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Mathematics 14 Online
OpenStudy (carolina4567):

MEDAL :)

OpenStudy (carolina4567):

Using the following equation, find the center and radius: x2 −2x + y2 − 6y = 26 The center is located at (−1, −3), and the radius is 36. The center is located at (1, 3), and the radius is 36. The center is located at (−1, − 3), and the radius is 6. The center is located at (1, 3), and the radius is 6.

OpenStudy (carolina4567):

@amistre64

OpenStudy (carolina4567):

@israr000

OpenStudy (carolina4567):

I woul say C

OpenStudy (carolina4567):

*Would

OpenStudy (carolina4567):

Help

OpenStudy (amistre64):

you would need to complete the square to be sure

OpenStudy (amistre64):

x2 −2x +1 + y2 − 6y +9 = 26 +1 +9 , radius of 6 is looking good (x-1)=0 and (y-3)=0 do not give us a center at -1,-3

OpenStudy (carolina4567):

Right so looking at this our only solution would be D

OpenStudy (amistre64):

correct

OpenStudy (carolina4567):

YAY! I have one more similar to this one. Give me a sec

OpenStudy (carolina4567):

A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true? The circle is centered at (−8, 3) and has a radius of 20. The circle is centered at (8, −3) and has a diameter of 20. The circle is centered at (8, −3) and has a radius of 20. The circle is centered at (−8, 3) and has a diameter of 20.

OpenStudy (carolina4567):

So I would say B idk about u

OpenStudy (amistre64):

your issue seems more to do with finding a center on these. the center will zero out your x and y parts: x+8=0 y-3=0

OpenStudy (carolina4567):

Ok, Then we..............

OpenStudy (amistre64):

then we choose the one that has the right center

OpenStudy (carolina4567):

So supposing this, it would mean that D right?

OpenStudy (amistre64):

yes

OpenStudy (igreen):

@amistre64 Is it okay to explain something then give the answer? Or do you HAVE to lead them to it?

OpenStudy (carolina4567):

YAY! OMG UR AN AWSOME TEACHER

OpenStudy (amistre64):

you have to lead them to it, and then correct them as needed.

OpenStudy (carolina4567):

:)

OpenStudy (igreen):

Oh

OpenStudy (carolina4567):

I have this one too. I hope im not too much of a bother. Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 3 inches, and the height of the cone is 5 inches. If the diameter of the bubble gum is 1.1 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? Use 3.14 for pi. 31.87 cubic inches 36.92 cubic inches 46.40 cubic inches 62.87 cubic inches

OpenStudy (carolina4567):

I was saying C but my sister says its B

OpenStudy (amistre64):

this one has a few steps to it determine the volume of a truncated cone, and subtract the volume of half a sphere.

OpenStudy (carolina4567):

My sis did the steps and got the answer B it looks pretty convincing but im not sure

OpenStudy (carolina4567):

But after considering I and doing the math we came up to A. What do u think @amistre64

OpenStudy (amistre64):

The radius of the snow cone is 3 inches, and the height of the cone is 5 inches. 5h to 6d ratio If the diameter of the bubble gum is 1.1 inches, 5(1.1)/6 to 6(1.1)/6 .916667 height with a radius of .55 5 * 3^2 pi/3 - .916667*.55^2pi/3 = volume of truncated cone subtract from that: 1/2 (4pi .55^3/3) what is the closest approximation of the volume of the cone that can be filled with flavored ice? Use 3.14 for pi.

OpenStudy (amistre64):

5 * 3^2 pi/3 - .916667*.55^2pi/3- 1/2 (4pi .55^3/3) the wolf says C is the better route

OpenStudy (carolina4567):

Yay i was right :)

OpenStudy (carolina4567):

So this is the oficial last one :P

OpenStudy (carolina4567):

Lines CD and DE are tangent to circle A as shown below:

OpenStudy (carolina4567):

If arc CE is 130°, what is the measure of ∠CDE? 20° 40° 42.5° 50°

OpenStudy (carolina4567):

OpenStudy (carolina4567):

So after calculations we got to B what do u think? did we do good.

OpenStudy (amistre64):

what were the calcs you used?

OpenStudy (carolina4567):

Well they used postulates. Idk why but I was going to say it was C bcause its most resonable.

OpenStudy (carolina4567):

bcause since it is 130 degrees the other 42.5 would be better in then 40

OpenStudy (amistre64):

what is the sum of the inside angles of a square (a regular quadralateral)?

OpenStudy (carolina4567):

is it not 180

OpenStudy (amistre64):

trianlge is 180 square is 4*90 = 360

OpenStudy (amistre64):

we are given, x + 90+90+130 = 360 in this case

OpenStudy (carolina4567):

Ohhh

OpenStudy (amistre64):

we could also do an average ... (360-130)-130 -------------- 2

OpenStudy (carolina4567):

So answer would be.

OpenStudy (amistre64):

ive given you 2 options to work with ... the math is simple enough. what are the results?

OpenStudy (amistre64):

internet likes to conk out ...

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