A circle has a radius of 48 millimeters. What is the length of the arc intercepted by a central angle that measures 3π/4 radians?

Express the answer in terms of π .

Enter your answer in mm in the box.

Arc length, S...is given  by

S  =  r (theta  in radians)

So

S  = 28  (3π/4)      =  28 (3/4)*π =  [ 21 π ]   inches    

Step-by-step explanation:

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west