana D. • Maths tutor
10311 Views

Find the area of the rectangle, in cm, with width 4x and length (y+5). Then calculate the area for x = 7 and y = 8.

To start, we need to state that the area of a rectangle is the length multiplied by the width. Therefore, the area will be 4x multiplied by (y+5). Now to do this we need to expand the bracket. To expand the ...
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Answered by Toby P. • Maths tutor
3324 Views