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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
4369 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 20cm 2 , 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 used to solve...
AP
Answered by Abhiraj P. • Maths tutor
14327 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 30cm 2 , then we need to multiply the cross section by the length of the prism therefore, it should be 30x25, which is 750cm 2
KZ
Answered by Kevin Z. • Maths tutor
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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 = (b 2 + c 2 - a 2 )/2bc. Therefore, looking at the diagram, (15 2 + 9 2 - 9 2 )/2x15x9 = co...
IP
Answered by Imogen P. • Maths tutor
4537 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 into...
OW
Answered by Oliver W. • Maths tutor
3595 Views