<u>Answer:</u>
37th term of given arithmetic sequence
= 2.3; d = -2.3 is -80.5.
<u>Solution:</u>
Given that
Need to determine 37th term, when
= 2.3, d = -2.3
Means first term of arithmetic sequence =
= 2.3 and common difference d = -2.3
<u><em>Formula for nth term of arithmetic sequence is </em></u>
--- equation 1

We need to determine 37th term so n = 37.
On substituting given values in equation (1) we get


Hence 37th term of given arithmetic sequence is -80.5
You would want to divide 216 by 18 and by doing that you would get 12.
Answer:
Third option is the correct answer
Step-by-step explanation:

Answer:
A) y =
, x = 11
Step-by-step explanation:
We can use the 60 degree angle to help us solve this.
Remember: tan(angle) = opposite/adjacent
Using this formula, we get that
tan (60 degrees) = y / (11/2)
This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.
Simplifying this expression, we get that
= y/(11/2)
Multiplying both sides by 11/2, we get
= y
We can now use the pythagorean theorem to help us solve for x
Remember: a² + b² = c²
Since x is the hypotenuse, it is the c value. Therefore, we get:
(11/2)² + (
)² = x²
Simplifying this, we get
+
= x²
Simplifying this some more, we get
484/4 = x²
121 = x²
Taking the square root of both sides, we get that
x = 11
I hope this helps!