Answer: ![\pi =\frac{47.1}{15}](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cfrac%7B47.1%7D%7B15%7D)
Step-by-step explanation:
The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "
In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:
1. ![C=\pi D](https://tex.z-dn.net/?f=C%3D%5Cpi%20D)
Where "C" is the circumference of the circle and "D" is the diameter of the circle.
2. ![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
Where "C" is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).
In this case, the exercise gives you the circumference of the circle and its diameter. These are:
![C=47.1\\\\d=15](https://tex.z-dn.net/?f=C%3D47.1%5C%5C%5C%5Cd%3D15)
Then, knowing those values, you can substitute them s into the first equation
, as following:
![47.1=\pi (15)](https://tex.z-dn.net/?f=47.1%3D%5Cpi%20%2815%29)
The final step is to solve for
:
![\pi =\frac{47.1}{15}](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cfrac%7B47.1%7D%7B15%7D)
Answer:
![x=119119,\;\;\;y=119119](https://tex.z-dn.net/?f=x%3D119119%2C%5C%3B%5C%3B%5C%3By%3D119119)
Step-by-step explanation:
Let the
be the first number,
be the second number and
be the product of the first and second number.
i.e
![\Rightarrow x=238238-y](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D238238-y)
![p=xy](https://tex.z-dn.net/?f=p%3Dxy)
![\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2](https://tex.z-dn.net/?f=%5CRightarrow%20p%3D%28238238-y%29y%5C%5C%5CRightarrow%20p%3D238238y-y%5E2)
![\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7Bdp%7D%7Bdy%7D%20%3D238238-2y%5C%5C%5CRightarrow%200%3D238238-2y%5C%5C%5CRightarrow%202y%3D238238%5C%5C%5CRightarrow%20y%3D119119)
Now,
![x=238238-119119\\\\ \Rightarrow x=119119](https://tex.z-dn.net/?f=x%3D238238-119119%5C%5C%5C%5C%20%5CRightarrow%20x%3D119119)
Hence, ![x=119119,\;\;\;y=119119](https://tex.z-dn.net/?f=x%3D119119%2C%5C%3B%5C%3B%5C%3By%3D119119)
(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles
Answer:
step 1. 6x2=12 first place way
step 2. 12×2=24
step 3. 24+6=30 second place way