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Maths
GCSE

A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.52 = x2+ 1.52 x2= 6.52- 1.52 x2= 42.25 - 2.25 x2 = 40 x = sqrt(40) x ...

Answered by Pollyanna B. Maths tutor
4645 Views

How to do Indices?

There are different rules when it comes to indices. First of all we will look at the example of multiplying two expressions . For example, y2 x y4 . Here we need to do the addition r...

Answered by Taha H. Maths tutor
2848 Views

A linear sequence starts a + 2b, a + 6b, a + 10b … The 2nd term has value 8 The 5th term has value 44 Work out the values of a and b.

5th Term is a+18b=442nd term is a+ 6b=8subtract the two equations from eachother to get 12b=36 rearrange so that b=36/12=3 substitute b=3 into any of the above equations to get a; a=8-(6x3) = -10 so a=-10...

Answered by Malini P. Maths tutor
2671 Views

A cycle race across Hungary is 392,5 miles long. Bob is a contestant in this race, he can go as fast as 13.48 miles per hour and can pedal 6 hours a day. Work out in how many days will Bob complete this race.

First we need to list what we know from the text. Bob's speed : 13,48 mph and 6hour a day. The distance is 392,5 miles. How do we get the number of hours? Distance/Speed = 392,5/13,48 = 29,1172~ 29,12hour...

Answered by Adam V. Maths tutor
2266 Views

Draw a graph of x = (y + 4)/4

step 1: re-arrange the function in a nicer wayx = (y + 4)/44x = y + 4y = 4x - 4step 2: draw the graphthis is a stright line going through y axis at -4 and x axis at 1, with gradient of 4

Answered by Rimantas K. Maths tutor
2348 Views

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