Question

The local community park is designing a pool using the Golden Ratio. If the pool is 110 feet wide, about how long should it be?

Answer 1

What is the golden ratio?

Answer 2

The golden ratio is also called the divine proportion. It equals 1.618 (approx).

Answer 3

Assuming the length is larger than the width
1.618=x/110

Answer 4

does it have any thing to do with fibonacci numbers?

Answer 5

^Yeah, that's how I would solve it too. :-)

Answer 6

a/b = 1/2(1+sqrt(5))

Answer 7

110 is not correct. :P

Answer 8

@drpeppergal , according to wikipedia, the ratio of sequential elements of the Fibonacci sequence approaches the golden ratio asymptotically.

Answer 9

It's 177.98 @computergeek123 :-)

Answer 10

1.618*110 = x

Answer 11

Typo: it should be \[\LARGE \Phi^n = Fib(n) \Phi + Fib(n-1) \]

Answer 12

Which side is which?

Answer 13

68 (approx)
110/68 = 1.618

Answer 14

so i woulld put 180?

Answer 15

OK, assuming one is less than other, I see now...

Answer 16

180 is too much rounding, I guess. 178 is better, but we are already rounding phi to 1.618 only :-)

Answer 17

I still say there are 2 answers, why should you divide length by width?

Answer 18

Sure, I agree @estudier. It's a pretty badly formulated question. @computergeek123 should pick between one of two. :-)

Answer 19

well theres 100, 120, 150 and 180 so i think 180 is best? @bmp

Answer 20

Yup, then it's

Answer 21

OK, assumed in the choices......grrr.

Answer 22

is this next one correct?


Which number comes next in this sequence?

2, 5, 11, 23, 47 …
Answer

68

82

95✔

101

Answer 23

Double +1

Answer 24

Yeah, @estudier is correct. :-)

Answer 25

The tick was a clue:-)

Answer 26

Meg grows broccoli in a square plot in her garden. She created a drawing of her broccoli plot on a coordinate grid. The locations of three corners of the plot are represented by coordinates (3, 0), (1, 6), and (7, 8).

Which of these coordinates represent the fourth corner?


(8, 2)
(8, 3)
(9, 2)✔✔
(9, 3)

Answer 27

Bibi is using a software program that allows her to change the shape of a two-dimensional figure by making changes to the sides. She starts with a quadrilateral with opposite sides parallel. She stretches the shorter edges of the quadrilateral to make all four sides congruent.

Which statement best describes the figure that she created?
Answer

She changed a kite to a square.

She changed a rectangle to a square.

She changed a trapezoid to a rhombus.✔

She changed a parallelogram to a rhombus.

Answer 28

The last one, it's just the definition of a trapezoid and a rhombus, so, it's correct :-)

Answer 29

So i have the correct answers??