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How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1...

Answered by Tharani T. • Maths tutor

11778 Views

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x)² + cos(x)² = 1

Dividing by cos(x)² gives:

tan(x)² + 1 = sec(x)²

Which rearranges as:

sec(x)² - tan(x)<...

Answered by Alistair R. • Maths tutor

3864 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a² + b² = c² (Pythagoras' Theorem)

a² + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets)

a² + 9 + 6√(3) + 6√(3...

Answered by Rebecca A. • Maths tutor

3949 Views

Using real life examples, explain the differences between the different market structures.

There a four types of market structures. A monopoly is where one firm dominates the market, it is characterised by high entry and exit barriers, high sunk costs and a possibility for supernormal profits. ...

Answered by Fiyin A. • Economics tutor

15234 Views

Define economics of scale and explain them 2 examples

Economies of scale are when firms experience a fall in long run average costs due to the growth of the size of the company. Firstly an example is financial economies of scale. This is when a company can b...

Answered by Sophie W. • Economics tutor

2579 Views