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A prism with a triangular cross section has volume 120cm^3. The base of the triangular face has length 6cm. The width of the prism is 10cm. The height of the triangular face is h. Find h.

Cross sectional area: half base x height = (6/2) h = 3h , Volume of prism: Cross sectional area x width, this gives: 3h 10 = 120, rearrange: 3h = 12, Find h: h = 4cm.
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Answered by Jake V. • Maths tutor
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Factorise fully: 3x - 9x^2

3x(1-3x)
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Answered by Jake V. • Maths tutor
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Part 1 of a test has 60 marks, Part 2 has 100 marks. James scores 75% on part 1 and 48% on part 2. To pass the full test, he needs 60% of the total marks, does he pass?

75% of 60: 0.75 60 = 45 , 48% of 100: 0.488 100 = 48 , His total marks: 45+48 = 93 , Total marks available: 100+60 = 160 , His final percentage: 93/160 = 0.58125 0.58125*100 = 58% , Therefore, he does not pa...
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Answered by Jake V. • Maths tutor
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Evaluate whether a tax on petrol in the UK would reduce the demand for cars.

A specific tax is a fixed amount levied on purchases of a commodity. These are often used by the Government to reduce the quantity demanded of goods that produce a negative externality, which means that the ...
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Answered by Jodie G. • Economics tutor
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Explain what is meant by the term ‘TCP/IP stack’ [3]

The TCP/IP stack is the Transmission Control Protocol / Internet Protocol. (1)A Protocol is a set of rules (1) the outline the ways in which data should be set out to make sure it can be understood. Both the...
AS
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