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There are three trigonometric ratios: sine, cosine and tangent, shortened to sin, cos and tan. Firstly, let's draw a triangle and label the sides. In a right-angled triangle, we call the bottom side betwe...

First, we need to work out the difference (increase) between our two numbers:420 - 30 = 390
Second, we divide the difference by the original starting number:390 / 30 = 13
Lastly, we multiply thi...

To factorise a quadratic in the form ax^2+bx+c we need to find 2 numbers which add to get b and multiply to get c. In this case a=1, b=1 and c=-12. Two numbers which add to 1 and multiply to -12 are 4 and...

80F = 100 | F = 10/8 | 3(10/8) = 3.75 | Therefore, 3.75% of the batteries are faulty.

The curve and the line will intersect when the two expressions are equal, so:4x²+ 5x + 3 = x + 2 (eliminating y and putting the expressions in terms of one variable).4x²+ 4x + 1 = 0(...