Question

The minute hand on a clock rotates in a clockwise direction. If the clock was laid on a coordinate plane with the minute hand currently having an endpoint of (4, -6), what will the coordinates of the endpoints be in 15 minutes?

a) (4, -9)
b) (4, -3)
c) (7, -6)
d) (1, -6)

Answer 1

The coordinates of the endpoints of the minute hand on a clock in 15 minutes can be found by understanding the movement of the minute hand and using the current endpoint coordinates. The new endpoint coordinates will be (4, -3).

Step-by-step explanation:

The minute hand on a clock rotates in a clockwise direction. If the clock was laid on a coordinate plane with the minute hand currently having an endpoint of (4, -6), the coordinates of the endpoints in 15 minutes can be found by understanding the movement of the minute hand.

The minute hand completes a full revolution every 60 minutes. This means that in 15 minutes, it will move 1/4 of the way around the clock.

Since the minute hand is currently at (4, -6), it will move clockwise by 1/4 of the clock's circumference which is equal to 1/4 of 2πr, where r is the radius of the clock.

Therefore, the new endpoint coordinates will be (4, -3), which is option b.