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.
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Answer:
x=-43/5
Step-by-step explanation:
Answer:
25.5 degrees
Step-by-step explanation:
Let the first angle be x degrees, and second angle be y degrees.
<u>Condition # 1:</u>
x = 5y - 13 --------------------(1)
<u>Condition # 2:</u>
x + y = 140 -------------------(2)
Put Eq. (1) in (2)
5y - 13 + y = 140
5y + y - 13 = 140
6y - 13 = 140
Add 13 to both sides
6y = 140 + 13
6y = 153
Divide both sides by 6
y = 25.5 degrees
Now, put the value of y in Eq. (1)
x = 5(25.5) - 13
x = 127.5 - 13
x = 114.5 degrees
<u>So, the measure of smaller angle is:</u>
= 25.5 degrees
Hope this helped!
<h3>~AH1807</h3>
Answer:
187.775
Step-by-step explanation:
20.3×9.25=
187.775
The function to represent the problem is f(x)=6x+24 and the range is 30y48.
<h3>What is arithmetic sequence formula?</h3>
If the terms of a sequence differ by a constant, we say the sequence is arithmetic. If the initial term () of the sequence is a and the common difference is d, then we have,
=a+(n-1)d
Initial number of clients=30
Number increase per week= 6
So, we can make an arithmetic sequence fir six weeks
30,36,42,48
Here, first term, a=30
Common difference, d=6
Range is [30,48]
The explicit formula of an arithmetic sequence is
=a+(n-1)d
Put a=30, d=6, n=x
=30+(x-1)6
=30+6x-6
=6x+24
Therefore, The function to represent the problem is f(x)=6x+24 and the range is 30<=y<=48
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