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Pythagoras: If you have a right angled triangle PQR, and length PQ=5cm, length QR=8cm (which is the longest length), then calculate length PR to two decimal places.

Pythagoras' theorem is: a^2+b^2=c^2 (a=short side, b=short side, c=longest side/hypotenuse, ^=squared). Now applying that to this question would mean that a=PQ, b=PR and c=QR. So we can use the figures gi...

PS
Answered by Pree S. Maths tutor
12253 Views

How many thirds are there in 12?

A third is 3 divisions of 1, for example cutting 1 muffin into thirds would give 3 pieces. So if you had 12 muffins and cut each muffin into 3 pieces you would have 36 pieces. Therefore there are 36 third...

PS
Answered by Pree S. Maths tutor
27615 Views

3 postitive whole numbers have a mean of 6. What is the greatest possible range of the numbers?

15: (x+y+z)/3 = 6 so, x+y+z = 18.Range = highest number - lowest number. For the max range, at least 1 of the numbers must be 1. 1,1,16. 16-1 = 15

JW
Answered by Jade W. Maths tutor
7485 Views

X^2+4x-21=0 Solve for x

Quadractics factorise into double brackets like (x-a)(x-b). We ave to find the facors of -21 which add to make +4. 7 and -3 suffice. (x-3)(x+7) Then x will be equal to 3 and -7 for the equation.

JC
Answered by James C. Maths tutor
5056 Views

Why does the second derivative tell us something about a function?

Because by looking at the second derivative of a function you are essentially looking at the rate of change of the rate of change. This carries useful information about a function's behaviour and in some ...

DJ
Answered by Daniel J. Maths tutor
4083 Views

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