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You are shown a diagram of a right angled triangle, with the hypotenuse labelled c and the other sides labelled a and b. If a is 7m long and c is 10m long, what is the length of b?

A simple implementation of Pythagoras' Theorem a²+b²=h², and as in the question c is the hypotenuse, a²+b²=c². (Side Note - in exams, the ...

Answered by William H. • Maths tutor

3563 Views

Solve the simultaneous equations: 2x - y = 4 and x + 2y = 7

Solve: 2x - y = 4 and x + 2y = 7

There are two methods to solve this, you can either calculate one of the variables from either equations and then substitute to the second one or try to multiply o...

Answered by Eliza K. • Maths tutor

14390 Views

Work out the value of 2a^2 + b^3 when a = 5 and b = –3

It is best to approach this question in parts, then combine the parts to find your solution. This question may be split into parts, as follows: Firstly, if a = 5, then a² = 5² = 5 x ...

Answered by Tutor51449 D. • Maths tutor

11501 Views

5 students are in a maths class and 10 students are in a physics class. The mean mark of the maths class is 90 and the mean mark of the physics class is 85. Work out the mean mark of both classes.

To find the mean mark the formula is mean = ∑marks /number of students Therefore the mean for maths is 90 and so ∑marks = meannumber of students = 905 = 450 and the ∑marks for th...

Answered by Ryan S. • Maths tutor

3044 Views