Answer:
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Since V = (4/3) pi*r^3, r^3 = V / [(4/3)*pi ].
1200 ft^3
Here, r^3 = ---------------
[(4/3)*pi ]
Evaluate this, and then take the cube root of your result, and then you'll have the radius.
Once you have this radius, the surface area will be A = 4*pi*r^2.
Because the factors in the numerator cancel with the factors in the denominator. Consider this example:
![\dfrac{6^7}{6^4} = \dfrac{6\times6\times6\times6\times6\times6\times6}{6\times6\times6\times6} = 6\times6\times6 = 6^3 = 6^{7-4}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B6%5E7%7D%7B6%5E4%7D%20%3D%20%5Cdfrac%7B6%5Ctimes6%5Ctimes6%5Ctimes6%5Ctimes6%5Ctimes6%5Ctimes6%7D%7B6%5Ctimes6%5Ctimes6%5Ctimes6%7D%20%3D%206%5Ctimes6%5Ctimes6%20%3D%206%5E3%20%3D%206%5E%7B7-4%7D%20)
All of the 6's in the denominator canceled with the 6's in the numerator, and only 3 6's "survived". The opposite can also happen, if there are more terms in the denominator:
![\dfrac{2^2}{2^4} = \dfrac{2\times 2}{2\times 2\times 2 \times 2} = \dfrac{1}{2^2} = 2^{-2} = 2^{2-4}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B2%5E2%7D%7B2%5E4%7D%20%3D%20%5Cdfrac%7B2%5Ctimes%202%7D%7B2%5Ctimes%202%5Ctimes%202%20%5Ctimes%202%7D%20%3D%20%5Cdfrac%7B1%7D%7B2%5E2%7D%20%3D%202%5E%7B-2%7D%20%3D%202%5E%7B2-4%7D%20)
So, everything is coherent
Answer:
Any numbers above -5 make this inequality true. Values that will make the inequality true: -4, -3, -2, -1, 0, 1...
Answer: m∠IJH = m∠JHL because they are Alternate Interior Angles
Step-by-step explanation: