The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
<h3>What is trigonometry?</h3>Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be
Then add 180 degrees, then we have
Then the value of the cosine will be
More about the trigonometry link is given below.
Let be the number of hours worked at Job A and
the number of hours at Job B. Then
and
From the first equation,
and substituting this into the second gives
Answer:
Number 7:
This graph displays the change in wage per years of service. Since the slope is positive, this means the wage has a positive growth.
Number 8:
This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.
Step-by-step explanation:
Number 7:
Step 1: Identify the points on the line to use for slope formula.
The two points are (2, 11) and (6, 17).
and
will be
and
will be
Step 2: Plug in points into slope formula.
Step 3: Subtract.
Step 4: Simplify.
improper fraction:
mixed number:
decimal:
Number 8:
Step 1: Identify the points on the line to use for the slope formula.
The two points are (3, 1200) and (6, 800)
and
will be
and
will be
Step 2: Plug in points into slope formula.
Step 3: Subtract.
Step 4: Simplify.
Cannot be simplified further.
mixed number:
decimal:
