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3 years ago

Find the approximate side length of a square game board with an area of 192 in2.

Mathematics

2 answers:

padilas [110]3 years ago

8 0

Squares have 4 equal sides, thus, the answer is 48 in^2.

brilliants [131]3 years ago

5 0

Look it's a square therefor it will have 4 sides hence the answer will be 48 /2 which is 16

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Soloha48 [4]

Answer:

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Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

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$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

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Substitute 216 for x

$f(x) = \sqrt[3]{216}$

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So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

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$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

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Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

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$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

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