Search our library of Maths questions

Top answers

Maths

All levels

A particle is in equilibrium under the action of four horizontal forces of magnitudes 5 newtons acting vertically upwards ,8 newtons acting 30 degrees from the horizontal towards the left,P newtons acting vertically downwards and Q newtons acting to right

first of all we need the resolve the diagonal force into its horizontal and vertical components. Using trigonometry you can deduce that the horizontal component equates to 8Cos30 and the vertical componen...

Answered by Ali A. • Maths tutor

6001 Views

Solve algebraically the simultaneous equations: x^2 + y^2 = 25, y - 3x = 13

Steps:Number both equationsUsing equation 2, solve for y in terms of x.Substitute this answer into equation 1 so that your equation only includes x terms and no y terms.Solve equation 1 for x. (This will ...

Answered by Rowena M. • Maths tutor

2066 Views

A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?

Assume angle of throw theta. Resolving vertical and horizontal components: Vvert=v.sin(theta) and Vhoriz=v.cos(theta).From 'suvat' equations, time to vertical stationary t=v/a. This must be doubled to fin...

Answered by Benjamin W. • Maths tutor

3287 Views

3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14...

Answered by Emily P. • Maths tutor

8980 Views

how do you work out the gradient and point of interception of a linear graph given some coordinates

plot the coordinates to obtain a straight line graphcalculate the gradient by using the equation m=change in y/change in xfind the point of interception by seeing where the line crosses the y axis, where ...

Answered by Katrina P. • Maths tutor

2585 Views