A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 \text{ cm}30 cm30, start text, space, c, m, end text, and the bicycle wheel makes 333 full rotations before stopping. How long is the trace of water left on the floor? Round your answer to the nearest \text{cm}cmstart text, c, m, end text.

565 cm

Step-by-step explanation:

Given that:

Radius of tire (r) = 30 cm

Number of complete rotations made = 3

To start with :

Obtain the Circumference : 2πr

Hence,

Circumference = 2 * π * r

= 2 * π * 30 = 6

= 188.49555 cm²

Length of trace of water left :

188.49555 * 3

565.48667

= 565cm (nearest cm)

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.