The third choice is appropriate.
an = 5 - 3(n - 1); all integers n ≥ 1
_____
This equation follows the form for the general term of an arithmetic sequence.
an = a1 + d(n - 1)
where a1 is the first term (corresponding to n=1), and d is the common difference. From the problem statement, a1 = 5 and d = 2 - 5 = -3.
Answer: 28.8°
<u>Step-by-step explanation:</u>
∠A = 5(∠B) + 7.2°
∠B = ∠B
Since they are on a straight line, they form a linear pair (sum = 180°)
∠A + ∠B = 180°
Use Substitution:
5(∠B) + 7.2° + ∠B = 180°
Add like terms:
6(∠B) + 7.2° = 180°
Subtract 7.2° from both sides:
6(∠B) = 172.8°
Divide both sides by 6:
∠B = 28.8°
Answer:
16.703
Step-by-step explanation:
right angle triangle thus we use puthagoras theorem to find the unknown length.
By converse of pythagoras theorem,
c² = a² + b²
c = √a² + b²
where c is the hypothenuse, a and b can be any 2 side of the right angle triangle
so x = √c² - a² = √ 20² - 11² ≈ 16.703 (or u can use calculator to find the long string of decimals and then round off on your own)
Should be:
=1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1823, 3646, 5469, 7292, 10938, 14584, 21876, 29168, 43752, 87504