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ABC is a triangle with sides of length AB, 12m and BC,14m. Angle ACB = 43 degrees. Find the area of the triangle.

Use of the Sine Rule to ultimately work out the area of a triangleA/SinA = B/SinB14/Sin43 = 12/SinX14SinX = 12Sin43SinX = 12Sin43/14X=InverseSin(12Sin43/14) = 35.77-There are 180 degrees in triangle. Ther...

Answered by Eoin C. • Maths tutor

3106 Views

Using the substitution method, solve the following simultaneous equations 2y+3x=14 and 6x-y=8

Equation 1: 2y+3x=14 Equation 2: 6x-y=8 Rearrange Equation 2: y=6x-8 therefore 2y=12x-16 Substituting the rearranged equation 2 into equation 1: 12x-16+3x=14 15x-16=14 15x=30 x=2 Substituting x into...

Answered by Alex W. • Maths tutor

3280 Views

Solve 4x + 10 = 18

4x + 10 = 18
4x= 18-10
4x= 8
x=8/4
x=2

Answered by Katherine W. • Maths tutor

3283 Views

Solve the simultaneous equations 3x+y=16, x+y=10

3x+y=16 (equation 1)x+y=10 (equation 2)Solve by elimination, notice that we have two of the same y's so as they have the same sign we subtract to get 2x=6, we rearrange to get x= 3Sub this back int...

Answered by Meera S. • Maths tutor

3438 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

We start off by defining what an odd number is. We take a general letter, say the letter n, to represent any number. If we multiple it by 2 we are sure no matter what number we enter as n the answer will...

Answered by Tanmayi M. • Maths tutor

2924 Views