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look at the model
its height is just 2 feet, whereas the actual ramp was 12feet.

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Other answers:

so the model is 6 times smaller than the actual ramp
look at the grid now
can you tell me the length of JL ?
@mlb004 still there :)
yes sorry
np, take ur time :) see if u can find the length of JL
Ok I am looking at the grid nd trying to figure it out.
if you see, both J and L are at same height (60)
J is on left side at 10 L is on right side at 34
yes
so length of JL = distance between JL= 34-10 = 24
ok
so we now knw two lengths of actual ramp. JK = 12 feet JL = 24 feet
yes ok
we need to figure out where R goes
ok
look at the ramps, JL of actual ramp is represented by PR in model, right ?
yes it is
now this is the key :- since the model is 6 times smaller than actual ramp, PR will also be 6 times smaller than JL
so, PR = JL/6 = 24/6 = 4
Yes that makes sense
good :) so what does that mean ?
it means, we need to pick R such that it is 4 feet away from P
look at grid now
P is located at (30, 20)
yes
can we say R can be at (30+4, 20) = (34, 20)
?
yes
thats it ! point R has to be at (34, 20)
And we explain this usuing reasoning because of all of the above notes?
you can compress it :-
ok
Since QP(2feet) in model is smaller than JK(12feet) in actual ramp by 12 times, all dimensions in model have to be smaller than actual ramp by 6 times. From the grid, length of JL = 24. JL is represented in model as PR. Since PR has to be 6 times smaller than JL. so PR = 24/6 = 4 feet. Since P is fixed in grid at (30, 20), R point which is 4feet from P can be at (30+4, 20) = (34, 20).
oh ok, thank you so much. :)
np :)
What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________
use this :- sum of first n numbers = (n+2)th numeber - 1
since you want to knw suermnsm of first 12 terms, you need to look for (12+2) = 14th number
ok
google and tell me, whats the 14th number in fibonacci sequence
Ok, I am doing it now.
It is 377
correct! thats the 14th number. subtract 1 to get the sum of first 12 numbers
so 376 is the answer?
sum of first 12 numbers = (12+2)the number - 1 = 14th number - 1 = 377 - 1 = 376
yes thats the answer. you can confirm it by adding manually all 12 numbers !
https://www.google.co.in/search?q=0%2B1%2B1%2B2%2B3%2B5%2B8%2B13%2B21%2B34%2B55%2B89&oq=0%2B1%2B1%2B2%2B3%2B5%2B8%2B13%2B21%2B34%2B55%2B89&aqs=chrome.0.57j0j62l3.689j0&sourceid=chrome&ie=UTF-8#safe=off&sclient=psy-ab&q=1%2B1%2B2%2B3%2B5%2B8%2B13%2B21%2B34%2B55%2B89%2B144&oq=1%2B1%2B2%2B3%2B5%2B8%2B13%2B21%2B34%2B55%2B89%2B144&gs_l=serp.3...21238.21238.1.21788.1.1.0.0.0.0.283.283.2-1.1.0...0.0.0..1c.1.12.psy-ab.xUkaZLvgdqM&pbx=1&bav=on.2,or.r_cp.r_qf.&bvm=bv.47008514,d.bmk&fp=9057bb8e0029f5e4&biw=1661&bih=904
So is the Fibonacci Sequence always the same?
Yes
Ok so if it asks what the 13th term in the Fibonacci Sequence is then it would be 233?
you're tossing, whether to call 233 ias 13th number or 14th number ?
It asked me : What is the 13th term in the Fibonacci Sequence?
That is a 2nd question, I got and understand the first question.
cuz if u start from 0,1 then 14th number wud be 233 if u start from 1,1 then 13th number wud be 233
You have posted this :- What is the sum of the first 12 terms in the Fibonacci Sequence? Term - 1,2,3,4,5,6,7,8,9 Febonacci Number - 1,1,2,3,5,8,13,21,34 Numberical number? _________
Is this what they gave you to use ?
My chart starts with 1 so I was saying the correct answer would be 233, correct?
here it starts from 1,1..
yes, if you start from 1,1, then, 13th number is 233
Yes starts 1, 1, 2, 3, 5, 8, 13, 21, 34 and so on. Ok that is what I thought. And one more question please.
but actual fibonacci sequence starts from 0,1... but you should use what ur chart shows :)
yea sure
Using the same chart starting at 1,1 What is the ratio between 14th and 13th terms in the Fibonacci sequence? Round your answer to five decimal places.
14th number : ? 13th number : ?
377 233
So you just subtract correct
ratio between 14th and 13th terms = \(\large \frac{377}{233}\)
ratio means division !
1.6180258
dont forget to round it to 5 decimal places
Since it says round to 5 decimal places it would be 1.61803 is that correct?
correct
Oh I did it. Thank you so much for explaining that, that actually helped me with 3 problems.
np :) btw this 1.61803 is called Golden ratio. it was used in Greek architectures like parthenon building and all... u may google "Golden ratio" if u have interest u wil get to know cool things

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