<h3>
Answer: approximately 0.19 meters long</h3>
The more accurate value is 0.18982439916059 but this value isn't exact
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Explanation:
The volume of this rectangular block is 0.24*0.19*0.15 = 0.00684 cubic meters.
If we had a cube of this volume, then it has some side length x such that x^3 = 0.00684
Apply the cube root to both sides. This is the same as raising both sides to the 1/3 power
![x^3 = 0.00684\\\\x = \sqrt[3]{0.00684}\\\\x = (0.00684)^{1/3}\\\\x \approx 0.18982439916059\\\\x \approx 0.19\\\\](https://tex.z-dn.net/?f=x%5E3%20%3D%200.00684%5C%5C%5C%5Cx%20%3D%20%5Csqrt%5B3%5D%7B0.00684%7D%5C%5C%5C%5Cx%20%3D%20%280.00684%29%5E%7B1%2F3%7D%5C%5C%5C%5Cx%20%5Capprox%200.18982439916059%5C%5C%5C%5Cx%20%5Capprox%200.19%5C%5C%5C%5C)
The side length of the cube is approximately 0.19 meters long
Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm
For 1 multiply both sides by 3 which gives you 3y-y=12. Then combine like terms 2y=12. Lastly divide both sides by 2 and you get y=6. And for 3 first multiply both sides by 4 which gives you 6y-32=y+8. After that combine like terms 6y-y-32=8. Now add the equation together 5y=40 and then divide by 5 and get y=8
Answer:
The independent variable is the amount of miles walked, and the dependent is the total from home.
Step-by-step explanation:
Answer:
n=2
Step-by-step explanation:
14=6n+6-2n
Combine like terms
14 = 4n+6
Subtract 6 from each side
14 -6 = 4n+6-6
8 = 4n
Divide by 4
8/4 = 4n/4
2 =n
