The Bible, a book that is considered the perfect word of a perfect god tells us what the value of Pi is. Let's see verse 1 Kings 7:23
He also melted a sea of ten cubits from one side to the other, perfectly round; Its height was five cubits, and a cord of thirty cubits encircled it.
These are a list of specifications for the great temple of King Solomon, built about 950 BCE, and his interest here is that it gives a value of π = 3. If we divide 30 cubits between 10 cubits (which are the measures mentioned in written radical) gives us exactly 3.
We know that the length of the circumference is calculated l = 2 · π · r; Since 2 · r is the diameter, it can also be said that
circumference = diameter × π
If we go back to what the Bible says, the diameter is 5 meters and the circumference of 15:
circumference = diameter × π -> 15 = 5 × π
with which the value of π is 3.
This calculation of Pi is a bad approximation to the real value. The figure of 3 in the Bible compared with the real one which is 3.1416 ... indicates an error of about 6%.
Answer:
64
Step-by-step explanation:
Each side length is being multiplied by 8
This is a problem you need to solve using logs. When you use logs you can "pull" the exponents down in front of the log to get a new equation that looks like this: 2x^3 + x^2 log 81 = 6x - 3 log 27. Now divide both sides by log 81 and 6x - 3 simultaneously to get (2x^3 + x^2)/(6x - 3) = (log 27)/(log 81). If you do the log math on the right side you get .75. Now multiply both sides by 6x-3 to get 2x^3+x^2 = .75(6x-3). If you distribute that out on the left side you'll get 2x^3+x^2=4.5x-2.25. Now move everything over to the left side and set the whole thing equal to 0: 2x^3+x^2-4.5x+2.25=0. When you solve for x, you are in essence factoring, so do this by grouping: x^2(2x+1)-2.25(2x+1). Now finally factor out the 2x+1 to get (2x+1)(x^2-2.25). You're not done yet though cuz you need to solve each of those for x: 2x+1=0, and x= -1/2; x^2=2.25, and x=+/- 1.5. So all the values for x here are -1/2, 1.5, and -1.5
Looks complicated, sorry wish I could help
