Solve the triangle below. type all answers as integers (no labels). Round to the nearest hundredth where applicable.

Answer/Step-by-step explanation:

The triangle is a right triangle.

✔️m<A = 180° - (53° + 90°)

m<A = 37°

✔️Find AC using trigonometric ratio:

Reference angle = 53°

Opposite = AC

Hypotenuse = 5 m

Thus:

Sin (53) = opp/hyp

Sin (53) = AC/5

5*Sin(53) = AC

AC = 3.99 (nearest hundredth)

✔️Find BC using trigonometric ratio:

Reference angle = 53°

Hypotenuse = 5

BC = Adj

Cos (53) = adj/hyp

Cos (53) = BC/5

5*Cos(53) = BC

BC = 3.01 (nearesth hundredth)

m∠a=37

AC= 3.99

BC= 3.01

I just took the test and it was right:)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.