Answer: Angle C = 51.5°
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo.
we would apply the law of Cosines which is expressed as
c² = a² + b² - 2bcCosC
Where a,b and c are the length of each side of the triangle and C is the angle corresponding to c.
Therefore,
18² = 23² + 14² - 2(23 × 14)CosC
324 = 529 + 196 - 2(322)CosC
324 = 725 - 644CosC
644CosC = 725 - 324
644CosC = 401
CosC = 401/644
CosC = 0.623
C = Cos^- 1(0.623)
C = 51.5° to the nearest tenth
Answer:
Step-by-step explanation:
Let x represents the number of hours and y represents the number of miles.
We are told that Luz drives at an average speed of 45 miles per hour. She has driven for 3 hours and has traveled a distance of 135 miles.
We can see from our given information that slope of line is 45 as with each increase in number of hours (x), change in distance (y) is 45.
Since the equation of line in point-slope form is : , where m represents slope of line and
represents a point the line passes through.
Upon substituting our given values in point-slope form of equation we will get,
Therefore, the equation represented in point-slope form will be: .