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There are 12 choices for the first memebr, then 10 for the next (as it cannot be the spouse), then 8, then 6.Therefore there are 121086 permutations where partners aren't together.However, th...
We can find any angle in a right-angled (RA) triangle if we know the lengths of two of the sides, using SohCahToa.The first step is to identify which of the sides we know. There are three sides in a...
We know that 10% play team sports, that means 700*0.1=70 students play team sports. Out of those 70, 36 students play football, 22 play both sports, that means 36-22=14 play football only. Let's draw a di...
In order to use the binomial expansion, we must have an 'x' with no coefficients - so no number before it.So we take out a factor of 2:(2(x+3))^5We can then simplify to:32(x+3)^5 by expa...
Subtract the 2nd equation from the first: 2x--2x+y+6y=5-2 <=> 7y=3 <=> y=3/7Input the value of y into one of the equations: 2x+3/7=5 <=> 2x=(35-3)/7 <=> x=16/7
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