Question

...

Answer 1

look at the model

Answer 2

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

Answer 3

so the model is 6 times smaller than the actual ramp

Answer 4

look at the grid now

Answer 5

can you tell me the length of JL ?

Answer 6

@mlb004 still there :)

Answer 7

yes sorry

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

yes

Answer 13

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

Answer 14

ok

Answer 15

so we now knw two lengths of actual ramp.

JK = 12 feet
JL = 24 feet

Answer 16

yes ok

Answer 17

we need to figure out where R goes

Answer 18

ok

Answer 19

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

Answer 20

yes it is

Answer 21

now this is the key :- since the model is 6 times smaller than actual ramp, PR will also be 6 times smaller than JL

Answer 22

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

Answer 23

Yes that makes sense

Answer 24

good :) so what does that mean ?

Answer 25

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

Answer 26

look at grid now

Answer 27

P is located at (30, 20)

Answer 28

yes

Answer 29

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

Answer 30

?

Answer 31

yes

Answer 32

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

Answer 33

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

Answer 34

you can compress it :-

Answer 35

ok

Answer 36

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).

Answer 37

oh ok, thank you so much. :)

Answer 38

np :)

Answer 39

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? _________

Answer 40

use this :-

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

Answer 41

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

Answer 42

ok

Answer 43

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

Answer 44

Ok, I am doing it now.

Answer 45

It is 377

Answer 46

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

Answer 47

so 376 is the answer?

Answer 48

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

Answer 49

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

Answer 50

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

Answer 51

So is the Fibonacci Sequence always the same?

Answer 52

Yes

Answer 53

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

Answer 54

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

Answer 55

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

Answer 56

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

Answer 57

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

Answer 58

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? _________

Answer 59

Is this what they gave you to use ?

Answer 60

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

Answer 61

here it starts from 1,1..

Answer 62

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

Answer 63

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.

Answer 64

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

Answer 65

yea sure

Answer 66

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.

Answer 67

14th number : ?
13th number : ?

Answer 68

377
233

Answer 69

So you just subtract correct

Answer 70

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

Answer 71

ratio means division !

Answer 72

1.6180258

Answer 73

dont forget to round it to 5 decimal places

Answer 74

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

Answer 75

correct

Answer 76

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

Answer 77

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