three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.

WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?

A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet

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abiolataiwo2015 abiolataiwo2015 · Answer 1 · 2022-06-20T19:37:33+02:00

The approximate distance the ball travels after making a full rotation around the triangle of friends is: B. 57. 94 feet.

Luke ( 4,10)

Nick (-8, -2)

Serena (4, -14)

Hence:

Distance between two points=√(x2-x1)²+ (y2-y1)²

Distance between Luke and Nick=√ (-8, -4)²+ ( -2-10)²

Distance between Luke and Nick=√288

Distance between Luke and Nick=16.97 feet

Distance between Luke and Serena=10-(-14)

Distance between Luke and Serena=24

Distance between Nick and Serena=√ (-8, -4)²+ ( -2+14)²

Distance between Nick and Serena=√ 288

Distance between Nick and Serena=√16.97 feet

Total distance=16.97 feet+16.97 feet+ 24

Total distance=57.94 feet

Therefore the correct option is B.

Learn more about total distance here:https://brainly.com/question/7243416

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tinybrain75 tinybrain75 · Answer 2 · 2022-06-25T07:14:19+02:00

Answer:

57.94 feet

Step-by-step explanation:

I got it correct

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