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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 the values that we know int...
TC
Answered by Thomas C. • Maths tutor
4898 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.
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Answered by Ellica M. • Maths tutor
11727 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"
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Answered by Grace F. • Maths tutor
3836 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 the p...
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Answered by Miriam A. • Maths tutor
6490 Views

Solve algebraically the simultaneous equations 2x^2-y^2=17 and x+2y=1

To solve these equations, we have to rearrange the second equation to make x ‘the subject’ and then we can substitute it into the first one. First, subtract 2y from both sides so x=1-2yNext substitute this i...
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Answered by Benjamin H. • Maths tutor
15846 Views