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A ladder 5m long is leaning up against a wall. The foot of the ladder is 3m from the wall. How high up the wall does the ladder reach?

Think about which mathematical theorem you might want to use for this question (Pythagoras: a 2 + b 2 = c 2 ) Draw a diagram of the situation described, and write down the equation you think you should use. ...
JR
Answered by Josie R. Maths tutor
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Why is the sky blue?

Light from the sun is white. As it passes through the Earth's atmosphere, the different wavelengths of white light (i.e. the visible spectrum of colours) are scattered by gas and dust particles. Colours with...
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Answered by Josie R. Physics tutor
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Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1)) = 1 to 2 decimal places.

First, multiply by the denominators making sure to multiply on both sides of the equation and the other fraction. You should start this by multiplying through by one of the denominators and then by the other...
HC
Answered by Harry C. Maths tutor
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Paul organised an event for a charity. Each ticket for the event cost £19.95 Paul sold 395 tickets. Paul paid costs of £6000 He gave all money left to the charity. (a) Work out an estimate for the amount of money Paul gave to the charity.

This question asks us to estimate the amount of money Paul gave to Charity. To work out an estimate we must start by rounding the numbers we are given to 1 significant figure and the Starting with 19.95 --&g...
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Answered by Priti P. Maths tutor
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Amy earns £6 for every hour she works Monday to Friday. She earns £8 for every hour she works on Saturday. One week Amy worked for 5 hours on Saturday - she earned £130 that week. How many hours did she work from Monday to Friday?

Amy worked for 5 hours on Saturday so she earned £8 x 5 = £40 on that day. She earned £130 in total so we know she earned £130 - £40 = £90 working from Monday to Friday. For every hour Amy worked from Monday...
HM
Answered by Hamza M. Maths tutor
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