The hour hand of a clock moves clockwise from 3 to 5. What is the measure of the angle that the hour hand cuts

Angle covered by the hour  hand = 60°

Step-by-step explanation:

Numbers mentioned on an analogue clock = 12

Number of sectors between two numbers = 1

Angle between two numbers or 1 sector =

                                                                    =

                                                                    =

If the hour hand moves clockwise from 3 to 5, sectors covered = 2

Therefore, angle between two sectors = 2 × 30°

                                                                = 60°

Angle covered by the hour  hand = 60°

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.