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Mathematics 16 Online
OpenStudy (anonymous):

HELP PLEASE!!! A point A is graphed at (0, 3). Complete the coordinates of a shape that can be rotated about the y-axis to create a cylinder. Provide an explanation for your answer

OpenStudy (anonymous):

@TheSmartOne

OpenStudy (anonymous):

@strawberryswing

OpenStudy (anonymous):

help :(((((((

jimthompson5910 (jim_thompson5910):

Hint: think of a revolving door. The door itself is a rectangle. When it revolves, it sweeps out a space that is a cylinder

OpenStudy (anonymous):

@jim_thompson5910 thank you for helping, may you walk me through this question?

jimthompson5910 (jim_thompson5910):

simply plot any rectangle on the xy axis that has the point (0,3) on it if you spun the rectangle around the y axis, you would get a cylinder. And this would mimic a revolving door http://rustyharris.com/wp-content/uploads/2013/05/RevolvingDoor.gif

jimthompson5910 (jim_thompson5910):

imagine each pane of glass as one rectangular piece

OpenStudy (anonymous):

@jim_thompson5910 alright i did

jimthompson5910 (jim_thompson5910):

so all you have to do really is add more points that define this rectangle and then explain how to use this rectangle to create a cylinder

OpenStudy (anonymous):

@jim_thompson5910 may you illustrate?

jimthompson5910 (jim_thompson5910):

what do you mean?

OpenStudy (anonymous):

How would i explain the answer? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

do you see how a rectangle can be used to form a cylinder?

OpenStudy (anonymous):

yes @jim_thompson5910

jimthompson5910 (jim_thompson5910):

you're just explaining that to the teacher really

jimthompson5910 (jim_thompson5910):

you are going to explain to him/her that taking a rectangle, spinning it around, will create a 3D cylinder

OpenStudy (anonymous):

@jim_thompson5910 thank you!!!

OpenStudy (anonymous):

can you help with another one? @jim_thompson5910

OpenStudy (anonymous):

Circle A has a center of (3, 4) and a radius of 5. Circle C has a center of (0, −1) and a radius of 2. Prove that the two circles are similar.

jimthompson5910 (jim_thompson5910):

hint: try to construct triangles inside of the circles and prove those triangles are similiar

OpenStudy (anonymous):

@jim_thompson5910 how do i do that

jimthompson5910 (jim_thompson5910):

Something like this maybe |dw:1432167303717:dw|

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