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To answer these questions, students must know the values of cos30 and tan60. If you don't know them off by heart, you can work them out using an equilateral triangle.

cos 30° = adj / hyp =...

The natural rate of unemployment is where labour demand matches labour supply despite normal levels of unemployment occurring within the economy. This unemployment may be structural or frictional.

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Step 1: Work out the moles of NaOH and HCl added into the solution 10cm^3 of 1M NaOH would mean that there is 10cm^3/1000cm^3 x 1M present, i.e. 0.01 moles 15cm^3 of 0.5M HCl would mean that there ...

We want a solution to ax^2+bx+c=0. Complete the square to get a[(x+b/2a)^2 -(b^2)/(4a^2)]+c=0. Expalding brackets and rearanging gets a(x+b/2a)^2=(b^2)/4a -c. Divide by a to get (x+b/2a)^2= b^2/4a^2 -c/a=...