Answer:
A: 3/4
Step-by-step explanation:
sine is the length of the opposite side / length the hypotenuse side
cosine is the length of the adjacent side / length the hypotenuse side
using what's given:
- the opposite side has a length of 3
- the adjacent side has a length of 4
- the hypotenuse side has a length of 5
Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula : 
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
The answer is 0.0017. Do you not have a calculator?