2 years ago

Please help!! I will give correct answer brainelest! 15 points!

Mathematics

1 answer:

4vir4ik [10]2 years ago

7 0

Minimum is 40

First quartile is 43

Median is 61

Third quartile is 65

Maximum is 97

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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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2 years ago

an item is regularly priced $70. it is now priced at a discount of 20% off the regular price. what is the price now?

AVprozaik [17]

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Akimi4 [234]

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gogolik [260]

Answer:

Step-by-step explanation:

X=5/4z - 7/4

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