Alex returns a bike to a friends house from his own house in 1/2 hour. He walks back over the same route in 1.5 hours. If the average speed on the bike is 8 mph faster than his walking speed, how far does alex live from his friend

Step-by-step explanation:

Let x represent his average walking speed.

If the average speed on the bike is 8 mph faster than his walking speed,it means that his biking speed is (x + 8) mph

Distance = speed × time

Alex returns a bike to a friends house from his own house in 1/2 hour. This means that the distance covered is

0.5(x + 8)

He walks back over the same route in 1.5 hours. This means that the distance covered is

1.5x

Since the distance covered is the same, then

1.5x = 0.5(x + 8)

1.5x = 0.5x + 4

1.5x - 0.5x = 4

x = 4 mph

Therefore, the distanceof Alex's house from his friend's house is

4 × 1.5 = 6 miles

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.