I like how you assigned coordinates to each of the vertices! This is very useful for coordinate proofs! I should use that in the future

The triangle with the side length 4 also has a height of 15-3, which is 12. Using the Pythagorean theorem, the hypotenuse is 4sqrt10.

On the other hand, we can split the quadrilateral on the left into a rectangle and a triangle, and that triangle has a base of 14-4=10 and a height of 15-3=12. Using the Pythagorean theorem, we get that the hypotenuse of that triangle is 2sqrt61.

Therefore, the length of the rope is $2\sqrt{61}+4\sqrt{10}$

True

oh! and forgot to mention: For that tool link, there's a number conversion table, so you can compare all bases up to base 36.

http://www.unitconversion.org/unit_converter/numbers-ex.html

I didn't use an algebraic way, but I used a base change calculator, so essentially guess and check.

However I knew that the base had to be above 11, since B is not included in the Base 11 digits.

Here's a good tool: http://www.unitconversion.org/unit_converter/numbers-ex.html

sorry, that was incorrect. Is there a way to do this problem?

Edit: Nevertheless, I realized I made a calculation mistake, and I had found that the answer is a=12

Thanks! Have a nice day!

I had calculated them, and i have received the statements: $x+2$ and the square root of $x^2+16$, which if they are equated to each other I get the answer $x=3$

To make sure, is this correct?

Ptolemy is always correct: Because the Party and Big Brother says so

In the same logic: Every single math problem has an answer of 53

$83^9+1$ is 186,940,255,267,540,404.

$83^9+83^2+1$ is 186,940,255,267,547,293

The GCD is 1.

https://www.calculatorsoup.com/calculators/math/gcf-euclids-algorithm.php?input1=186940255267547293&input2=186940255267540404&action=solve

Wait a minute why is the guest ElectricPavlov? I am deep confusion

I think he might have logged out and replied and logged in again

It's called the Law of Cosines,

Please do not post questions from week 4 of Introduction to number theory.

The distance formula is essentially the Pythagorean theorem, so exactly what you did

Use tangent, Opposite/adjacent.

16/10, which is equal to 1.6. Use the inverse of tan, to get the answer of 57.99 which is equal to 58.

Sorry for replying late, confused myself by using radian mode instead of decimal. :(

It is C.

the square on the right is 36, and the remaining triangle has a base of 10 and a height of 12, so the area of the triangle is 60. 60+36 is 96, so C is the answer.

Its a simple $3:4:5$ triangle: Except it is in the form of $6:8:10$. Therefore Sadie and Eric are 8 meters apart from each other.