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A scalene triangle ABC has side lengths AB=6cm, BC=4cm, and AC=x cm. The angle A, opposite BC, is 40 degrees and the angle B, opposite AC, is 50 degrees. State the sine rule and use it to find the value of x to 3 s.f.

The sine rule states that for any scalene triangle ABC the following equation holds: BC/sin(A) = AC/sin(B) = AB/sin(C).[Draw a diagram.] By drawing the triangle and substituting ...

TC
Answered by Thomas C. Maths tutor
3983 Views

Factorise 3𝑝𝑞4 − 12𝑞2𝑝6 fully.

3pq4 - 12q2p6 = 3(pq4-4q2p6) = 3p(q4-4q2p5) = 3pq2(q2-4p5)

EM
Answered by Ellica M. Maths tutor
2121 Views

Adam gets a bonus of 30% of £80. Katy gets a bonus of £28. Work out the difference between the bonus Adam gets and the bonus Katy gets.

Adam = 30% x £80 = 0.3 x 80 = £24 bonusKaty = £28 bonus£28 - £24 = £4Therefore, there's a £4 difference between the bonus Adam gets and the bonus Katy gets.

EM
Answered by Ellica M. Maths tutor
10876 Views

(x+2)(x-3) expand and simplify

A key algebraic technique for double brackets is FOILx^2 -3x + 2x -6simplify furtherx^2 -x -6can check by factorisingthe integers adds to make "the number" and multiply to make "the x"...

GF
Answered by Grace F. Maths tutor
3088 Views

How can I find the stationary points of a parabola given it's equation?

You can find the stationary points by differentiating the equation and then solving it for zero. What this means, is that you can take the power of the Xs in the equation, and differentiate by bringing th...

MA
Answered by Miriam A. Maths tutor
5807 Views

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