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How do I calculate the length of a regular pentagon's edge when I know that it has the same perimeter as a triangle who's perimeter is 30cm?

The first thing I would do is sketch a diagram of a triangle and a pentagon. I find that tutees learn best when they can see what's going on so this makes the explanation easier to understand. After having s...
JA
Answered by Jason A. • Maths tutor
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The curve C has the equation y = 1/2x^3 - 9x^3/2 + 8/x + 30, find dy/dx. Show that point P(4, -8) lies on C

y = 1/2x^3 - 9x^3/2 + 8/x + 30y = 1/2x^3 - 9x^3/2 + 8x-1 + 30dy/dx = 3/2x^2 - 27/2x^1/2 - 8x^-2 + 0dy/dx = 3/2x^2 - 27/2x^1/2 - 8/x^2substitute x=4 into equation for yy = 1/2(4)^3 - 9(4)^3 + 8/4 +30y = 32 - ...
Answered by • Maths tutor
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Factorise x^2 + 10x + 24

First, we need to find two numbers which add together to make 10 such as 2 and 8, 6 and 4 or 7 and 3, listing these combinations. Next, we need to do the same but finding combinations of numbers which multip...
PF
Answered by Phoebe F. • Maths tutor
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How do we know which formulas we need to learn for the exam?

When learning new content, I know it is really intimidating seeing how many new formulas and equations are needed to answer questions, however I also know how easy it is to get on top of it all! My main piec...
Answered by • Maths tutor
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Using your knowledge that tan(x) = sin(x) / cos(x) , how would you write 4/7tan(x)

Since tanx = sinx / cosx that means that the inverse of tan must = the inverse of sinx / cosx which is cosx / sinx . So we know that 1/tanx = cosx . Now all we have to do is apply the multiple 4/7 because 4/...
Answered by • Maths tutor
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