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- ganeshie8

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- anonymous

##### 1 Attachment

- ganeshie8

look at the model

- ganeshie8

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

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## More answers

- ganeshie8

so the model is 6 times smaller than the actual ramp

- ganeshie8

look at the grid now

- ganeshie8

can you tell me the length of JL ?

- ganeshie8

@mlb004 still there :)

- anonymous

yes sorry

- ganeshie8

np, take ur time :) see if u can find the length of JL

- anonymous

Ok I am looking at the grid nd trying to figure it out.

- ganeshie8

if you see, both J and L are at same height (60)

- ganeshie8

J is on left side at 10 L is on right side at 34

- anonymous

yes

- ganeshie8

so length of JL = distance between JL= 34-10 = 24

- anonymous

ok

- ganeshie8

so we now knw two lengths of actual ramp. JK = 12 feet JL = 24 feet

- anonymous

yes ok

- ganeshie8

we need to figure out where R goes

- anonymous

ok

- ganeshie8

look at the ramps, JL of actual ramp is represented by PR in model, right ?

- anonymous

yes it is

- 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

so, PR = JL/6 = 24/6 = 4

- anonymous

Yes that makes sense

- ganeshie8

good :) so what does that mean ?

- ganeshie8

it means, we need to pick R such that it is 4 feet away from P

- ganeshie8

look at grid now

- ganeshie8

P is located at (30, 20)

- anonymous

yes

- ganeshie8

can we say R can be at (30+4, 20) = (34, 20)

- ganeshie8

?

- anonymous

yes

- ganeshie8

thats it ! point R has to be at (34, 20)

- anonymous

And we explain this usuing reasoning because of all of the above notes?

- ganeshie8

you can compress it :-

- anonymous

ok

- 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

oh ok, thank you so much. :)

- ganeshie8

np :)

- 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

use this :- sum of first n numbers = (n+2)th numeber - 1

- ganeshie8

since you want to knw suermnsm of first 12 terms, you need to look for (12+2) = 14th number

- anonymous

ok

- ganeshie8

google and tell me, whats the 14th number in fibonacci sequence

- anonymous

Ok, I am doing it now.

- anonymous

It is 377

- ganeshie8

correct! thats the 14th number. subtract 1 to get the sum of first 12 numbers

- anonymous

so 376 is the answer?

- ganeshie8

sum of first 12 numbers = (12+2)the number - 1 = 14th number - 1 = 377 - 1 = 376

- ganeshie8

yes thats the answer. you can confirm it by adding manually all 12 numbers !

- 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

So is the Fibonacci Sequence always the same?

- ganeshie8

Yes

- anonymous

Ok so if it asks what the 13th term in the Fibonacci Sequence is then it would be 233?

- ganeshie8

you're tossing, whether to call 233 ias 13th number or 14th number ?

- anonymous

It asked me : What is the 13th term in the Fibonacci Sequence?

- anonymous

That is a 2nd question, I got and understand the first question.

- 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

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

Is this what they gave you to use ?

- anonymous

My chart starts with 1 so I was saying the correct answer would be 233, correct?

- ganeshie8

here it starts from 1,1..

- ganeshie8

yes, if you start from 1,1, then, 13th number is 233

- 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

but actual fibonacci sequence starts from 0,1... but you should use what ur chart shows :)

- ganeshie8

yea sure

- 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

14th number : ? 13th number : ?

- ganeshie8

377 233

- anonymous

So you just subtract correct

- ganeshie8

ratio between 14th and 13th terms = \(\large \frac{377}{233}\)

- ganeshie8

ratio means division !

- anonymous

1.6180258

- ganeshie8

dont forget to round it to 5 decimal places

- anonymous

Since it says round to 5 decimal places it would be 1.61803 is that correct?

- ganeshie8

correct

- anonymous

Oh I did it. Thank you so much for explaining that, that actually helped me with 3 problems.

- 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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