Carpet is to be laid in a room that is in the form of
acircular sector with a central angle of 105o. if
thelength (radius) of the room is 80 feet, what is the area of
thecarpet to be laid?

5,864.31 ft²

Step-by-step explanation:

The area of a full circle is given by:

Since the room is a circular sector with a central angle of 105 degrees and knowing that a circle has a central angle of 360 degrees, the area of the room is:

The area of  the carpet to be laid is 5,864.31 ft².

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.

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy