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Maths
GCSE

How can I draw a 30 degree angle without a protractor?

In the exam you will have a ruler and a pair of compasses, which you can use to construct a 60 degree angle by drawing two arcs. You can then draw two more arcs to bisect that 60 degree angle and make a 3...

ZC
Answered by Zoe C. Maths tutor
18623 Views

i) Make y the subject of the expression x = ((a-y)/b))^1/2 ii) Simplify fully (2x^2 − 8)/(4x^2 − 8x)

i) Square both sides of the expression to make x^2=(a-y)/b 

Multiply by b to remove the fraction from the equation and then rearrange to make y the subject.

bx^2=a-y --> y=a-bx^2

i...

OS
Answered by Oscar S. Maths tutor
4154 Views

A semicircle has a diameter of 8cm, what it the area?

Area of a circle = pi × r2

Area of semi-circle = 1/2(Area of circle) 

= 1/2(pi × r2)

Diameter = 2r 

r = 8÷2 = 4

Area of semi-circle = 1/2(pi × 4

AP
Answered by Annabelle P. Maths tutor
8026 Views

Solve algebraically the simultaneous equations: x^2+y^2 = 25 and y-3x=13

To answer this question, we need to make y the subject of the second equation. We can do this through simple rearrangement:

y-3x=13 so y=13+3x

Now that we have y on its own, this means we ca...

JK
Answered by James K. Maths tutor
7789 Views

Find the intercept between the two equations below?

y = 2x+5

y=x+1

First equate:       2x+5=x+1

Rearrage for x:    2x-x=1-5

Which gives:       x=-4

HS
Answered by Harry S. Maths tutor
2715 Views

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