ganeshie8
  • ganeshie8
...
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
ganeshie8
  • ganeshie8
look at the model
ganeshie8
  • ganeshie8
its height is just 2 feet, whereas the actual ramp was 12feet.

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ganeshie8
  • ganeshie8
so the model is 6 times smaller than the actual ramp
ganeshie8
  • ganeshie8
look at the grid now
ganeshie8
  • ganeshie8
can you tell me the length of JL ?
ganeshie8
  • ganeshie8
@mlb004 still there :)
anonymous
  • anonymous
yes sorry
ganeshie8
  • ganeshie8
np, take ur time :) see if u can find the length of JL
anonymous
  • anonymous
Ok I am looking at the grid nd trying to figure it out.
ganeshie8
  • ganeshie8
if you see, both J and L are at same height (60)
ganeshie8
  • ganeshie8
J is on left side at 10 L is on right side at 34
anonymous
  • anonymous
yes
ganeshie8
  • ganeshie8
so length of JL = distance between JL= 34-10 = 24
anonymous
  • anonymous
ok
ganeshie8
  • ganeshie8
so we now knw two lengths of actual ramp. JK = 12 feet JL = 24 feet
anonymous
  • anonymous
yes ok
ganeshie8
  • ganeshie8
we need to figure out where R goes
anonymous
  • anonymous
ok
ganeshie8
  • ganeshie8
look at the ramps, JL of actual ramp is represented by PR in model, right ?
anonymous
  • anonymous
yes it is
ganeshie8
  • ganeshie8
now this is the key :- since the model is 6 times smaller than actual ramp, PR will also be 6 times smaller than JL
ganeshie8
  • ganeshie8
so, PR = JL/6 = 24/6 = 4
anonymous
  • anonymous
Yes that makes sense
ganeshie8
  • ganeshie8
good :) so what does that mean ?
ganeshie8
  • ganeshie8
it means, we need to pick R such that it is 4 feet away from P
ganeshie8
  • ganeshie8
look at grid now
ganeshie8
  • ganeshie8
P is located at (30, 20)
anonymous
  • anonymous
yes
ganeshie8
  • ganeshie8
can we say R can be at (30+4, 20) = (34, 20)
ganeshie8
  • ganeshie8
?
anonymous
  • anonymous
yes
ganeshie8
  • ganeshie8
thats it ! point R has to be at (34, 20)
anonymous
  • anonymous
And we explain this usuing reasoning because of all of the above notes?
ganeshie8
  • ganeshie8
you can compress it :-
anonymous
  • anonymous
ok
ganeshie8
  • ganeshie8
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).
anonymous
  • anonymous
oh ok, thank you so much. :)
ganeshie8
  • ganeshie8
np :)
anonymous
  • anonymous
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? _________
ganeshie8
  • ganeshie8
use this :- sum of first n numbers = (n+2)th numeber - 1
ganeshie8
  • ganeshie8
since you want to knw suermnsm of first 12 terms, you need to look for (12+2) = 14th number
anonymous
  • anonymous
ok
ganeshie8
  • ganeshie8
google and tell me, whats the 14th number in fibonacci sequence
anonymous
  • anonymous
Ok, I am doing it now.
anonymous
  • anonymous
It is 377
ganeshie8
  • ganeshie8
correct! thats the 14th number. subtract 1 to get the sum of first 12 numbers
anonymous
  • anonymous
so 376 is the answer?
ganeshie8
  • ganeshie8
sum of first 12 numbers = (12+2)the number - 1 = 14th number - 1 = 377 - 1 = 376
ganeshie8
  • ganeshie8
yes thats the answer. you can confirm it by adding manually all 12 numbers !
ganeshie8
  • ganeshie8
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
anonymous
  • anonymous
So is the Fibonacci Sequence always the same?
ganeshie8
  • ganeshie8
Yes
anonymous
  • anonymous
Ok so if it asks what the 13th term in the Fibonacci Sequence is then it would be 233?
ganeshie8
  • ganeshie8
you're tossing, whether to call 233 ias 13th number or 14th number ?
anonymous
  • anonymous
It asked me : What is the 13th term in the Fibonacci Sequence?
anonymous
  • anonymous
That is a 2nd question, I got and understand the first question.
ganeshie8
  • ganeshie8
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
ganeshie8
  • ganeshie8
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? _________
ganeshie8
  • ganeshie8
Is this what they gave you to use ?
anonymous
  • anonymous
My chart starts with 1 so I was saying the correct answer would be 233, correct?
ganeshie8
  • ganeshie8
here it starts from 1,1..
ganeshie8
  • ganeshie8
yes, if you start from 1,1, then, 13th number is 233
anonymous
  • anonymous
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.
ganeshie8
  • ganeshie8
but actual fibonacci sequence starts from 0,1... but you should use what ur chart shows :)
ganeshie8
  • ganeshie8
yea sure
anonymous
  • anonymous
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.
ganeshie8
  • ganeshie8
14th number : ? 13th number : ?
ganeshie8
  • ganeshie8
377 233
anonymous
  • anonymous
So you just subtract correct
ganeshie8
  • ganeshie8
ratio between 14th and 13th terms = \(\large \frac{377}{233}\)
ganeshie8
  • ganeshie8
ratio means division !
anonymous
  • anonymous
1.6180258
ganeshie8
  • ganeshie8
dont forget to round it to 5 decimal places
anonymous
  • anonymous
Since it says round to 5 decimal places it would be 1.61803 is that correct?
ganeshie8
  • ganeshie8
correct
anonymous
  • anonymous
Oh I did it. Thank you so much for explaining that, that actually helped me with 3 problems.
ganeshie8
  • ganeshie8
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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