Please answer this correctly

6.3 ft

Step-by-step explanation:

The perimeter of a parallelogram is given by

P = 2(l+w)

49.6 = 2 (18.5 +t)

Divide by 2

49.6/2 = 2/2 (18.5 +t)

24.8 = 18.5+t

Subtract 18.5

24.8-18.5 = t

6.3 = t

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week