Answer:
Step-by-step explanation:
The dog's route and final facing direction are shown in the attached diagram.
<h3>Turns</h3>
The sequence of facing directions for right turns is ...
{N, E, S, W, N}
The sequence of facing directions for left turns is the reverse:
{N, W, S, E, N}
In total, the dog made 3 right turns and 2 left turns. The net change in facing direction is 3-2 = 1 right turn. The dog's initial facing direction is north, so its final facing direction is east, one right turn from north.
<h3>Distance</h3>
The distances traveled are ...
N 4, E 1, S 5, E 2, N 5.
The net change in position is north (4-5+5) = 4 miles, and east (1 +2) = 3 miles. The distance between the final point and the initial point is the hypotenuse of a right triangle with legs 4 miles and 3 miles. The Pythagorean theorem tells us that distance is ...
c² = a² +b²
c = √(a² +b²) = √(4² +3²) = √25 = 5
The smallest distance between the dog's final and initial points is 5 miles.
Answer:
pretty sure its d
Step-by-step explanation:
the quadrant one function has asymptotes at y=0 and x=0 so x and y have to stay positive
the quadrant three function has asymptotes at y=0 and x=0 so x and y have to stay negative
Answer:
D
Step-by-step explanation:
The sum of supplementary angles is 180°
To find the supplement of 60° subtract it from 180°, that is
second angle = 180° - 60° = 120° → D