3 years ago

What is 91,284 rounded to the nearest hundred thousand

1 answer:

5 0

If this is asking for the nearest hundred thousand, and not ten thousand, than you would round up to 100,000. 91,284 is close to 100,000.

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A rectangular box has a volume x^3-64 cubic inches. If the height of the box x-4 inches, what is the area of the base of the box

Zanzabum

Answer:

$\purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$

Step-by-step explanation:

$\because \: V_{box} = A_{base} \times height \\ \\ \therefore \: A_{base} = \frac{V_{box}}{height} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - 64}{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ {x}^{3} - {4}^{3} }{(x - 4)} \\ \\ \therefore \: A_{base} = \frac{ \cancel{ ({x} - {4})}( {x}^{2} + 4x + {4}^{2} )}{\cancel{ ({x} - {4})}} \\ \\ \purple{ \bold{ \therefore \: A_{base} = {x}^{2} + 4x + 16}}$