A painter painted about a sixth of a room in a sixth of a day. Coley estimated the painter would paint 5 rooms in 5 days. Is Coley's estimate reasonable? Complete the explanation.

Answer/Step-by-step explanation:

If she paints half a room in half a day then

she paints 1 room in 1 day.  At a rate of

1 room per day it should take 7 days to

paint 7 rooms.  Thus Chloe's estimate is reasonable.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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