In ΔQRS, the measure of ∠S=90°, SR = 56, RQ = 65, and QS = 33. What is the value of the tangent of ∠R

≈0.669

Step-by-step explanation:

a=√(c^2-b^2)

a=√(65^2-56^2)

a=33, a is the final side

tan = O/A

tan = 33/56

tan ≈ 0.669

step-by-step explanation:

(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