Suppose a bike wheel has a diameter of 70 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike?

Based on the diameter of the wheel, we can calculate that the speed of the bike is 2.75 m/s

First find the circumference of the wheel:

= π x diameter

= π x 70 cm

= 220 cm

Convert this to meters:

= 220cm / 100 cm per meter

= 2.20 meters

The speed is:

= Distance /Time

= 2.20 / 0.8

= 2.75 m/s

In conclusion, the speed is 2.75 m/s

Find out more on speed at link.

Step-by-step explanation:

radius 70/2=35 cm

circumference=2πr=2π×35=70π cm

time taken to complete one revolution=0.8 s

or distance covered in 0.8 s=70π

distance covered in 1 s=70π/0.8=700 π/8=175 π/2 s=87.5 π≈274.9 cm

speed=274.9 cm/s=2.749 m/s

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.