Shown in the figure is part of a design for a water slide. Find the total length of the slide to the nearest foot, if α = 25°, β
= 35°, a = 25 ft, and b = 200 ft. (Round your answer to one decimal place.)
1 answer:
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Answer:
3rd option
Step-by-step explanation:
So we are given the following points:
(1,5)
(2,15)
(3,45)
(4,135)
This is a geometric sequence because there is a common ratio, 3. That is you can keep multiply 3 to a previous y-coordinate to get the next y-coordinate.
The formula for a geometric sequence is
where is the first term and r is the common ration.
So we have
.
If you want to know the fifth term, just plug in 5:
Simplifying: