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alukav5142 [94]
1 year ago
11

You should be able to find this

Mathematics
1 answer:
Nastasia [14]1 year ago
3 0

Answer:

\frac{1}{2}

Step-by-step explanation:

sin(cos^{-1} \frac{\sqrt{3} }{2} )

using the sides of the 30- 60- 90 triangle

with legs 1, \sqrt{3} and hypotenuse 2 , then

cos^{-1} \frac{\sqrt{3} }{2} = 30° and

sin30° = \frac{1}{2}

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Aliun [14]

Answer: 1 2/3

Step-by-step explanation:

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Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50
VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Let:</em>

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

\texttt{ }

<em>Jaces songs were played on 6 more commercials than movies.</em>

\boxed{C = 6 + M} → <em>Equation 1</em>

\texttt{ }

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

\boxed{50C + 140M = 680} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1  ↔ Equation 2 :</em>

50C + 140M = 680

50 ( 6 + M ) + 140M = 680

300 + 50M + 140M = 680

190M = 680 - 300

190M = 380

M = 380 \div 190

M = 2

\texttt{ }

C = 6 + M

C = 6 + 2

C = 8

\texttt{ }

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0
3 years ago
Simplify expression (-9)
Anarel [89]

Answer:

-9

Step-by-step explanation:

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3 years ago
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Find the selling price of a $249.50 cell phone with a 30% markup
algol [13]

Answer:

$324.35

Step-by-step explanation:

249.50x74.80=74.85. markup=add, 74.85+249.50=324.35

3 0
3 years ago
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