what measure is formed by the hands of a clock at 5:00

5(360 / 12) = 150 degrees

360/12 = 30 degrees per hour

5 * 130 = 150 degrees from noon to 5 pm

In x, y coordinates that is 150 - 90 - 60 degrees down from the x axis
Which is (360 - 60) or 300 degrees counterclockwise from the x axis

To determine the measure formed by the hands of a clock at 5:00, we must first understand the concept of clock angles. A clock has two hands – the hour hand and the minute hand. The hour hand moves twelve times slower than the minute hand.

At 12:00, both the hour and minute hand align vertically, forming a measure of 0 degrees. As time progresses, the minute hand moves 360 degrees around the clock face in 60 minutes, completing a full revolution.

Since there are 12 hours on a clock, the hour hand completes a full revolution in 12 hours, which is 720 minutes. This means that the hour hand moves 360 degrees in 720 minutes, or 0.5 degrees per minute.

Now, let's calculate the measure formed by the clock hands at 5:00.

At 5:00, the minute hand points directly at the 12 on the clock face. This means the minute hand is on the 12 and has not moved any further yet. Since the minute hand is located at zero, it forms an angle of 0 degrees.

The hour hand, on the other hand, has moved to the 5. To calculate the angle formed by the hour hand, we need to determine how far it has moved from 12.

Since there are 12 hours on the clock face, and the hour hand moves 0.5 degrees per minute, at 5:00 the hour hand has moved for 5 hours, which is equivalent to 300 minutes. So, the angle formed by the hour hand is 0.5 degrees * 300 minutes = 150 degrees.

Therefore, at 5:00, the measure formed by the hands of the clock is the difference between the angles formed by the two hands: 150 degrees - 0 degrees = 150 degrees.