Answer:
Length=10 Inches
Width=10 Inches
Step-by-step explanation:
Volume of the box ![=800in^3](https://tex.z-dn.net/?f=%3D800in%5E3)
Height=8 Inches
Base Perimeter =40 Inches
Volume of a box=lbh
SInce h=8 in, V=800.
Then:
8bl=800
bl=100
![l=\frac{100}{b}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B100%7D%7Bb%7D)
Base Perimeter=40 Inches
Perimeter of the Base= 2(l+b)
Therefore: 2(l+b)=40
Substituting ![l=\frac{100}{b}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B100%7D%7Bb%7D)
![2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch](https://tex.z-dn.net/?f=2%28%5Cfrac%7B100%7D%7Bb%7D%2Bb%29%3D40%5C%5C%5Cfrac%7B100%2Bb%5E2%7D%7Bb%7D%3D20%5C%5C%24Cross%20Multiply%5C%5C100%2Bb%5E2%3D20b%5C%5Cb%5E2-20b%2B100%3D0%5C%5C%24Solving%20the%20quadratic%20equation%20%5C%5Cb%5E2-10b-10b%2B100%3D0%5C%5Cb%28b-10%29-10%28b-10%29%3D0%5C%5C%28b-10%29%28b-10%29%3D0%5C%5Cb-10%3D0%20%28Twice%29%5C%5Cb%3D10%20%5C%3AInch)
Recall:
![l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B100%7D%7Bb%7D%3D%5Cfrac%7B100%7D%7B10%7D%5C%5Cl%3D10%20Inch)
Therefore:
Length=10 Inches
Width=10 Inches
Answer:
- We would use the explicit formula
Step-by-step explanation:
<u>The recursive formula is good to find the next term, example:</u>
<u>You would need the explicit formula to find any term, example:</u>
Complementary angles add together to equal 90 degrees.
R = 90 - 33.8
R = 56.2 degrees.
Answer:
it’s correct
Step-by-step explanation:
Answer:
9/5
Step-by-step explanation: