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A ladder 6·8m long is leaning against a wall, as shown in the diagram. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall. Give your answer to a sensible degree of accuracy.

There's a lot of information here so we should start out by drawing up a diagram. From this we can see that we have a right-angled triangle, and we know two of the angles and want to work out a third. Theref...
RS
Answered by Rohan S. • Maths tutor
5097 Views

Write the number 0.0534 in standard form (1 mark)

5.34 x 10 -2
CT
Answered by Christopher T. • Maths tutor
3831 Views

2x+y=18, x-y=6; Solve the simultaneous equations

2x+y =182) x-y =6(x-y=6) multiply by +22x-2y = 121) 2x+y = 182) 2x-2y=12 -subtract equation 2 from equation 10x-y=6 -Therefore -y=6 so y= -6Put value for y into either of the equation in order to find value ...
SW
Answered by Saskia W. • Maths tutor
5810 Views

Expand the following brackets: (2x + 1)(x + 3)

The FOIL technique (First, Outside, Inside, Last) is very useful when expanding out brackets. Using this method we have:2x * x = 2x 2 (First) 2x * 3 = 6x (Outside) 1 * x = x (Inside) 1 * 3 = 3 (Last)So overa...
BA
Answered by Ben A. • Maths tutor
4454 Views

Solve the following system of simultaneous equations: y=x^2 - 5x + 4 ; x+2y=19

Sub y=x^2 - 5x + 4 into x+2y=19x+2(x^2 -5x + 4) = 19x + 2x^2 -10x + 8 =192x^2 - 9x -11 = 0 (2x -11)(x+1) = 0x= 5.5x=-1
SR
Answered by Sulamaan R. • Maths tutor
5117 Views