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An Island on a map is measured to be 4cm across. The scale of the map is 4cm to 500m. How long is the island in km?

The island is 2km. If the scale is 1cm:500m we need to multiply both left and right sides by 4 to get to the 4cm that was measured. This gets us 4cm: 2000m . We now need to convert 2000m to km which gives...

DT
Answered by David T. Maths tutor
2617 Views

A right angled triangle has 2 known sides measuring 3 meters, 4 meters respectively. Find the hypotenuse and the smallest angle in the triangle.

This is an example of a pythagoras. The student has to use the knowledge that the hypotenuse (longest side) is the square root of the sum of the squares of the known sides. In this instance, it would be 4...

ZM
Answered by Zara M. Maths tutor
4180 Views

Find x and y when 3x + 4y = 27 and x + 2y = 11

Use the elimination method to remove a common coefficient.

Multiply one of the equations to find a common coefficient, eg multiply the second equation by 2 to get 2x + 4y = 22, to reach the common ...

ES
Answered by Eleanor S. Maths tutor
5847 Views

Find x when 2x^2 −x−6=0

The equation is: 2x^2 - x -6 =0

step 1. (2x) and (x)  now you need to separate out this equation into two further brackets. You start with the highest power of X, in this case ...

TP
Answered by Talia P. Maths tutor
2840 Views

How do I find the solution of the simultaneous equations x+3y=7 and 5x+2y=8

By looking at both equations you spot that the 'x' in the first equation has coefficient equal to 1, so it would be quite convenient to make 'x' the subject of the first equation and then substitute what ...

NB
Answered by Nicola B. Maths tutor
4576 Views

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