Answer:
x=2.25
Step-by-step explanation:
ΔABC and ΔADE are similar.
∴ sides are proportional.
![\frac{5}{1} =\frac{x+9}{x} \\5=\frac{x}{x} +\frac{9}{x} \\5=1+\frac{9}{x}\\\frac{9}{x}=5-1\\\frac{9}{x}=4\\x=\frac{9}{4}=2.25](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B1%7D%20%3D%5Cfrac%7Bx%2B9%7D%7Bx%7D%20%5C%5C5%3D%5Cfrac%7Bx%7D%7Bx%7D%20%2B%5Cfrac%7B9%7D%7Bx%7D%20%5C%5C5%3D1%2B%5Cfrac%7B9%7D%7Bx%7D%5C%5C%5Cfrac%7B9%7D%7Bx%7D%3D5-1%5C%5C%5Cfrac%7B9%7D%7Bx%7D%3D4%5C%5Cx%3D%5Cfrac%7B9%7D%7B4%7D%3D2.25)
Answer:
Hence the volume of the cone is 31384.52 cubic feet
Step-by-step explanation:
We must first need to understand how the volume of a cone is calculated.
It is simply calculated by multiplying the base area of the cone by the height, and dividing the result by 3.
This is :
Volume of cone = ![\frac{\pi r^2 h}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20r%5E2%20h%7D%7B3%7D)
we are not given the base area of the cone. However, we are given the circumference from which we can get the radius of the base.
Circumference =
![2 \pi r=125.6ft\\r =125.6/2 \pi=19.99ft](https://tex.z-dn.net/?f=2%20%5Cpi%20r%3D125.6ft%5C%5Cr%20%3D125.6%2F2%20%5Cpi%3D19.99ft)
hence the volume of the cone is
![\frac{\pi (19.99)^2 75}{3}=31384.52ft^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%2819.99%29%5E2%2075%7D%7B3%7D%3D31384.52ft%5E%7B3%7D)
Hence the volume of the cone is 31384.52 cubic feet
Well, if the notebooks cost x, then you know that
3x + 45.87 = 60.54
right? so, solve for x. 60.54 - 45.87 = 14.67
Divide the difference by 3.
All you have to do is just put the same variable on the same side as each other.
The value of
is 720
<h3>How to solve the expression?</h3>
The expression is given as:
![^6P_6](https://tex.z-dn.net/?f=%5E6P_6)
The permutation formula is:
![^nP_r = \frac{n!}{(n - r)!}](https://tex.z-dn.net/?f=%5EnP_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28n%20-%20r%29%21%7D)
So, we have:
![^nP_r = \frac{6!}{(6 - 6)!}](https://tex.z-dn.net/?f=%5EnP_r%20%3D%20%5Cfrac%7B6%21%7D%7B%286%20-%206%29%21%7D)
Evaluate the difference
![^nP_r = \frac{6!}{0!}](https://tex.z-dn.net/?f=%5EnP_r%20%3D%20%5Cfrac%7B6%21%7D%7B0%21%7D)
0! = 1.
So, we have:
![^nP_r = 6!](https://tex.z-dn.net/?f=%5EnP_r%20%3D%206%21)
Evaluate the factorial
![^6P_6 = 720](https://tex.z-dn.net/?f=%5E6P_6%20%3D%20720)
Hence, the value of
is 720
Read more about permutation at:
brainly.com/question/11732255
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