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Math Fun #1184671
04/28/19 02:42 PM
04/28/19 02:42 PM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
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-1. Can a ball with a diameter of 7 cm pass through the gap between the ball, ground, and wall? Please explain your answer.

[Linked Image]

-2. How many times a day does a digital clock show digits that can be read the same forward and backward? For example, 01:10 Note that the clock displays time on a 24-hour scale.


-3. A young boy was carrying buckets of water from the well. When the bucket was 1/3 full, it weighed 3.5 lb. When it was full, it weighed 6.5 lb. How heavy is the bucket?



The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184685
04/28/19 04:06 PM
04/28/19 04:06 PM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline
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3.
When the bucket was 1/3 full, it weighed 3.5 lb. [1]
When it was full, it weighed 6.5 lb. [2]
How heavy is the bucket?

b = bucket weight
w = water weight

b + w/3 = 3.5
3b + w = 10.5 [1]

b + w = 6.5
w = 6.5 - b [2]

[2] in [1]:
3b + 6.5 - b = 10.5
2b = 10.5 - 6.5
2b = 4
b = 2

https://www.youtube.com/watch?v=045__ojHb_g


I'm a man of few words, BUT I use 'em often!!
Re: Math Fun [Re: Pandora] #1184686
04/28/19 04:28 PM
04/28/19 04:28 PM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
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Upstate NY
Extra credit for Denis! wave


The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184733
04/29/19 05:38 AM
04/29/19 05:38 AM
Joined: Nov 2004
Posts: 21,950
Bucks, England
Urban Worrier Offline
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1. Yes it can.

Distance from centre of large ball to corner of floor and wall = sqrt(400+400) = 28.28 cm (good ol' Pythagoras)
Large ball has radius of 20 cm, leaving a gap of 8.28 cm for the small ball to pass through


To waste one second of one's life is a betrayal of one's self.
I wonder what's on television...?
Re: Math Fun [Re: Pandora] #1184750
04/29/19 08:37 AM
04/29/19 08:37 AM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
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Good start, and it feels right, but nope. smile


The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184851
04/30/19 07:58 AM
04/30/19 07:58 AM
Joined: Nov 2004
Posts: 21,950
Bucks, England
Urban Worrier Offline
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Now I look at it, can see what you mean . Hm - but how to prove it... hardwall


To waste one second of one's life is a betrayal of one's self.
I wonder what's on television...?
Re: Math Fun [Re: Pandora] #1184877
04/30/19 03:12 PM
04/30/19 03:12 PM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
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Pandora  Offline OP
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Upstate NY
I'll start you off. The 20 cm radius circle has it's center 28.28 cm from the corner, as you showed. How about the 7 cm circle? smile


The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184882
04/30/19 04:07 PM
04/30/19 04:07 PM
Joined: Nov 2004
Posts: 21,950
Bucks, England
Urban Worrier Offline
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Gotcha thanks

The smaller circle's centre would be sqrt(3.5^2 + 3.5^2) = 5 cm away from the corner. This means its outer edge would be 5 + 7/2 = 8.5 cm away, more then the allowable 8.28. So - no-go think


To waste one second of one's life is a betrayal of one's self.
I wonder what's on television...?
Re: Math Fun [Re: Pandora] #1184889
04/30/19 07:27 PM
04/30/19 07:27 PM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
Sonic Boomer
Pandora  Offline OP
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So no-go! wave


The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184941
05/01/19 08:09 AM
05/01/19 08:09 AM
Joined: Apr 2003
Posts: 17,630
The Outer Limits
Cue Offline
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The Outer Limits
2. I'm going to go with 16

0000 0110 0220 0330 0440 0550 1001 1111 1221 1331 1441 1551 2002 2112 2222 2332


Did you ever stop to think and then forget to start again?
Re: Math Fun [Re: Pandora] #1184944
05/01/19 08:19 AM
05/01/19 08:19 AM
Joined: Aug 2000
Posts: 53,014
Upstate NY
Pandora Offline OP
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Pandora  Offline OP
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Posts: 53,014
Upstate NY
And just in time, Cue! wave


The moon is actually more useful than the sun since the moon gives us light at night when it's dark. The sun only gives us light during the day when it's already bright out.
Re: Math Fun [Re: Pandora] #1184954
05/01/19 09:57 AM
05/01/19 09:57 AM
Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
CanukDenis Offline
Graduate Boomer
CanukDenis  Offline
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Joined: Nov 2000
Posts: 18,719
Ottawa Ontario Canada
I like #1: easy to jump to conclusions!

Exact answer:
diameter = 40(3-2√2) = ~6.86, so poor "7" is outta luck! smile


I'm a man of few words, BUT I use 'em often!!
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