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4 years ago

How to graph 5x-y>or equal to 1

Mathematics

1 answer:

andreev551 [17]4 years ago

3 0

Whenever I graph linear equations/inequalities, I rewrite in slope-intercept form. Just remember the correct line type (dotted or solid) and where to shade (above or below)

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arlik [135]

Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

To find:

The value of $\cos \theta$ .

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

$Hypotenuse=\sqrt{(3x)^2+(5x)^2}$

$Hypotenuse=\sqrt{9x^2+25x^2}$

$Hypotenuse=\sqrt{34x^2}$

$Hypotenuse=x\sqrt{34}$

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos \theta=\dfrac{5x}{x\sqrt{34}}$

$\cos \theta=\dfrac{5}{\sqrt{34}}$

Therefore, the value of $\cos \theta$ is $\dfrac{5}{\sqrt{34}}$ .

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3 years ago

How much interest does a $318 investment earn at 9% over one year

Vinil7 [7]

The interest earned by $318 investment is 9/100 x 318= $28.62

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3 years ago

An elementary school is in a growing suburb. The schools principal estimates that the current enrollment of 750 students will in

Murrr4er [49]

Answer:

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Michael cycled a distance of 12 5/6 miles in 2/3 hours. What is his cycling unit rate in miles per hour?

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4 years ago

N0 If n=143 what is the answer a b or c

den301095 [7]

Answer:

Step-by-step explanation:

Well, anything multiplied by zero is zero.

If you multiplied 0 by 143, you wouldn't get anything because you're not multiplying with another number that can be multiplied by.

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3 years ago

Read 2 more answers