3 years ago

How many different ways can the first twelve letters of the alphabet be arranged?

Mathematics

2 answers:

Reika [66]3 years ago

8 0

There are 3628800 ways to arrange those letters.

Marta_Voda [28]3 years ago

8 0

12!
12!=12*11*10*9*8*7*6*5*4*3*2*1
=479001600

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The areas of the squares adjacent to two sides of a right triangle are shown below.

UkoKoshka [18]

Answer:

$85\:\mathrm{units^2}$

Step-by-step explanation:

All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.

All right triangles must follow the Pythagorean Theorem $a^2+b^2=c^2$ where $c$ is the hypotenuse of the triangle.

Therefore, let $h$ be the side length of this largest square. Since the area of a square with side length $s$ is given by $s^2$ , $h^2$ will represent the area of the square: