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A ladder 5.5m long is leaning against a wall. the foot of the ladder is 1.7m away from the wall. how far up the wall does the ladder reach?

This is a classic GCSE Pythagoras' Theorem question. 

The first thing we are going to do is draw a diagram. Once we sketch out a diagram, we can see that the ladder makes a triangle shape with the ...

AN
Answered by Annie N. Maths tutor
6943 Views

How do I work out the length of sides on a right-angle triangle?

Over 2000 Pythagoras discovered that when a triangle has a right angle (90 degrees), and squares are made for each of the three sides, then the biggest square has the exact same area as the two other squa...

AK
Answered by Amrita K. Maths tutor
4515 Views

Differentiate 5x^2 + 11x + 5 with respect to x

The simple rule of thumb applied to differentiation can be used in this example - 'Multiply each term by its power then reduce the power by one'. Doing this 5x^2 becomes 25x^(2-1)=10x. Repeating for 1...

SL
Answered by Sam L. Maths tutor
3957 Views

Rearrange, 5(a + b)= 2ab , to make 'a' the subject

The question is asking for 'a' to be the subject and therefore our aim is to result in an answer with the form 'a='. The first step is to expand the brackets on the left hand side by multiplying 'a' by 5 ...

MM
Answered by Meera M. Maths tutor
10564 Views

How do I know if I am using the right particular integral when solving a differential equation

Particular integrals will generally be derived in two different ways, depending on the type of the differential equation that you are solving. For example if it was a linear first order ODE, then you woul...

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Answered by Vaikkun V. Maths tutor
10918 Views

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