Answer:
This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as
\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288
Answer:
<u>36 in²</u>
Step-by-step explanation:
<u>Area of the figure</u>
- Area (small rectangle) left + Area (big rectangle) right
- 3 x (6 - 4) + 5 x 6
- 3 x 2 + 30
- 6 + 30
- <u>36 in²</u>
Answer:
35 m/s
Step-by-step explanation:
Let gravitational acceleration g = 9.8m/s2. We can calculate the amount of time for the ball to fall vertically a distance of 1.6 m



This is also the time it takes for the ball to fly horizontally, assume constant horizontal speed, we can calculate the speed it takes to travel across 20m in 0.571s
v = 20 / 0.571 = 35 m/s