If dr. bob ride his bike to his office he averages 12 mph if he drives his car he averages 48 mph his time driving is 1/4 hour less than his time bicycling how far is his office

2.4 miles

Step-by-step explanation:

From the question;

We are going to assume the distance to the office is x miles

Therefore;

Time taken when using the bike;

Time = distance ÷ speed

         = x/12 hours

Time taken when using the car;

Time = x/48 hours

But, time taken when using the car is 1/4 hours less.

Therefore;

1/12 hours - x/48 hours = 1/4 hr

That is;

We want to solve for x.

Multiplying by LCM, 48

We get,

  5x = 12

    x = 12/5

      = 2.4 miles

Therefore, the office is 2.4 miles away.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

19.side- angle- side

20. angle- side- angle

step-by-step explanation: