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Posts tagged with scale

How Big is a Trillion?

January15

Wow, I just read in the news today that the world has amassed a debt level of just over 250 trillion dollars! But, just how big is a trillion? A trillion is a million million, or 1,000,000 with 6 more zeros, or 1,000,000,000,000. This video puts that huge amount into perspective (click on the picture […]

Branch out with some Fractals

October24

Breathe. As your lungs expand, air fills 500 million tiny alveoli, each a fraction of a millimeter across. As you exhale, these millions of tiny breaths merge effortlessly through larger and larger airways into one ultimate breath.¬†These airways are fractal. Fractals are a mathematical tool for describing objects with detail at every scale. Mathematicians and […]

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Gadzooks – pushing camera sensors to their limit!

October23

News just in from dpreview.com: Sensor manufacturer OmniVisionhas created what has now been confirmedas the smallest commercially-available image sensor in the world by Guinness World Record. The OmniVision OV6948is an ultra-compact 1/36-inch backside-illuminated sensor that measures just 0.575mm x 0.575mm. The sensor, designed specifically for medical applications, features a resolution of 200 x 200 pixels, […]

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Did You Know … DNA factoid

February25

DNA, the long molecules containing our entire genetic blueprint, are about two metres long when unwound, but pack into cell nuclei that measures only 100th of a millimetre across.

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Here’s looking at you up there!

July6

In a wonderful display of photographic expertise, this remarkable photo taken by Dylan O’Donnell in Australia, shows the International Space Station crossing in front of the moon. Click on the picture for more info. It took Dylan over a year to get this picture and he attached his camera to a telescope to effectively create […]

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Now that looks really weird!

May20

Lakes in the desert, the moon larger when it is on the horizon, Escher’s famous sketches – and, then this recent pic which somehow doesn’t quite seem right? The scale is not correct…or, is it? (For an explanation, check out the Post Support.) Optical illusions are a fun way to get connected with Spacial Geometry. […]

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Great Galloping Galaxies in 4GB!

January24

The Hubble Space Telescope of ESA has captured the largest and sharpest image of the Andromeda galaxy that lies at a distance of 2.5 million light years. The image was first released at the meeting of 225th meeting of American Astronomical Society (AAS) in early January and is comprised of 1.5 billion pixels. It uses […]

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Scale that Rock!

November13

After a 10-year journey, the space probe Philae has landed on the 67P/Churyumov-Gerasimenko comet after being launched from the space probe Rosetta. Astrophysicists hope Philae will unlock knowledge about the origins of the solar system and even life on Earth, which some believe may have started with comets seeding the planet with life-giving carbon molecules […]

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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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The Mathematics of Scale

April30

Hey – do you enjoy making model cars, boats, planes, dolls houses, or even F1 racing cars? Modelling is great fun and most model kits come with a scale on the front of the box, such as 1:50 or 1:100. I recently saw a modelling kit of the Starship Enterprise, which had a scale or […]

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Post Support

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

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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