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A rectangle has an area of 20 cm^2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.

Area Scale Factor = (Scale Factor)²

If the scale factor is 3 then:

ASF = 3²

ASF = 9

Area of enlarged rectangle = 20x9

Area of enlarged rectangle = ...

Answered by Melanie U. • Maths tutor

4097 Views

Rearrange the formula: m = 2ab/4c+b to make b the subject

m = 2ab/4c+b [times both sides by (4c+b)]

m(4c+b) = 2ab (expand the bracket)

4cm+bm = 2ab (take away bm from both sides)

4cm = 2ab - bm (take out b as the common factor)

4cm = ...

Answered by Melanie U. • Maths tutor

5586 Views

What is eutrophication? Explain how this process can cause harm to the environment, particularly when farmers apply fertiliser to their land.

Eutrophication describes a process wherein a substance containing excessive levels of nutrients, in this case fertiliser, is applied to land and leaches off into nearby bodies of water (often as a result ...

Answered by James C. • Biology tutor

2423 Views

The line L passes through the points (-2,3) and (6,9). How do I find the equation of the line that is parallel to L and passes through the point (5,-1)?

Find the gradient of line L. The gradient can be defined as the "change in y" divided by the "change in x". For this situation, the "change in y" would be 9 - 3 = 6. Th...

Answered by Justin C. • Maths tutor

13976 Views

Prove that an angle subtended by an arc is double at the centre then at the perimeter.

After drawing, bisect the perimeter angle in two from the centre. We now have two isosceles triangles with the sides the same length (1 radius from the centre). We know that 2 angles in each triangle add ...

Answered by Matthew P. • Maths tutor

7027 Views