A 20ft ladder reaches a window 18 ft. above the ground. How far is the base of the ladder from the house? Round to the nearest tenth.

8.7

Step-by-step explanation:

20^2-18^2=76

square root of 76 is 8.7 to the nearest tenth

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.

a negative exponent is translated as follows:

so, we have