Top answers

Simplify fully: (5 +√7)/ (2+√7)

Can show working on a whiteboard.
TA
Answered by Tony A. • Maths tutor
6642 Views

A stone was thrown with velocity 20m/s at an angle of 30 degrees from a height h. The stone moves under gravity freely and reaches the floor 5s after thrown. a) Find H, b)the horizontal distance covered

To find the height we first need to find the initial vertical velocity of the stone. This will be equal to 20 * sin(30) = 20 0.5 = 10m/s. From here we can use SUVAT. In this case s=-h,u=10m/s, v is unknown, ...
DH
Answered by Dominic H. • Maths tutor
5847 Views

express the following fraction in the form of m + (n)^1/2. the fraction is ((3*(5)^1/2)^2 - 7)/(3 + 7*(5)^1/2). where m,n are real numbers.

first of all you would see that at the bottom of the fraction it is not an integer so first of all you would need to rationalise the denominator. the denominator is the bit at the bottom of the fraction. You...
HC
Answered by Hugh C. • Maths tutor
3769 Views

Suppose that you go to a party where everyone knows at least one other person, you get a bit bored and wonder whether there are at least two people which know the same number of people there.

To get our head around a problem like this is always very useful to think of a few examples. First supposed that this party is a bit borining and there are only 2 people, then by assumption they know each ot...
AS
Answered by Andrea S. • Maths tutor
4197 Views

How do you solve trigonometric equations?

To help explain we will use the following example: Show that cos(2x) = 2cos 2 x - 1. Hence solve the equation cos(2x) + cosx = 0 for 0 o < x < 360 o . Answer: We know from our sum-difference formulas t...
JY
Answered by Jessica Y. • Maths tutor
5700 Views