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Maths
GCSE

The longest side in a right-angled triangle is 12cm. One of the shorter sides is 4 cm. Calculate the perimeter of the triangle

122 = 42 + x2 [This is pythagoras' theorem (a2 = b2 + c2) ]
144 =16 + x 2
128 = x2
11...

RC
Answered by Rachel C. Maths tutor
7727 Views

Make d the subject of the formula: 3d + dxy = 4

d (3 + xy) = 4
d = 4/(3 + xy)

Answered by Maths tutor
3614 Views

A cylinder has radius 2cm and height 9cm. A cone has radius r cm and height h cm. The ratio r : h is 1 : 4. The volume of the cone is equal to the volume of the cylinder. Work out the value of r.

Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r2h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and usi...

AC
Answered by Alice C. Maths tutor
6712 Views

Solve the simultaneous equations, 2x-3y=14 and 3x+4y=4

When asked to solve we have to find the value of x and the value of y, as they are simultaneous equations we know the value of y in equa...

SB
Answered by Shireen B. Maths tutor
4836 Views

solve the simultaneous equation: 3x+y=7, 2x+4y=8

First, we need to remove one of the variables from one of the equations. In this case, we multiply the first equation by 4 to give 12x+4y=28.Then minus the 2nd equation from this to give 10x+0y=20.Now div...

MT
Answered by Matthew T. Maths tutor
4847 Views

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