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Question: What proportion of the clock is the area covered when the time is 12:10? (Here the question should indicate the time stated and shade in the proportion of the clock to be computed.)

The key to answering this question is for the student to realise that even though the area to be computed is a difficlut shape (an arc), the clock consists of 5 more arcs of the same shape. Once the student ...
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Answered by Annita V. • Maths tutor
4023 Views

Work out the value of 2a^2 + b^3 when a = 5 and b = –3

To work out the values you need to sub in a and b into the equation, giving you: 2(5) 2 + (-3) 3 From this we use the rules of BODMAS to first complete the orders and obtain: 2*25 + (-27). Again using BODMAS...
KM
Answered by Kyle M. • Maths tutor
5915 Views

Each day Chen buys pasta or a sandwich. Where Pasta costs £3.20 and Sandwich costs £2.75. For 45 days, the relative frequency of Chen buying a sandwich was one fifth. Altogether, how much did he pay?

Firstly work out how many days Chen bought a sandwich, which was one fifth of 45 days. So 45/5 = 9. We then multiply 9 by the cost of a sandwich, 9 2.75 = 24.75. The remaining days Chen must have bought Past...
KM
Answered by Kyle M. • Maths tutor
3947 Views

Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.

To begin we need to simplify the expression. First we multiply out (4x–5)^2 to get 16x 2 +40x+25 and then we multiply out 5x(3x – 8) to get 15x 2 -40x. This makes the whole expression 16x 2 +40x+25-(15x 2 -4...
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Answered by Hannah W. • Maths tutor
10370 Views

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

A curve crosses the x-axis when y=0, if we put that into the equation above we get the quadratic equation 0=8-4x-2x 2 . The solutions to this equation are the values of x where y=0, which is the same as sayi...
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Answered by Hannah W. • Maths tutor
8172 Views