Answer: 
<u>Step-by-step explanation:</u>

Answer:
Total distance = 5.754 km
Step-by-step explanation:
Red lines of the right triangle show the layout of the race course.
Total length of the race course = Perimeter of the triangle
Perimeter of the triangle = Sum of the measures of all three sides
= 1.83 + 1.524 + 2.4
= 5.754 km
Therefore, total distance of the race course is 5.754 km.
Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.
Substituting the terms of the equation and the derivative of r´, as follows,

Doing the operations inside of the brackets the derivatives are:
1 ) 
2) 
Entering these values of the integral is

It is possible to factorize the quadratic function and the integral can reduced as,

Thus, evaluate from 0 to 16
The value is 
1st piece = x
2nd piece = x+2
3rd piece = x+2+3 = x+5
37 = x +x+2 + x+5 =
37 = 3x+7
30=3x
x = 30/3 = 10
1st piece = 10 inches
2nd piece = 10+2 = 12 inches
3rd piece = 10+5 = 15 inches
Answer:
a part of a line that has one endpoint and extends indefinitely in one direction
Step-by-step explanation:
a ray has one endpoint, then has an arrow going indefinitely in one direction.