<h3>
Answer: 375</h3>
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Work Shown:
a = 300 = first term
r = 60/300 = 0.2 = common ratio
We multiply each term by 0.2, aka 1/5, to get the next term.
Since -1 < r < 1 is true, we can use the infinite geometric sum formula below
S = a/(1-r)
S = 300/(1-0.2)
S = 300/0.8
S = 375
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As a sort of "check", we can add up partial sums like so
- 300+60 = 360
- 300+60+12 = 360+12 = 372
- 300+60+12+2.4 = 372+2.4 = 374.4
- 300+60+12+2.4+0.48 = 374.4+0.48 = 374.88
and so on. The idea is that each time we add on a new term, we should be getting closer and closer to 375. I put "check" in quotation marks because it's probably not the rigorous of checks possible. But it may give a good idea of what's going on.
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Side note: If the common ratio r was either r < -1 or r > 1, then the terms we add on would get larger and larger. This would mean we don't approach a single finite value with the infinite sum.
Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)
Explanation:
Datum: Area, <span>A=18<span>13</span>f<span>t2</span></span> and height, <span>h=31ft</span>
Required: Base of the parallelogram?
*Solution: Area, <span>A=b×h</span>
<span>18<span>13</span>f<span>t2</span>=b×31ft</span> solve for base, b
<span>b=<span>553</span>×<span>131</span>=<span>5593</span>=.591f<span>t</span></span>
Answer:
you take all the point from around then multiply and do the same with the base
Step-by-step explanation:
- take 2 times 2.8
- 12 times 4
- 4 times 4
- add them all
x=3
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