The length of arc PS from the information given in the task content is; 31.5 ft.
<h3>What is the length of the arc PS?</h3>
It follows from the task content that;
- Point T is the center of the circle and line TR is the radius of the circle.
- Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.
On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
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To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:

Where
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:


3- Use the coordinates of the point
to calculate the y-intercept:

4. Solve for
:

5. The equation of the line
is:

The answer is: 
Answer: 5.3 Hours
Step-by-step explanation: 140 mi there at 56 mi per hour would be 2.5 hours. Then back 140 mi at 50 mi/h would be 2.8. 2.5 plus a 2.8 is 5.3 hours
Answer:
1970.5 thousand
Step-by-step explanation:
Given
Vehicle sales in 2009 = 10,002 thousand
Vehicle sales in 2013 = 17,884 thousand
Required
Determine the average rate of change;
From the given parameters, it can be seen that the number of vehicles is a function of year
Let x represent the years and y represent the number of vehicles;
Such that;


The rate of change is calculate as follows;





Hence, the average rate of change is 1970.5 thousand