The two solids below are similar, and the ratio between the lengths of their edges 4: 7 what is the ratio of their surface areas

16: 49

Step-by-step explanation:

If two shapes are similar , then the following condition holds

(i) the ratio of their sides are equal

(ii) If is the length of the first one and is the length of the second one then:

=

Where A stands for the area

(iii)   =

Following theses conditions , the ratio of the lengths of their edges is given to be 4 : 7 , then the ratio of their surface area implies:

=

= 16/49

Therefore the ratio of their surface area is 16: 49

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.

b

step-by-step explanation: