A bicycle tire has a spot of wet paint on it. The radius of the tire is 46cm. Every time the wheel turns, the paint marks the ground. How far will the bike have travelled between two consecutive paint marks on the ground?

Assume the paint continues to mark the ground. How many times will the paint mark the ground when the bike travels 1 km?

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

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation:

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !