Trivia Contest 2021

[Utisz]

sinh is odd function (https://images.app.goo.gl/jsgPaysUfMuX8TDHA), so it is possible to get a length from that calculation (cosh cancels).

True dat.

Also the integration was between 1 and -1 which was incorrect it should be -0.5 and 0.5. sinh(0.5) - sinh(-0.5) is 2sinh(0.5)

However I realised the actual equation for a catenary is a*cosh(x/a) not a*cosh(x).

if you do the arclength integral calculations the arclength of a catenary is asinh(x/a)

My workings:

a(sinh(0.5/a) - sinh(-0.5/a)) = 2

2a(sinh(0.5/a)) = 2

a*sinh(1/2a) = 1

So...

I will just graph a*sinh(1/2a) - 1, graphing that I get 0.23 as the minimum.

So the equation is 0.23cosh(x/0.23) - 0.23

(As acosh(0) = a)

at 0.5 and -0.5 the height is:

0.79

it strikes me there is an upper bound by pythagoras of 0.87

and a lower bound of 0.5 as you mentioned.

So after a sanity check this result seems at least plausible.

graphs here:

https://www.desmos.com/calculator/9xhchsv4o2

Correct! 10 points.

𑁜𑁓

Jordan

Not the one.

𑁒

William Faulkner

Correct! 10 points.

𑁛𑁕

A compass. These areas in Ontario, Belgograd and the Central African Republic are all within magnetic anomalies.

Correct! 10 points.

𑁕

Senseye, 1916

Not the one.

𑁜𑁒

Ötzi the Iceman

Not the one.

Streaking into the lead!

[Senseye]

Country A's longest land border is with Country B. Country B's longest border is also with Country A. The capital of Country A and Country B are more than 8500 kilometers apart. What are the two countries?

I need some clarity on this one. Surely Brazil's longest land border is with Bolivia.

[Utisz]

Country A's longest land border is with Country B. Country B's longest border is also with Country A. The capital of Country A and Country B are more than 8500 kilometers apart. What are the two countries?

I need some clarity on this one. Surely Brazil's longest land border is with Bolivia.

You are correct! I messed up reading the table here and assumed it was in order of length in a rush to get the quiz done.

https://en.wikipedia.org/wiki/Borders_of_Brazil

I'll correct the question. You did not by chance rule out that answer for this reason?

[Julius_Van_Der_Beak]

𑁛𑁒

Can't figure out the Dinklage connection, but the others hold:

Rachel Weisz

[Julius_Van_Der_Beak]

𑁜𑁓 China

[C.J.Woolf]

𑁛𑁒

1RXS J160929.1−210524 (AKA GSC 6213-1358) is an orange or red dwarf star in the constellation Scorpius.

[Julius_Van_Der_Beak]

I missed most of this so I'm trying to catch up .

𑁛 I'm pretty sure is JFK airport.

[Julius_Van_Der_Beak]

𑁛𑁒

1RXS J160929.1−210524 (AKA GSC 6213-1358) is an orange or red dwarf star in the constellation Scorpius.

Oh, that makes sense.

[HighlyIrregular]

𑁛𑁔
Name the series of stories and cartoons whose main characters are depicted collectively in the following:

I'm too lazy right now but I feel like these search results should be reviewed in depth for the answer.

My audio question is still open for answering BTW.

[SomeInternetBloke]

𑁛𑁔
Name the series of stories and cartoons whose main characters are depicted collectively in the following:

I'm too lazy right now but I feel like these search results should be reviewed in depth for the answer.

My audio question is still open for answering BTW.

You or author of sig.