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H3 Maths Explores Mathematics in Architecture – Pt I

January9

Happy New Year for 2014!
Yes, it has been rather a big adventure for H3 Maths, covering about 6 countries in just a few weeks. Temperatures ranged from 0 to 30 degrees C. You might have thought that H3 was on vacation and you would be correct. However, Mathematics never sleeps and H3 was acutely aware of things mathematical during their travels. Take this unique building in Dubai for example. It is a simple section through two planes of a sphere (yet it is built entirely out of rectangular pieces). Check out other examples here at math tourist:
sphere_section

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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