The lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
<h3>What is the value of golden ratio?</h3>
The value of golden ratio is equal to 1.618. It can also be given as (1+√5)/2.
A 12 inch line segment is divided into the two parts in a particular ratio. Let suppose the line segment is AC which is divided into AB and BC parts. Thus,
AB+BC=AC
AB+BC=12 ....1
The ratio of both segment is equal to golden ratio. Thus
Put this value in equation one as,
AB+7.4166=12
AB=4.5834
Hence, the lengths of segment which is the part of a 12 inch line segment closest to the golden ratio, (1+√5)/2 are 7.4166 inch and 4.5834 inch.
Learn more about the golden ratio here;
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Hello!
To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.
x+y=9
x=2y-9
To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.
2y-9+y=9
3y-9=9
3y=18
y=6
We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.
x=2·6-9
x=12-9
x=3
Just to check, we will plug these two numbers into the first equation.
3+6=9
9=9
Our two numbers are three and six.
I hope this helps!
Answer: total books = 180
Step-by-step explanation:
Given: Poetry section of the library has 6 bookcases.
Number of shelves in each bookcase = 3
Total shelves = (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)
= 3 x 6
= 18
Number of books in each shelf = 10
Total books = (number of shelves) x 10
= 18 x 10
= 180
hence, total books in the poetry section= 180