A ladder is 8 metres long . It leans against a wall with one end on the ground 6 metre from the wall. The other end just reaches a windowsill.

Calculate the height of the windowsill above the ground.

b=2√7 ≈ 5.29 meters

Step-by-step explanation:

think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse

a²+b²=c²

6²+b² =8²

b²= 8²-6²=28

b=√28 =2√7 ≈ 5.29 meters

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.

2nd one in the first row is correct