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3 years ago

Alex wants to write the number 100,000 using a base of 10 and an exponent what number should we use as an exponent

1 answer:

5 0

The number 100,000 (one hundred thousand) has five zeros. So 5 should be the exponent over 10.

In other words, 10^5 = 100,000

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A more formal way to find the exponent is to use logs. Specifically use log base 10. Many calculators use base 10 by default.

Type in "log(100000)" without quotes and the result will be 5

So log(100000) = 5 helping confirm that 10^5 = 100000.

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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

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Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

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That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

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