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Make a the subject of 3(a+4) = ac+5f

Multiply out the brackets:

3a+12=ac+5f

3a-ac=5f-12

a(3-c)=5f-12

a=5f-12/3-c

AP
Answered by Abhiraj P. Maths tutor
3633 Views

A rectangle has an area of 20 cm2. Its length and width are enlarged by scale factor 3. Find the area of the enlarged rectangle.

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...

AP
Answered by Abhiraj P. Maths tutor
12078 Views

The area of the cross section of a prism is 30 cm2 . The length of the prism is 25 cm. Work out the volume of the prism.

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

KZ
Answered by Kevin Z. Maths tutor
13529 Views

ABC are points on a circle, centre O. AO=9cm, OC=9cm and AC=15cm. Find the angle ABC.

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...

IP
Answered by Imogen P. Maths tutor
3675 Views

Calculate the integral of (3x+3)/(2x^2+3x) between the limits 39 and 3

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...

OW
Answered by Oliver W. Maths tutor
2948 Views

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