Use the image below to answer the following question. what relationship do the ratios of sin x and cos y share?
a. the ratios are opposites (-5/13 and 5/13)
b. the ratios are both indentical (5/13 and 5/13)
c. the ratios are reciprocals (5/13 and 13/5)
d. the ratios are both negative (-13/5 and -13/5)

Option B.

Step-by-step explanation:

we know that

In a right triangle

because

-----> complementary angles

Verify

The sine of angle x is equal to divide the opposite side angle x by the hypotenuse

The cosine of angle y is equal to divide the adjacent side to angle y by the hypotenuse

therefore

The ratios are both identical (5/13 and 5/13)

f(x)=4

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