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Mathematics 16 Online
OpenStudy (anonymous):

please help see attached

OpenStudy (anonymous):

OpenStudy (anonymous):

@whpalmer4 could u help me ?

OpenStudy (whpalmer4):

I'm looking at the problem, and I'm not seeing how it is that there is only one such arc which could answer the question!

OpenStudy (anonymous):

:/ and this problem doesnt have answer in the book

OpenStudy (whpalmer4):

that's 100% of the information given about the problem?

OpenStudy (anonymous):

yes!!

OpenStudy (whpalmer4):

let me consult with my esteemed colleague, the cat who just jumped into my lap :-)

OpenStudy (anonymous):

lol!!

OpenStudy (anonymous):

i do have another question i need help on and can always just ask my teacher tomorrow about this one!

OpenStudy (anonymous):

so maybe will just ask the other question i have lol

OpenStudy (whpalmer4):

go ahead and ask it, maybe we can make some progress there! I'm still scribbling on this one

OpenStudy (anonymous):

ok :) so here it is there r a few i am chewing on to figure out lol

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

@Mertsj could u help maybe with first question please

OpenStudy (whpalmer4):

okay, the first of the second batch: the pendulum is like the radius of a circle, right? Find the circumference of the circle, and then take 8/360 of it, because there are 360 degrees in one complete trip around the circle.

OpenStudy (whpalmer4):

Second one, you'll do something similar, except with areas, and you'll do it twice: once for the outer radius, to get the entire circle, and once for the inner radius, to get the area to subtract away. Then take 130/360 of the annular ring's area.

OpenStudy (whpalmer4):

3rd one you should be able to figure out by extension from these two.

OpenStudy (whpalmer4):

Okay, I guess we can draw something like this:|dw:1392686496956:dw|

OpenStudy (whpalmer4):

\[h=r-18\]\[h^2+30^2 = r^2\]\[(r-18)^2 + 30^2 = r^2\]Solve that for \(r\) to get the radius of the circle under the bridge

OpenStudy (whpalmer4):

I guess that does mean that there's only one circle that fits, but it doesn't instinctively feel that way, does it?

OpenStudy (anonymous):

so for the second one with the windshield which number do i use for the r?

OpenStudy (whpalmer4):

well, you have two radii. The outer edge of the ring has \(r = 18\). What about the inner edge of the ring?

OpenStudy (anonymous):

12 inches?

OpenStudy (whpalmer4):

look at the drawing more carefully. they are hoping you'll fall into that trap :-)

OpenStudy (anonymous):

?? not sure

OpenStudy (whpalmer4):

|dw:1392687897082:dw| sorry about the bad artwork!

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