MEDAL!!!

Question

MEDAL!!!

calculusxy · Answer

attachment

calculusxy · Answer

@phi

phi · Answer

this looks tedious

calculusxy · Answer

Yeah that's why I need help. I am falling asleep, but I need to finish my homework :(

jim_thompson5910 · Answer

Let me think

jim_thompson5910 · Answer

do you agree with what I have so far? (see attached image)

calculusxy · Answer

yes

calculusxy · Answer

so how can we figure out the number of hexagons from there?

jim_thompson5910 · Answer

ok do you see how I'm getting 50 sticks for this next pattern?

jim_thompson5910 · Answer

oops I made a typo on the first image attachment. I meant to say 15+15-2 = 28

calculusxy · Answer

kinda. so if we had then three sets of the hexagon we would have:
28 x 3 = 84

since two sets has 6 sticks being subtracted, then in three sets would it be 12 sticks out?

jim_thompson5910 · Answer

I'm able to get to 94 sticks, but not 95

calculusxy · Answer

teacher said that it won't be exactly 95. she also said that there will like 15 hexagons total and one stick left over i think?

jim_thompson5910 · Answer

I get the same thing if I try this configuration

calculusxy · Answer

but how did u get 15 regular hexagons? i see like 20 hexagons?

jim_thompson5910 · Answer

I count 3+3 = 6 hexagons given to you in the problem

there are four groups of this pattern repeated (in two different configurations). So 4*6 = 24 hexagons total

calculusxy · Answer

wait, what? i am lost!

jim_thompson5910 · Answer

where at?

calculusxy · Answer

what u just said right now.

jim_thompson5910 · Answer

Do you see how I got 94 sticks?

jim_thompson5910 · Answer

look back at the attachments hexagon4.png and hexagon5.png

calculusxy · Answer

yes

jim_thompson5910 · Answer

each block has 6 hexagons, agreed?

calculusxy · Answer

yes

jim_thompson5910 · Answer

and do you see how I have 4 of these blocks?

calculusxy · Answer

yes because 28 x 4

jim_thompson5910 · Answer

yeah and you subtract off the portions where the hexagons are joined (to correct for double counting)

jim_thompson5910 · Answer

6 hexagons per block * 4 blocks = 24 hexagons total

calculusxy · Answer

okay

calculusxy · Answer

then...?

jim_thompson5910 · Answer

I'm not sure how you see 20 hexagons

calculusxy · Answer

i thought there were five hexagons. i found my mistake... but my teacher said fifteen... we are getting 24 here.

jim_thompson5910 · Answer

that is strange why s/he said 15 when there are more hexagons possible

jim_thompson5910 · Answer

maybe there's some other configuration that I'm not thinking of

calculusxy · Answer

it's okay i will just keep 24. i will ask her tomorrow thank you :)

jim_thompson5910 · Answer

no problem

calculusxy · Answer

@jim_thompson5910 I got it!!!