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Using the trignometric principles,sin (ACB) = AB/AC = 3/6 = 1/2Thus, angle ACB = 30 degreesand angle BAC = 90 - angle ACB = 60 degrees

x²+8x+15 = (x+3)(x+5)So, the value of x²+8x+15 is zero when x²+8x+15 = 0 i.e. x = -3 or x = -5.

firstly the largest power is x^2 so when factorising we know that both brackets must involve an x plus or minus a number.

next we look at the 21 and we need two numbers that multiply toge...

Presenting your working out is extremely important because it's makes the examiners jobs easier, keeping them happy.One thing you should aim to do is not write too small, try and use all the space you're ...

P(WW) = 5/8 x 4/7 = 20/56

P(BB) = 3/8 x 2/7 = 6/56

P(same colour) = 20/56 + 6/56 = 26/56 = 13/28 (simplified)