The model shows the addition expression 18 + 12.

What is the reference angle of -139 degrees

katrin [286]

41º

1) Since we want to find the reference angle for a -139º angle, we need to resort to the following formula

$Reference\:Angle\:\:Quadrant\:III=180^{\circ}-139^{\circ}=41^{\circ}$

2) Note that a -139 angle is in quadrant III, since negative angles are clockwise oriented

3) Thus the Reference Angle is 41º

6 0

2 years ago

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Inverse functions <br><br><br>f (x) = -3x +2 find f -1 (7)

jekas [21]

$y = f(x) \\ \\ x = f^{-1} (y)$

Therefore, set y = 7
$y = -3x+2 = 7$

Solve for x

7 0

3 years ago

Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin

Allisa [31]

There are 12 project managers that are employed by Mr. Wells

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

<em>Let us tackle the problem!</em>

$\texttt{ }$

This problem is about Directly Proportional.

<em>There were 8 engineers under every team leader.</em>

$\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}$

$\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}$

$\texttt{ }$

<em>There were 5 project managers for every 50 engineers.</em>

$\texttt{50 engineers} \rightarrow \texttt{5 project managers}$

$\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}$

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

7 0

4 years ago

renee is a sales associate at a store. she earns $80 a week plus a 15% commission on her sales. last week, she sold $200 with of

nataly862011 [7]

First, find the commission by doing rate*total so .15*200 =30 . She made $30 off commission. Then add it to the preexisting $80 per week and you get $110

3 0

3 years ago

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What is the value of y=2x−5 when x=7?

svet-max [94.6K]

Answer:

9

Step-by-step explanation:

plus the number that stands for x, 7, into the equation

do multiplication first!

2 × 7 = 14

now subtract

14 - 5 = 9

y=9

3 0

3 years ago

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