Answer:
The volume of the larger solid is ![592.6\ mm^3](https://tex.z-dn.net/?f=592.6%5C%20mm%5E3)
Step-by-step explanation:
<u><em>The question is</em></u>
If these solids are similar, find the volume of the larger solid
step 1
Find the scale factor
we know that
If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
Let
x ----> the height of the larger solid in mm
y ----> the height of the smaller solid in mm
z ---> the scale factor
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=4\ mm\\y=3\ mm](https://tex.z-dn.net/?f=x%3D4%5C%20mm%5C%5Cy%3D3%5C%20mm)
substitute
---> scale factor
step 2
Find the volume of the larger solid
we know that
If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
x ----> the volume of the larger solid in cubic millimeters
y ----> the volume of the smaller solid in in cubic millimeters
z ---> the scale factor
![z^3=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E3%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![y=250\ mm^3](https://tex.z-dn.net/?f=y%3D250%5C%20mm%5E3)
substitute the values
![(\frac{4}{3})^3=\frac{x}{250}](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B3%7D%29%5E3%3D%5Cfrac%7Bx%7D%7B250%7D)
solve for x
![(\frac{64}{27})=\frac{x}{250}](https://tex.z-dn.net/?f=%28%5Cfrac%7B64%7D%7B27%7D%29%3D%5Cfrac%7Bx%7D%7B250%7D)
![x=250(\frac{64}{27})](https://tex.z-dn.net/?f=x%3D250%28%5Cfrac%7B64%7D%7B27%7D%29)
![x=592.6\ mm^3](https://tex.z-dn.net/?f=x%3D592.6%5C%20mm%5E3)
Answer:
1863/275=6.7745recurring
Step-by-step explanation:
Dont u have a calculator
Answer:
2(x-5)=6x
Step-by-step explanation:
Answer:
13/7 - (14/21 + 15/21)
Step-by-step explanation:
= 13/7 - ( 29/21)
= 39/21 - 29/21 = 10/21 = 0.47
If you were to find a steep slope you have to look at its vertical movement. If it were greater then it is steep.