## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with oceans

### Measuring Ocean Waves – Wow!

May4

Waves in the Southern Ocean have already been recorded over 20 metres in height, but new research shows they’re getting higher. A small but significant increase of 1.5 metres per second – 8 per cent – was noted by researchers who analysed approximately 4 billion observations from 31 satellites and 80 ocean buoys worldwide. “Although increases of […]

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### Toroidal Bubbles

July7

A quite amazing phenomena, toroidal bubbles can be found in many fluids. Technically, During the collapse of a bubble near a surface, a high-speed liquid jet often forms and subsequently impacts upon the opposite bubble surface. The jet impact transforms the originally singly-connected bubble to a toroidal bubble, and generates circulation in the flow around […]

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### The depths that Math goes to…

July7

First, a few basic mathematical facts about our oceans: …which made me think about the equation for water pressure at different depths. Pressure  increases by 1 atm with each 10 m of depth (at sea level the pressure is 1 atm). An “atm” is Atmospheric pressure, which is the force per unit area exerted against […]

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#### Post Support

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)?]