Suppose that a new system of angle measurement has just beenannounced called per

Question

Suppose that a new system of angle measurement has just beenannounced called percentees. In this system one revolution isbrokwen up tino 100 parts, (so 100 percentees make up onerevolution). Firstly, convert 976 degrees to percentees Then, convert -86.7 to radians Finally, find an angle between 800 and 900 percented that isco-terminal with -327 percentees Suppose that a new system of angle measurement has just beenannounced called percentees. In this system one revolution isbrokwen up tino 100 parts, (so 100 percentees make up onerevolution). Firstly, convert 976 degrees to percentees Then, convert -86.7 to radians Finally, find an angle between 800 and 900 percented that isco-terminal with -327 percentees

Explanation / Answer

When measuring in degrees, 1 revolution = 360 degrees. When measuring in percentees, 1 revolution = 100 percentees. When measuring in radians, 1 revolution = 2pi radians 976 degrees * (1 revolution / 360 degrees) * (100 percentees/ 1 revolution) = 271.11 percentees -86.7 percentees * (1 revolution / 100 percenties) * (2pi radians /1 revolution) = -5.45 radians Finally, an angle of 873 percentees is co-terminal with an angle of-327 percentees. One way to visualize this is to recognizethat finding an angle between 800 and 900 percentees that isco-terminal with an angle of -327 percentees is like finding anangle between 0 and 100 percentees that is co-terminal with anangle of -27 percentees.

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