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write 17/3 as a proper fraction

5 and 2/3

Answered by Jack S. • Maths tutor

2367 Views

Explain the process of using de Moivre's Theorem to find a trigonometric identity. For example, express tan(3x) in terms of sin(x) and cos(x).

Identify de Moivre's Theorem: (cos(x) + isin(x))ⁿ = cos(nx) + isin(nx) 2) Deduce the correct value of n for the given problem. In this e...

Answered by Ollie L. • Further Mathematics tutor

3999 Views

There is a Ferris wheel where the passengers are placed 10m away from the centre. At what speed must they be moving in order for them to feel completely weightless at the top of the wheel.

In order for the passenger to feel weightless, they must have a vertical acceleration equal to the acceleration due to gravity, i.e. they must be accelerating downward at a rate of 9.81m/s². ac...

Answered by • Maths tutor

4889 Views

A ball, dropped vertically, falls d metres in t seconds. d is proportional to the square of t. The ball drops 45 metres in the first 3 seconds. How far does the ball drop in the next 7 seconds?

First we form equations from the information given in the question. The first equation we can form is that d is directly proportional to the square of t. This means that d = kt² ,where k is a ...

Answered by • Maths tutor

5324 Views

What is the function of a cadence in western music and what are the different types?

The function of the musical cadence in western music is to either create tension at the end of a musical phrase to lead into another segment of music, or to definitively conclude a musical phrase. This is...

Answered by David B. • Music tutor

7870 Views