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Show that 12 cos 30° - 2 tan 60° can be written in the form root (k) where k is an integer.

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 = root(3) / 2 tan 60...
MA
Answered by Marco A. • Maths tutor
5052 Views

Explain the factors which might determine the natural rate of unemployment (15 marks)

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. The magnit...
MA
Answered by Marco A. • Economics tutor
10609 Views

10cm^3 of 1M NaOH solution is mixed with 15cm^3 of 0.5M HCl, what is the resulting pH of the solution?

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 is 15cm^3/...
LA
Answered by Lachlan A. • Chemistry tutor
9940 Views

How was the quadratic formula obtained.

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=(b^...
JH
Answered by Jon H. • Maths tutor
4050 Views

How many hours revision should I do between now and my exam? Can I have help coming up with a plan?

Let’s break this down. Let’s look at how much time you have before the exam and work out something manageable, because overwhelming yourself with too much revision can be counter productive. The question I a...
RM
4979 Views