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natima [27]
4 years ago
10

-40.04 – 12.76w = 36.52

Mathematics
1 answer:
Monica [59]4 years ago
4 0

0.275862069 or 0.27 I think

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Find the missing side lengths. Leave your answers as radicals in simplest form.
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Answer:

B  x = 3, y= 3

Step-by-step explanation:

<u />

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = 45°
  • O = x
  • A = y
  • H = 3\sqrt{2}

\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}

\implies x=3\sqrt{2}\sin(45^{\circ})

\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}

\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}

\implies x=\dfrac{3 \cdot 2}{2}=3

\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}

\implies y=3\sqrt{2}\cos(45^{\circ})

\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}

\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}

\implies y=\dfrac{3 \cdot 2}{2}=3

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2 years ago
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The answer is B since the equation consists of multiplication. B has Michael buying 7 pass for 5.50 each. A has Marcos buying 7 candies for a total of 5.50 meaning that they used addition. B used multiplication for the 5.50 (tickets each) x 7 (ticket number).

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Answer:

Option A (0,a)

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we know that

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therefore

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