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Better than any of my maths teachers 😂

goat

2**-1

wrong 0,5/1 is simplier

(x ➖ 2x+1).

must be 1.616255×10^-33 cm, hence why you called it a pink planck

I should be asleep, but this video was definitely worth sleep deprivation. :) ty

cool vid ngl

(26)^2=476/360=1.116 2^3(x ➖ 3x+2).

My pink stick is 1000m long

(10)^2=100 360/100=1.260 1.2^130 1.2^10^10^3^10 1.2^5^2^5^3^2^5 1.1^1^1^1^3^2^1 3^2(AB ➖ 3AB+2).

You can solve everything in math using SOH CAH TOA

I didn’t know where to start with this but as soon as you started added lines it became easier

Can't decide if this one is easy but looks difficult or difficult but looks simple

Your instructions were spot on and solved my problem, well done.

You can find y directly because it is ((20-x)/2) you can just put that into the Pythagorean theorem

I was always taught Some Of Her Children Are Having Trouble Over Algebra

What's the best mnemonic for remembering SOH CAH TOA?

To me the radius looks about 1 meter but I could be wrong.

We assume from the diagram that the flat side of the pink semicircle is parallel to the flat side of the largest semicircle. If you decide to reupload to fix the 0.5 error, consider acknowledging that assumption as well! It was a fun problem; usually I shy away from these circle-with-something-inscribed problems because I always forget the rules for chords and the like, but this one was simple enough to be approachable while still being challenging, so thank you for sharing ^~^

I did it in my head and got 0.... (10-x)^2 + (10-0.5x)^2 = 100

I want to clarify an error at the end of the video. I mistakenly said that ?=0.5, which is incorrect. It should actually be ?=1/0.5=2. Apologies for the mix-up, and let me know if you have any questions!

X²+x(y-1)+y²-y=0 x=(-y+1±√(-3y²+2y+1))/2 x²+y²=(y²+1±(-y+1)√(-3y²+2y+1))/2≤1,≥0 y(1±(-3y²+2y+1)-⁰,⁵(3y-3))=0 [y=0, y=1(±),y(+)=2/3;+0*-*2/3+*1+>y-*0+*1+>y

(5)^2 (10)^2={25+100}= 180°ABC/125=1.75 1.3^25 1.3^1^1 1.3^1 1.3 (ABC ➖ 3ABC+1).

That was good. I am kicking myself for not seeing the solution.

Farage lies about Clacton headline I was walking along the Avenue de la Gare in Lausanne with an Italian girl friend and there was the Headline 'England collapse' [Versus the West Indies ]'[this was before the madness of Brexit] My girl looked at me anxiously and was surprised at my sang froid. 'Aren't you worried?' It's cricket love!' 'We in Italy we do not understand cricket!' 'Looking at the score it seems the English do not know much more!' Then we hugged and kissed and laughed .I cannot think of any headline since then that has occasioned such sang froid, such self evident bathos. Had the head line read ¿Farage tells the Truth' I might have suffered mild tremors of surprise ¿but that Farage Lied. Sadly there is no one to hug and kiss with laughter at the bathos of this event. Did you ever entertain any doubt that Farage lies? A man that is so treacherous he supports the candidature of a Rapist and a fraudster and an insurrectionist? Is that the actions of a man of Principle? A man that lies and misrepresents the EU is not likely to stop short of lying about Clacton. A man who is in the pocket of Putin, who has blood on his hand by the mere support of Trump, over three years when every sane and decent person knows what Trump is, then Farage must know but he deceives, he Misleads, he slander, he libels Harris and he exculpates and extenuates Trump. That he lied about Clacton is but one grotesque offence against Democracy the career of a man who has destroyed the UK, its society, its very unity not to mention the economy, who incites hysteria and covert racism, not to say riots by exploiting the stupid and the ignorant causing the hysterical Xenophobia about immigrants. That man of carnage over a hideous decade of political life is the most despicable career in British Politics since Henry Tudor. and Enoch Powell

This is a great problem but I have to agree with the comment that ? in the diagram = 2. In your calculation at 2:37 simple cross multiplication gives 18? = 36 which gives ? = 2 (the triangle sides need to maintain their ratios and 18:6 is the same ratio as 6:2 - not 6:0.5). Also, you can tell just by observation that the length needed is much bigger than 0.5 and looks very much like 2. This would give the overall length x = 20. Still, a great video and well explained.

You had a mistake 2:33 18/6 = 3 then 6/? = 3 ?=2, not 0.5

(10)^2 (10)^2={100+100}=200 10^20 10^2^10 2^5^2^2^5 1^1^12^1 2^1 (x ➖ 2x+1) .

I never knew that rule about inscribed triangles.

2:13 before squaring both sides you must demand the right side to be greater or equal to 0 2:49 try to find the x using Viet's theorem or something else before using Discriminant to avoid making minor mistakes

By symmetry the green line is just 10-x/2, and the quadratic is way easier to solve from there

Funny that when using calculus to solve this you get that the area of the square is equal to (20-2(10sin(pi/4)))^2 which equals (20-2(10sqrt(2)/2))^2 or (20-2(5sqrt(2))^2 which equals 34.3146

So. I looked at the preview and said to myself it's 100% gonna be 4, skipped through whole video, it's 4. Math is nice but isn't always needed with a good eye, I guess.

It's actually easier if you substitute y = (10 - x/2) into the first equation (y^2 = 20x - x^2). No mucking about with roots if you do it that way.

hey man, i found an easier solution, I just uploaded it so you can see it's a LOT easier

really fun problem!

Oh that's clever, I did it a little different. I defined the right circle to be (x-10)^2+(y-10)^2=10^2, so a circle with radius 10 that touches the x- and y-axes, so the square will be divided evenly in two by the y-axis. The top right corner of the square would then be at point (s/2,s), where s is the side length, and would have to sit on the line y=2x. I substituted 2x for y and solved to get (x-2)(x-10)=0. Obviously the 10 solution was nonsense so x=2, and the side length is 4 meters.

I never thought I would spend 3 minutes learning how to workout the area of the square from two circles. I loved the randomness of youtube sometimes!

I like the little company icons that you have in column A, obviously those are just images that you inserted. Was there a specific site that you retrieved these from?

Thank you 🙂

That is a first-rate video and tracker. Thank you, Nathan.

simple, to the point, and useful! Thank you Nathan!

We Love you ❤ Nigel 💎🇬🇧

=COUNTIF($A$2:$A$25,A2)<2 ----This should be adhusted to your custom vales :)

VERY USEFUL. THANKS

Not for me thank you very much 😂

He loves clacton so much he has fcked off to america not serving the people of clacton he thinks more about Trump.

8/10 on this video said they will be voting for NF.. These voting must be liars because the vote didn't turn out that way now did it.. Tony cuenca

Trump? Are you mad????