A unicycle wheel has a diameter of 20 inches. How many inches will the unicycle travel in 8 revolutions? Use π = 3.14 and round your answer to the nearest hundredth of an inch.

502.40 inches

Step-by-step explanation:

First we need to find the circumference of the wheel, which is given by pi times the diameter:

C = (3.14)(20) = 62.8 inches

That's how far the unicycle will travel in 1 revolution, so from there just multiply by 8

D = (62.8)(8) = 502.40 inches

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm