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Answer:
Option A. 4 radians
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to

we have

substitute


step 2
Find the measure of angle 
we know that
The circumference of the circle subtends a central angle of 2π radians
so
using proportion
Find out the central angle by an arc length of 20 cm

Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that
and
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:


The linear speed in which Darlene is traveling is 24.74 miles per hour.
Answer:
-sin x
Step-by-step explanation:
sin(3π/3+x)=sin (π+x)=-sin x
or
sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x