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faltersainse [42]
3 years ago
13

Marcus is buying taco shells for a party. There will be 13 adults and 17 children

Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0

Answer:

Tacos for adults: 13*3

Tacos for children: 17*1

Total: 39+17

=56

And in each package there will be 8 tacos

So, 56/8 = 7 = No. of tacos needed.

So the corrrect answer is<u> A 7, because (13 x 3 + 17) + 8 = 7</u>

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Step-by-step explanation:

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2 years ago
Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will
slavikrds [6]

Answer:

\text{tan}(\theta)=\frac{\sqrt{119}}{5}

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity \text{sin}^2(\theta)+\text{cos}^2(\theta)=1. She is told that 0\leq \theta\leq \frac{\pi}{2} and \text{cos}(\theta)=\frac{5}{12}.

First of all, we will find value of sine theta using the given identity.

\text{sin}^2(\theta)+\text{cos}^2(\theta)=1

\text{sin}^2(\theta)+(\frac{5}{12})^2=1

\text{sin}^2(\theta)+\frac{25}{144}=1

\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}

\text{sin}^2(\theta)=\frac{144-25}{144}

\text{sin}^2(\theta)=\frac{119}{144}

\text{sin}(\theta)=\sqrt{\frac{119}{144}}

\text{sin}(\theta)=\frac{\sqrt{119}}{12}  

\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}

\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}

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Therefore, \text{tan}(\theta)=\frac{\sqrt{119}}{5}.

5 0
3 years ago
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