Top answers

Find the angle z in the following triangle.

< RIght angled triangle with sides of length 8mm, 5mm and h. Unknown angle z denoted.Use SOH CAH TOA in trigonometry to label the triangle accordingly, then find that 'tan' is to be used. Finally, use the...
AQ
Answered by Abul Qasim A. • Maths tutor
3568 Views

James is 7 years older than Kate. Sam is twice as old as James. The sum of their ages is 77. Find the ratio of Kate's age to James' age to Sam's age.

Kate's age = xJames age = x + 7 Sam's age = 2x + 14sum of age = 77 Therefore x + x+7 + 2x+14 = 774x + 21 = 77 4x = 56 x= 14 ratio = 14:21:42
DB
Answered by Danial B. • Maths tutor
5721 Views

Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum over all the...
TW
Answered by Tommy W. • Maths tutor
4128 Views

The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-interce...
DS
Answered by Darsh S. • Maths tutor
4422 Views

How do I solve a simultaneous equation in two variables when they have with different coefficients?

First have a look at the coefficients of each variable. You're trying to spot if the coefficient of one variable is a multiple of the coefficient of the other in the second equation. If so, you can multiply ...
RW
Answered by Ryan W. • Maths tutor
4057 Views