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Mathematics 23 Online
OpenStudy (kikuo):

http://prntscr.com/b3fudo I'm having issues with these four questions. I know to use them I have to use these v http://prntscr.com/b3fvb8 http://prntscr.com/b3fvgl And circumference =diameterxpi or 2pidiameter I'm just having a hard time applying them.

OpenStudy (mjdennis):

Circumference (C) = pi*diameter = 2*pi*radius 7 is very straightforward, can you tell me what numbers to put in the equation for this problem before we tackle the tougher ones?

OpenStudy (kikuo):

@mjdennis Arc=0.4 ciir=25.12?

OpenStudy (mjdennis):

Good, you are on the right track. The arc is not just 0.4 though; it is 04 _of_the_circumference. (I cannot tell if gray is the 144° part.) Read the problem statement again, and leave pi as a symbol instead of substituting 3.14.

OpenStudy (kikuo):

I got 10 for arc length because diameter=8

OpenStudy (mjdennis):

8: find the circumference of the wheel. Since one rotation makes the wheel travel 1 circumference of road, x rotations will cover x circumferences of roads. How many times does the circumference go into 1 km? 9. Make sure you know the radius and your formula will work. 10. The 'slice' is the sector with a triangle subtracted. I'm pretty sure you can make the triangle out of two identical right triangles you know how to solve.

OpenStudy (mjdennis):

Back to 7a: r=4 and d=8, yes. So C = pi*d = 8*pi, not 10 7b. Arc is 144/360 * C, right, which is 0.4*C rest is up to you.

OpenStudy (kikuo):

I'm confused. I'm using this formula http://prntscr.com/b3g68i And I got 10 again. Also, I would need your help working with the other three questions.

OpenStudy (kikuo):

@mjdennis

jimthompson5910 (jim_thompson5910):

which problem are you on again? problem 7 part a? or have you moved on?

OpenStudy (kikuo):

Problem 7 @jim_thompson5910

jimthompson5910 (jim_thompson5910):

part a? or b?

OpenStudy (kikuo):

Part b

jimthompson5910 (jim_thompson5910):

ok I'm assuming they want the dark gray arc. They used two different types of gray here.

jimthompson5910 (jim_thompson5910):

what was your answer to part (a) ? that will be used to answer part (b)

OpenStudy (kikuo):

25.12 for a

jimthompson5910 (jim_thompson5910):

Leave your answer in terms of pi

jimthompson5910 (jim_thompson5910):

Example: if the diameter is 12, then the circumference is 12pi

OpenStudy (kikuo):

8pi

jimthompson5910 (jim_thompson5910):

yep that's the answer to part (a)

jimthompson5910 (jim_thompson5910):

now you'll multiply that with (144/360) to get the piece of the curve

OpenStudy (kikuo):

0.4? @jhonyy9

jimthompson5910 (jim_thompson5910):

144/360 = 0.4 0.4*8pi = 3.2pi so the whole circumference is 8pi (answer to part a) the arc is 3.2pi (answer to part b)

OpenStudy (kikuo):

Got it! Alright, what about the next three questions. (Want me to open another thread or) @jim_thompson5910

jimthompson5910 (jim_thompson5910):

`Want me to open another thread` yes please. One thread per question

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