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A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1) Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-3x^2+2x+...
TF
Answered by Thomas F. • Maths tutor
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What is a covalent bond?

A covalent bond is when the nuclei of two different atoms share a bonded pair of electrons.
CM
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In what way is a diseased coronary heart artery differ from a healthy one, and what are two ways to treat it?

A diseased coronary heart artery has fatty diposits (atheroma) that narrow the lumen, and block bloodflow. As the coronary arteries primarily serve to nourish the heart, this can weaken it and if it remains ...
CM
Answered by Christine M. • Biology tutor
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Describe three styles of tectonic plate movement at plate boundaries.

The three styles of tectonic plate movement are convergent (when plates move towards each other), divergent (when plates move apart), and transform (when plates slide past each other).At convergent plate bou...
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Answered by Beth B. • Geology tutor
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How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula you ...
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Answered by Jake P. • Maths tutor
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