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Maths
GCSE

Why is Pythagoras theorem (a^2 + b^2 = c^2) true for every right angle triangle?

Firstly let's take a right angle triangle. Label its sides a,b, c for the hypotenuse. Then arrange 4 of these triangles into a large square, with a smaller square contained within it. The area of the smal...

EG
Answered by Edwyn G. • Maths tutor
7209 Views

Rearrange to make p the subject. C + 5 p = a ( C – p )

C+5p = a (c-p)

C+5p = ac-ap

5p+ap=ac-c

p(5+a) = c(a-1)

p=(c(a-1))/(5+a)

SM
Answered by Santiago M. • Maths tutor
4123 Views

x is an integer such that ‎1≤x≤9, Prove that 0.(0x)recurring=x/99

r=0.0.x.

r=0.0x0x0x0x....

100r=x.0x0x0x     (1)

10,000r=x0x.0x0x0x      (2)

(2) - (1):  9,900r=x00

EE
Answered by Ellie E. • Maths tutor
13012 Views

Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.

s=distance/time = 100/12.45 =8.03m/s

RW
Answered by Richard W. • Maths tutor
2709 Views

Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1

     Solve the equation  (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1 

Answer

To start off, we must find the common denominator between the two fractions.

When dealing with complex...

JB
Answered by Jonathan B. • Maths tutor
11251 Views

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