The length of the minute hand of a clock is

14 inches. What is the length of the path traced

by the outer tip of the minute hand in one

hour? Use 22

7 for p.

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

Where

C represents the circumference

r represents the radius or the length of the minute hand

--- This is given from the question;

By substitution, we have

Hence, the length of the path traced is 88 inches

h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes

means that at time t min, the height h of the balloon is 210-15t     (units)

for example,

at time t=1 min, the height of the balloon is 210-15*1=195 (units)

at time t=2 min, the height of the balloon is 210-15*2=210-30=180   (units)

thus, h(10) is the height of the balloon at time t=10 min,

h(10)=210-15*10=210-150=60

step-by-step explanation: