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A perfect sphere of lead has radius 6 cm, and weighs 1710 grams. What is its density? Give your answer in g/cm^3. [Density = mass/volume]

To find the density, we need to divide mass by volume, and we already know the mass, so must find the volume.  V = 4/3.pi.r^2, and plugging in r=6 gives V = 48.pi, about 150.8 cm^3. The mass is 1710, whic...

RH
Answered by Ruth H. Maths tutor
3752 Views

Factorise and solve x^2 - 8x + 15 = 0

x^2 - 8x + 15 = 0 

(x - 5) (x-3) = 0 

x = 5 or x = 3

FC
Answered by Flora C. Maths tutor
2875 Views

Prove that (2*a^2 + 7a + 3)/(a + 3) is an odd number for any positive integer number, a.

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd nu...

NM
Answered by Nadia M. Maths tutor
3198 Views

Find the length of the hypotenuse if the right angled triangle's other two sides are of length 5cm and 12cm.

Use of a^2+b^2=c^2 must be included in the answer.

Furthermore the numbers must be put in the above equation to give: 5^2+12^2=c^2

This must then be solved to give: 169^0.5=c

The answ...

SW
Answered by Sarah W. Maths tutor
3166 Views

4x^2 + 8x + 3 can be written in the form a(x + b)^2 + c where a, b and c are whole numbers. Work out the values of a, b and c.

Factorise 4x+ 8x + 3 = 4(x+ 2x + 3/4) divide the coefficient of x by 2: 2/2=1 Now x2+2x = (x+1)2-12 = (x+1)2-1 Hence, 4((x+1)2

DW
Answered by Donny W. Maths tutor
12974 Views

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