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A ladder 6·8m long is leaning against a wall. The foot of the ladder is 1·5m from the wall. Calculate the distance the ladder reaches up the wall.

We have a right angle triangle in this problem. We can use Pythagoras' theorem - the square of the hypotenuse is equal to the sum of the squares of the other two sides of the right angle triangle...

Answered by Mohan V. • Maths tutor

3294 Views

[equ1] 3y − 6x = 3 [equ2] y y x 2 − x + 2 2 = 2

Firstly start by rearranging [equ1] to get y = 2x + 1 . Then substitute this result into [equ2] this will give you (2x + 1) (2x ) x . Simplify the equation and subtract two from both sides to 2 − x + 1 + ...

Answered by Alistair S. • Maths tutor

4208 Views

On a packet of brown rice it says 'When 60g of rice is cooked, it will weigh 145g.' If Katy has 100g of brown rice, how much will it weigh when cooked?'

Find by what ratio the weigh of rice has increased.

If the rice increases in weight from 60g to 145g, the factor by which it increases is: (145/60) = 2.4166...

M...

Answered by Ben O. • Maths tutor

14039 Views

Solve: 6x + 3 = 3x + 9

There are a few ways to tackle this particular style of problem. First off we can try doing it without using any bracket theory and just focus on the raw numbers (a somewhat simpler approach). Step 1: We'...

Answered by Calum G. • Maths tutor

7225 Views