A community for students.
Here's the question you clicked on:
 0 viewing
sebastiangonzagonza
 one year ago
A point A is graphed at (0, 3). Complete the coordinates of a shape that can be rotated about the yaxis to create a cylinder. Provide an explanation for your answer to receive full credit.
sebastiangonzagonza
 one year ago
A point A is graphed at (0, 3). Complete the coordinates of a shape that can be rotated about the yaxis to create a cylinder. Provide an explanation for your answer to receive full credit.

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439784975032:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785025693:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3If you rotate that rectangle about the yaxis, you get the cylinder in the figure.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1so i would need three other points?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785177727:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Here is the given point, (0, 3)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785243134:dw

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1okay so i would i have to use (0,0), (2,3), and (2,0)?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785297447:dw

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1i believe that would make a rectangle and when its rotated, itll become a cylinder

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0how did you determine the rest of the dimensions when you were only given one point?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Excellent job! Are you sure you need to ask me questions. Maybe I should be asking you to help me.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1HAH I dont want to make you fail @mathstudent55

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1@nincompoop i used 0,3 as a starting point. I then used the other points to create a rectangle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3When a rectangle that has an edge on the yaxis rotates about the yaxis, it creates a cylinder.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1if you plug that all into geogebra or another graphing thing, you'll be able to see that it forms a rectangle

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1was i correct to do that??

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439785459572:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439785618426:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3The problem asked for points, not equations. Also your triangle will yield a cone of rotation, not a cylinder.

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0good job at pointing out the concept, regardless

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1Quadrilateral OPQR is inscribed inside a circle as shown below. Write a proof showing that angles O and Q are supplementary. Here is the question again

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1i believe that i just needed to provide the points.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785772669:dw

nincompoop
 one year ago
Best ResponseYou've already chosen the best response.0cylinder is simply a cone, particularly when we are talking about projective geometry

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3@sebastiangonzagonza What is the arc measure in degrees of a full circle?

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1wait what?

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1im confused

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439785904928:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Look at the figure above. It shows circle O and a central angle of 80 degrees. What is x, the arc measure of the arc intercepted by the central angle of 80 degrees?

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1im not sure

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok, no problem. The arc measure is the same as the central angle measure. Since the central angle is 80 deg, then x is also 80 deg.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1ohhh okay yes, i understand

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439786146598:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3That was the case of a central angle. Now we need the case of an inscribed angle. An inscribed angle is an angle whose vertex is on the circle itself.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439786232600:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3In the case of an inscribed angle, the measure of the intercepted arc is twice the measure of the inscribed angle.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Are you ok with central angle and arc & inscribed angle and arc?

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1i believe so

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1im just a bit slow rn

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1its 12:40AM where i am rn

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Here's a summary: central angle measure = arc measure inscribed angle measure = 1/2 arc measure

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok. I'll just finish this problem and that 'll be it for tonight.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1and this is for the Quadrilateral OPQR is inscribed inside a circle question?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Yes. Now let's get back to our inscribed quadrilateral.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1perfect okay

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1lets do it

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439786524663:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Here is the inscribed quadrilateral. Let's call the circle circle C with center at point C.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439786591613:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3If you use CA as the side of a central angle, and you go around a full rotation until you end up again at CA, that would be a 360deg angle, right?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Then since that central angle measures 360 degrees, that means that a circle is considered to be an arc of measure 360 deg. Remember, we saw before that the arc measure is the same as the central angle measure.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now let's deal with angles O and Q to prove they are supplementary.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1so hold on just a second

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1how should i write this for the answer?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439786878092:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3I'm doing it now.

sebastiangonzagonza
 one year ago
Best ResponseYou've already chosen the best response.1but in words

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3The two arcs, x and y, add up to the full circle, so their measures add up to 360 deg. x + y = 360

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3If we solve for y, we get y = 360  x That means we have two arcs of measures x and 360  x.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439787014371:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439787195206:dw Now let's look at angle Q. Angle Q is an inscribed angle, An inscribed angle is half of its intercepted arc. The intercepted arc of angle Q is arc ROP Since arc ROP has measure x, then the inscribed angle Q has half of that measure, 1/2 x

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439787236852:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3dw:1439787388301:dw Now we do the same with angle Q. Angle Q is an inscribed angle. Angle Q intercepts arc PQR. The measure of angle Q is half the measure of angle PQR. That means the measure of angle Q is 1/2 (360  x) = 180  1/2 x

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Now that we have measures for angles O and Q, we recall the definition of supplementary angles: Two angles are supplementary if the sum of their measures is 180 deg.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Since we want to show that angle O and angle Q are supplementary angles, we add their measures. m<O + m<Q = 1/2 x + 180  1/2 x m<O + m< Q = 1/2 x  1/2 x + 180 m<O + m<Q = 180 Since we just showed that the measures of angles O and Q add up to 180 deg, we have proved that the angles are supplementary.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.3Ok, gtg, it's very late for me. If you have any questions, just ask. I'll try to answer them tomorrow.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.