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Diano4ka-milaya [45]
3 years ago
15

Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.

Mathematics
1 answer:
kompoz [17]3 years ago
5 0

For this case we must divide the following expression:

\frac {413} {129}

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

3 \frac {26} {129}

Verifying:

3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}

Answer:

3 \frac {26} {129}

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Suppose a study of population 400,000 has been growing at rate of 7% per year if this rate continues find the population of this
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Answer:

680,000

Step-by-step explanation:

Population before growing rate: 400,000

Growing rate: 7%

Duration: 10 years

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First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.

400,000 x 7/100 = 28,000

So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.

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This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.

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You read 50 pages in an hour your sister reads 40 pages in an hour how many more pages did you read than your sister reads in 1/
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Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
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The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

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