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3 years ago

How do you determine whether to use 22/7 or 3.14 for π ?

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Answer:

Use the value the problem statement tells you. Otherwise, use a better approximation.

Step-by-step explanation:

π ≈ 3.141592653589793238... (a non-repeating infinite decimal)

3.14 = 3.14

22/7 = 3.142857142857_142857

355/113 = 3.14159292035... (a very long repeating decimal)

You can see that the third decimal place is wrong in both of your approximations. The last approximation shown has 7 good decimal digits. A good scientific or graphing calculator will have an internal value for pi that is good to 10 or 12 digits or more (preferably, at least 32 digits).

You should use a value for pi that has at least one more digit of accuracy than the number of significant digits in your answer.

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

natka813 [3]

Suppose that the height (in centimeters) of a candle is a linear function of

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Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

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$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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$m=\frac{17.5-24.5}{23-9}$

$m=-0.5$

$\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b$

$y=\left(-0.5\right)x+b$

$\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5$

$24.5=\left(-0.5\right)\cdot \:9+b$

$-4.5+b=24.5$

$b=29$

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$y=-0.5x+29$

Now plug in x=21, we get

$y=-0.5*21+29=18.5$

Thus the height of the candle after 21 hours is 18.5 centimeters.

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3 years ago

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frez [133]

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Explanation
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