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If cos(x)= 1/3 and x is acute, then find tan(x).

Consider a right angled triangle. Call one of the angles (not the right angle) in this triangle x. We can do this as we are told x is acute. The side opposite to x label O, the side adjacent to x label A,...

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Answered by Hugh K. Maths tutor
17239 Views

If n is an integer prove (n+3)^(2)-n^(2) is never even.

Let us begin by simplifying the expression:(n+3)2 - n2 = (n+3)(n+3) - n2= n2 + 6n + 9 - n2 (expanded brackets)= 6n + 9 (collected like terms)= 3(2n+3...

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Answered by Hugh K. Maths tutor
6211 Views

For what values of k does the graph y=x^(2)+2kx+5 not intersect the x-axis

Where the graph intersects the x-axis, x2+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x2+2kx+5 = 0 not have a solution?This is now a simp...

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Answered by Hugh K. Maths tutor
28212 Views

Why can metal conduct electricity and heat?

Conduction is possible as delocalised (free) electrons are able to carry a charge and move through the metal.

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Answered by Bertie H. Chemistry tutor
6350 Views

What does an organism use energy from respiration for?

In all organisms, allows creation of bigger molecules from smaller ones

In animals, enables muscle contraction

In some animals (mammals and birds), provides heat to maintain...

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Answered by Bertie H. Biology tutor
9470 Views

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