The minute hand of a clock moves from 12 : 10 to 12 : 15 . a. How many degrees does it move during this time? b. How many radians does it move during this time? c. If the minute hand is 9 in . in length, determine the exact distance that the tip of the minute hand travels during this time. d. Determine the exact angular speed of the minute hand in radians per minute. e. What is the exact linear speed (in inches per minute) of the tip of the minute hand? f. What is the amount of area that the minute hand sweeps out during this time? Give the exact area in terms of π and then approximate to the nearest square inch.
The minute hand of a clock moves from 12 : 10 to 12 : 15 . a. How many degrees does it move during this time? b. How many radians does it move during this time? c. If the minute hand is 9 in . in length, determine the exact distance that the tip of the minute hand travels during this time. d. Determine the exact angular speed of the minute hand in radians per minute. e. What is the exact linear speed (in inches per minute) of the tip of the minute hand? f. What is the amount of area that the minute hand sweeps out during this time? Give the exact area in terms of π and then approximate to the nearest square inch.
Solution Summary: The author calculates the number of degrees in the minute hand of a clock during the time from 12:10 to 12,15.
The minute hand of a clock moves from
12
:
10
to
12
:
15
.
a. How many degrees does it move during this time?
b. How many radians does it move during this time?
c. If the minute hand is
9
in
.
in length, determine the exact distance that the tip of the minute hand travels during this time.
d. Determine the exact angular speed of the minute hand in radians per minute.
e. What is the exact linear speed (in inches per minute) of the tip of the minute hand?
f. What is the amount of area that the minute hand sweeps out during this time? Give the exact area in terms of
π
and then approximate to the nearest square inch.
For each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0.
Explain your reasoning
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
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Elementary Statistics: Picturing the World (7th Edition)
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