The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the triangle,
hypotenuse = 14
one leg = 9
other leg = x
Thus, we have
To the nearest tenth, the length of the third side is 10.7
Part A: is the equation of the line.
Part B: Anika worked 17.5 hours on day 0.
Part C: The setup time decreases with 1 hour and 15 min per day.
Explanation:
Part A: Let us find the equation of the line using the points (2,15) and (6,10)
The equation of the line is given by,
Substituting, we get,
Simplifying, we have,
Subtracting both sides by 15, we get,
Hence, the equation of the line is
Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.
Thus, we get,
Hence, Anika worked 17.5 hours on day 0.
Part C: The setup time decrease per day can be determined using the slope.
The formula for slope is given by
Substituting , we have,
Converting the fraction into hours and minutes, we get,
Since, 1 hour = 60 min
Subtracting 60 and 75 = 15 min
Thus, the setup time decreases with 1 hour and 15 min per day.
