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Pachacha [2.7K]
4 years ago
6

Jada received a $20 dollar iTunes gift card for her birthday. She download 6 songs which each cost $0.97 and 1 app which cost $2

.64 how much money js left on jade gift card
Mathematics
2 answers:
nydimaria [60]4 years ago
7 0
6 times $0.97 plus $2.64 minus 20 equals $11.54 remaining on the gift card.
ale4655 [162]4 years ago
5 0

Answer:

Step-by-step explanation: 0.97 times 6 to get 5.82

Then 2.64 plus 5.82 to get 8.46

Lastly 20 - 8.46 = 11.54

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A person on a lake sees a plane flying overhead. The angle formed by his line of sight to the plane is 39°; If the plane is flyi
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⊱─━━━━━━━⊱༻●༺⊰━━━━━━━─⊰

\large \sf \dagger \: {Problem: \dagger}

A person on a lake sees a plane flying overhead. The angle formed by his line of sight to the plane is 39°; If the plane is flying about 5000 ft, find the horizontal ground distance between the person and the plane.

⊱─━━━━━━━⊱༻●༺⊰━━━━━━━─⊰

\large \sf \dagger \: {Solution: \dagger}

  • Let x = horizontal ground distance between the person and the plane.

\qquad\bigstar \: \large \sf{Equation: tan \: 39 \degree = \frac{5000}{x} }

Solving the equation,

\large\qquad \implies\tt{tan \: 39\degree =  \frac{5000}{x}}

\large\qquad \implies \tt{x(tan \: 39 \degree) = \cancel{ x} \large{(} \frac{5000}{ \cancel{x}} \large{)}}

\large\qquad\implies \tt \cancel{ \frac{x \: tan \: 39 \degree}{tan \: 39 \degree}}  =  \frac{5000}{tan \: 39 \degree}

\large\qquad \implies \tt{x =  \frac{5000}{tan \: 39\degree}}

\large \qquad \implies \tt{x  \approx  \pmb{6174.48758}}

Checking the solution,

  • \large\tt{tan \: 39 \degree  =  \frac{5000}{x}}

  • \large \tt{ tan \: 39 \degree =  \frac{5000}{6174.48758}}

  • \large\tt{0.80978 = 0.80978}

<h3>------------------------------</h3>

\large \sf \dagger \: {Answer: \dagger}

  • The horizontal distance between the person and the plane is approximately 6174 ft.

\qquad \rule{200pt}{3pt}

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