Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

By Similar solids theorem, if two similar solids have a scale factor of
, then corresponding volumes have a ratio of 
Then:

Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
First thing First. You must find have a common denominator. If you want to find it then you do this
3: 3 6 9 12 15 18 21
7: 7 14 21 28
Once you found a number they have in common (21) You do this next
3/7 * 3/3 = 9/21
2/3 * 7/7 = 14/21
Now the next thing you do is subtract your numerators but not the denominators
14-9=5
5/12
you cant simplified so your done! Hope this helps!!!! <span />
Answer:
The cost of wasted nitric acid is $187.02
Step-by-step explanation:
Since it is given that specific gravity of Nitric Acid is 1.42 Thus the density of nitric acid is

Now from the basic relation of mass volume and density we have

Since the mass of the nitric acid is given to be 5.112 kg = 5112 grams
Thus the volume of nitric acid is

Now we know that 1000 cubic centimeters euals 1 litrer
Thus the calculated volume in liters is

Thus the cost of acid spilled equals
Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.