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Neporo4naja [7]
3 years ago
5

Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey

Mathematics
2 answers:
BigorU [14]3 years ago
5 0

Answer:

455 cupcakes

Step-by-step explanation:

<h3>If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.</h3>
ryzh [129]3 years ago
4 0

Answer:

35

Step-by-step explanation:

175/5

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Given:

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

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The value of \cos \theta.

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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}

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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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