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ohaa [14]
1 year ago
14

The dimensions of a basketball court are shown below. Suppose a player throws the ball from a corner to a teammate standing at t

he center of the court. a. If center court is located at the origin, find the ordered pair that represents the location of the player in the bottom right corner b. find the distance that the ball travels
Mathematics
1 answer:
creativ13 [48]1 year ago
4 0

The 94 ft. by 50 ft dimensions of the court obtained from a similar question posted online, gives;

a. The ordered pair representing the location of the player in the bottom right corner is (47, -25)

b. The distance traveled by the ball obtained using Pythagorean theorem, is approximately 53.2 feet.

<h3>How can Pythagorean theorem be used to find the distance the ball travels?</h3>

The possible dimensions of a rectangular court obtained from a similar question posted online are;

Length of the basketball court = 94ft.

Width of the basketball court = 50 ft.

From the question, we have;

Location of the court center = The origin of a coordinate plane

a. The ordered pair that represent the location of a player in the bottom right corner is found as follows;

Let (x, y) represent the coordinates of the bottom right corner of the court, we have;

Horizontal distance from the center of the court (the origin) to the right boundary of the court, <em>x </em>= (94 ft.)/2 = 47 ft.

Vertical distance from the center to bottom of the court, <em>y </em>= (50 ft.)/2 = 25 ft.

Following the convention of points to the right and above the origin being positive, while points below the origin are negative, we have;

The ordered pair (the coordinates of the player) that represents the location of the player in the bottom right corner is therefore;

  • (x, y) = (47, -25)

b. The distance, <em>d</em>, that the ball travels is given by Pythagorean theorem as follows;

d = √((47 - 0)² + ((-25) - 0)²) = √(2834) ≈ 53.2

  • The ball travels approximately 53.2 feet.

Learn more about Pythagorean theorem here:

brainly.com/question/21332040

#SPJ1

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iii) 24 ounces of cheese for 12 people

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We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

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