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Reika [66]
3 years ago
7

can you show me how to get the answer to A chef makes 3 containers of soup that fill a total of 120 bowls. Each container of sou

p costs $30 to make. What is the cost per bowl for the soup? (multi-step problem) I came up with $4.00 per bowl.
Mathematics
1 answer:
anastassius [24]3 years ago
3 0
I think the cost is less than a dollar. 1 container of soup has 120/3 = 40 bowls
if 1 container costs $30; each bowl costs: 30/40 = $0.75
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Answer:

-\dfrac{7}{25}

Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<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)

Using the trig ratio formulas for cosine and sine:

  • \cos(\angle ABC)=\dfrac{3}{5}
  • \sin(\angle ABC)=\dfrac{4}{5}

Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
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Answer:

C

Step-by-step explanation:

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2 years ago
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Is y= 1 - x linear or nonlinear
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3 years ago
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chubhunter [2.5K]
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We now have cosJ so plug that into your calculator and find arccos (arccos(cos(J)) = J)
arccos(409/494)=34.11
rounding your answer will give you 34°
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ra1l [238]

Answer:

x = \frac{11}{c}

Step-by-step explanation:

Given

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x = \frac{11}{c}

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