On planet FACE, there are 10 days in a week. There are 36 hours in a day and each hour has 90 minutes while each minute has 60 seconds. As on Earth, the hour hand covers the dial twice every day. Find the approximate angle between the hands of the clock on FACE when the time is 14:40 a.mradio_button_unchecked83radio_button_unchecked74radio_button_unchecked129radio_button_unchecked85

The question seems to be a bit jumbled, but I'll try to answer it based on the information given.

First, let's understand the clock on planet FACE. It has 36 hours in a day, and the hour hand covers the dial twice every day. This means the hour hand moves 720 degrees in a day (360 degrees * 2).

So, the rate at which the hour hand moves is 720 degrees / 36 hours = 20 degrees per hour.

At 14:40, the hour hand has moved 14 hours * 20 degrees/hour = 280 degrees.

Next, let's consider the minute hand. It moves 360 degrees in 90 minutes (since there are 90 minutes in an hour on planet FACE).

So, the rate at which the minute hand moves is 360 degrees / 90 minutes = 4 degrees per minute.

At 40 minutes, the minute hand has moved 40 minutes * 4 degrees/minute = 160 degrees.

The angle between the hands of the clock is the absolute difference between the degrees moved by the hour hand and the minute hand.

So, the angle is |280 degrees - 160 degrees| = 120 degrees.