Answer:
i would say 18/24
Step-by-step explanation:
Answer:
let common difference be d.
a 18=a+17 d
a 14=a+13 d
a+17d - (a+13d) =32
a+17d - a - 13d =32
17d - 13d = 32
4d = 32
d=32/4
d=8
common difference=8
Step-by-step explanation:
(Brainliest if im correct?)
Answer:
3
x
^4
√
3
y
Step-by-step explanation:
Step-by-step explanation:
θ is in quadrant IV, so:
sin θ < 0
cos θ > 0
tan θ = sin θ / cos θ < 0
csc θ = 1 / sin θ < 0
sec θ = 1 / cos θ > 0
Without doing any calculations, we can see only the third option fits (in the second option, sin θ / cos θ = -9/18, not -18/9. In the fourth option, csc θ and sec θ are switched).
Let's go ahead and calculate the values. There are several ways to solve this. One way is to use Pythagorean identities (ex., 1 + cot²θ = csc²θ). Another way is to simply draw a triangle in the fourth quadrant.
cot θ = 1 / tan θ, and tan θ = opposite / adjacent. So cot θ = adjacent / opposite. If we draw a triangle with angle θ, where the adjacent side is 9 and the opposite side is -18, then we can use Pythagorean theorem to find the hypotenuse:
c² = a² + b²
c² = (9)² + (-18)²
c = √405
Therefore:
sin θ = -18 / √405
cos θ = 9 / √405
csc θ = √405 / 18
sec θ = √405 / 9
tan θ = -18/9
