The order of the rational numbers from least to greatest is 1 4/3, 4 1/3 and 4.35
<h3>How to order the rational numbers from least to greatest?</h3>
The numbers are given as:
4.35, 4 1/3, 1 4/3
Express the numbers as decimals
4.35, 4.33, 2.33
Order the number from least to greatest
2.33, 4.33, 4.35
Replace the converted numbers with their original form
1 4/3, 4 1/3 and 4.35
Hence, the order of the rational numbers from least to greatest is 1 4/3, 4 1/3 and 4.35
Read more about rational numbers at
brainly.com/question/13275694
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It's 25 units :) I recommend desmos graphing calculator for these types of problems good luck
Answer:
The pyramid with the greater volume has 5in^3 more sand
Step-by-step explanation:
Given
Pyramid A
-- Base Area
--- height
Pyramid B
![B = 30in^2](https://tex.z-dn.net/?f=B%20%3D%2030in%5E2)
![h = 7in](https://tex.z-dn.net/?f=h%20%3D%207in)
See attachment for pyramids
The volume of a square pyramid is:
![V = \frac{1}{3}Bh](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7DBh)
First, calculate the volume of pyramid A
![V_A = \frac{1}{3} * 25in^2 * 9in](https://tex.z-dn.net/?f=V_A%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%2025in%5E2%20%2A%209in)
![V_A = 25in^2 * 3in](https://tex.z-dn.net/?f=V_A%20%3D%2025in%5E2%20%2A%203in)
![V_A = 75in^3](https://tex.z-dn.net/?f=V_A%20%3D%2075in%5E3)
Next, the volume of pyramid B
![V_B = \frac{1}{3} * 30in^2 * 7in](https://tex.z-dn.net/?f=V_B%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%2A%2030in%5E2%20%2A%207in)
![V_B = 10in^2 * 7in](https://tex.z-dn.net/?f=V_B%20%3D%2010in%5E2%20%2A%207in)
![V_B = 70in^3](https://tex.z-dn.net/?f=V_B%20%3D%2070in%5E3)
To calculate how much more sand the greater pyramid has, we simply calculate the absolute difference (d) between their volumes
![d = |V_B - V_A|](https://tex.z-dn.net/?f=d%20%3D%20%7CV_B%20-%20V_A%7C)
![d = |70in^3 - 75in^3|](https://tex.z-dn.net/?f=d%20%3D%20%7C70in%5E3%20-%2075in%5E3%7C)
![d = |- 5in^3|](https://tex.z-dn.net/?f=d%20%3D%20%7C-%205in%5E3%7C)
![d = 5in^3](https://tex.z-dn.net/?f=d%20%3D%205in%5E3)
Answer:
The perimeter of △EFG is ![62\ units](https://tex.z-dn.net/?f=62%5C%20units)
Step-by-step explanation:
we know that
In the figure the smaller triangle and triangle EFG are similar by AA Similarity Theorem
so
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
<em>Find the length side EG</em>
![\frac{9}{EF}=\frac{14}{EG}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BEF%7D%3D%5Cfrac%7B14%7D%7BEG%7D)
substitute the given values
![\frac{9}{9+9}=\frac{14}{EG}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B9%2B9%7D%3D%5Cfrac%7B14%7D%7BEG%7D)
![\frac{9}{18}=\frac{14}{EG}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B18%7D%3D%5Cfrac%7B14%7D%7BEG%7D)
![\frac{1}{2}=\frac{14}{EG}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B14%7D%7BEG%7D)
![EG=14(2)=28\ units](https://tex.z-dn.net/?f=EG%3D14%282%29%3D28%5C%20units)
<em>Find the perimeter of △EFG</em>
![P=EF+EG+FG](https://tex.z-dn.net/?f=P%3DEF%2BEG%2BFG)
substitute
![P=2(9)+28+2(8)](https://tex.z-dn.net/?f=P%3D2%289%29%2B28%2B2%288%29)
![P=62\ units](https://tex.z-dn.net/?f=P%3D62%5C%20units)