Is the golden ratio a coincidence or grand design

1 answer:

3 0

The Golden number is one of the roots of x²-x-1=0 and x = (1+√5)/2= 1.618
It's just a mathematical constant you can come across in trigonometry, geometry, sequence like Fibonacci and others. You may find it in fractals also and in many shapes in the nature but not necessarily always true.

It might be a coincidence in some natural shapes, but definitely it is a recognized math contant useful in many math domains

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Simplify 3( j+2 ) - 2

Scorpion4ik [409]

Answer: 3j +4

3(j)+ 3(2) = 3j+ 6 - 2 = 3j +4

Hope this helps

3 0

3 years ago

Read 2 more answers

Calculate the perimeter of a square whose diagonal measures 29 dm.

mojhsa [17]

Answer:

$4\sqrt{420.5}$ dm

Step-by-step explanation:

A square's diagonal cuts across the square, making two right triangles where the diagonal is the hypotenuse.

We have a right triangle with a hypotenuse of 29, and two legs that are the same length (because they are sides of a square)

So, we can use pythagoreans theorem to find the lengths of the legs, or sides of the square.

$a^2 + a^2 = 29^2$

$2a^2 = 841$

$a^2 = 420.5\\$

$a = \sqrt{420.5}$

Now that we have a side length of $\sqrt{420.5}$ , we just have to multiply that by 4, since a square has 4 sides. This leaves us with a final perimeter of: