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Multiply out the brackets:
3a+12=ac+5f
3a-ac=5f-12
a(3-c)=5f-12
a=5f-12/3-c
Firstly, look at the given area of the rectangle. As this is 20cm2, the length and width of the rectangle could be a combination of 20 and 1; 10 and 2 or 5 and 4. Any of thse options could be u...
If the cross section is 30cm2, then we need to multiply the cross section by the length of the prism therefore, it should be 30x25, which is 750cm2
Diagrams would be used to help visualise the answer. To find the angle OAC, the cosine rule needs to be used: cosA = (b2 + c2 - a2)/2bc. Therefore, looking at th...
The first step is to split the fraction into 2 separate fractions using partial fractions techniques. Write 3x+3/2x^2+3x as A/x + B/2x+3 and solve to get A = 1, B = 1. We have now converted 3x+3/2x^2+3x i...
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