393/1000. i think, sorry. :c
<u>Given</u>:
The given geometric series is
We need to determine the value of r and a₁
<u>Value of a₁:</u>
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
<u>Value of r:</u>
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
Thus, the value of r is 1.5
There are 64 handshake because eaxh hand is shaked 8btimes and there are 8 people, so 8×8=64
Answer:
1/2³
Step-by-step explanation:
wheb you turn it into a fraction then the denominator is positive 1 divides 2³ 3 becomes a positive power
Recall that
cos²(<em>x</em>) + sin²(<em>x</em>) = 1
for all <em>x</em>, so that
sin(<em>x</em>) = ± √(1 - cos²(<em>x</em>))
Given that cos(<em>θ</em>) = 4/9 > 0, and
tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>) < 0
it follows that sin(<em>θ</em>) < 0, so
sin(<em>θ</em>) = - √(1 - cos²(<em>θ</em>)) = - √(1 - (4/9)²) = - √(65)/9