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A ladder of length 4.5m is leaning against a wall. The foot of the ladder is 2.3m from the base of the wall. What is the angle the ladder makes with the wall?

This is an application of trigonometry. The right angle in this case is between the wall and the floor and the hypotenuse is the ladder. The angle between the wall and the ladder can using the sine of the...

Answered by Nicci F. • Maths tutor

4984 Views

Calculate the rate of change of d(t )=2/(3t), t ≠ 0, when t=6.

When a question asks for rate of change, this means you need to differentiate the equation. First you need to put the equation into differentiable a form ie, with the no variables on the denominator: f(t)...

Answered by Lucy I. • Maths tutor

2165 Views

Answer quadratic equation in the simplest surd form/ exact from. 5-2x-x^2=0

5-2x-x²=0x²+2x-5=0 (moving everything over to the other side)then using the quadratic formula (to use a whiteboard during interview)a=1, b=2, c=-5x=(-2 +/- √(2^2 - 4x1x-5))/(2x1)x=(-...

Answered by Seun O. • Maths tutor

3397 Views

Show that (x + 1)(x + 3)(x + 5) can be written in the form ax^3 + bx^2 + c^x + d where a, b, c and d are positive integers.

The way to go about a question like this is to break it down into steps; rather than trying to multiply all the brackets at once expand two first then multiply by the third. ------------------------------...

Answered by Mohammed Burhan A. • Maths tutor

11859 Views

How to solve a quadratic equation.

Group the like terms together to make the equation less messy leaving the equation equal to 0.Simplify the long quadratic equation into brackets.Each bracket must be equal to 0 to fulfil the equation.When...

Answered by Imikan B. • Maths tutor

2629 Views