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2 years ago

Jessica can walk 2 1/2 miles in 3/4 of an hour. What is her speed in miles per hour?

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

5 0

Answer:

3 1/3 miles

Step-by-step explanation:

Find the unit rate. 2 1/2 is the numerator because distance is usually the numerator when it comes to unit rates. 3/4 is the denominator.

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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

Which of the following expression is equivalent to sin(5x) ?

RSB [31]

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2 years ago

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loris [4]

Answer:
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Is this what u were looking for? Sorry if not XDD

</span>

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3 years ago

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S_A_V [24]

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Mashcka [7]

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