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Well, if you got the correct answer, good for you. 

OK I thought about it. You obviously hope this answer doesn’t help, because your answer is pure B U L L S H I T!

You hope this helps, but your hope comes to naught! This question is easily answered.

The equations you wrote are true, but the solution is straightforward and simple. No brute force is needed.

2) Think about it. The question says to find the "largest possible length of the shortest side". Well if you go too big, the "shortest side" becomes the "longest side". What if there was no "shortest side" and "longest side"?

- PM

1) For this problem, you would use a formula similar to the Pythag theorem. The pythag theorem says a^2 + b^2 = c^2 for right triangles, so if a triangle is acute, a^2 + b^2 > c^2. Likewise for obtuse triangles, a^2 + b^2 < c^2.

Use this and brute force to find the answer.

Hope this helps,

- PM

30 C 3     x     40 C 4  

4060        x    91390   =

Asinus is notorious for fucking up solutions.

If we corrected all his fuckups, we’d never have time to fuckup our own answers!  

ohh ok thank you!! i kept trying to square root things that i forgot about going the other way around haha

Sum of squares factorization:

A² + B² = (A+B)² − 2AB

A = x^2

B = 1/x^2

(x^2 + 1/x^2)^2 - 2 x^2(1/x^2)    =    (x^2 + 1/x^2)^2 -2    = 23

 (x^2 + 1/x^2)^2   = 25    

x^2+ 1/x^2   =  5     (taking the  positive root)

Is nobody going to correct the error in asinus' calculation?  

Is the idea to ignore it until it's so far down in the pages it'll never be seen again? 

Your question is missing some important information, but

take the distance in miles        x

and divide by the time in total  hours    y   to   get       x/y    m/hr(miles per hour)

Is that really a 100 cm   'tower'  ?      .... that is only 39 inch tall 'tower'   

99999999999999999999999999990000000000000000

https://web2.0calc.com/questions/a-researcher-observes-and-records-the-height-of-a_1#r1

https://web2.0calc.com/questions/a-sine-function-has-the-following-key-features_3#r1

https://web2.0calc.com/questions/a-sine-function-has-the-following-key-features_4#r1

Look at triangle(ABC)  --  Drop a perpendicular from C to AB.

This will be the height of triangle(CQB) with base QB.

It will also be the height of triangle(CQA) with base AQ.

Since AQ = 3 x QB, the area of triangle(CQA) = 3 x area of triangle(CQB).

Look at triangleAQC)  --  Drop a perpendicular from Q to AC.

This will be the height of triangle(QRA) with base RA.

It will also be the height of triangle(QRC) with base RC.

Since AR/RC = 2/3, the area of triangle(QRA) = 2/3 · area of triangle(QRC).

This means that triangle(QRC) = 3/5 the area of triangle(CQA).

Can you take it from here?

which one is the answer

There are 4 ways to select a science textbook to in the middle. (There are now 3 science books remaining.)

There are 5 ways to select a history textbook to place a on the left-hand end. (There are now 4 history books remaining.)

There are 4 ways to select a history textbook to place on the right-hand end. (There are now 3 history books remaining.)

With 6 books remaining, you can fill the other 6 spaces in 6 x 5 x 4 x 3 x 2 x 1 ways.

The total number of ways is:  4 x 5 x 4 x 6 x 5 x 4 x 3 x 2 x 1 ways.

Since it's symmetrical, there are two answers:  q = 3 and p = 3/2  or  p = 3 and q = 3/2

It is just a rectangle. Any rectangle (including squares)

Have you bothered to google what a monic polynomial is ?

Geno has answered your entire first question with full explaination and all you can say is "this doesn't really help"

What an ungracious person you are !!