Find the coordinates of the point whose polar coordinates are (20,140degrees).
r=20
0=140
x=r cos (o)
y=r sin (o)
x=20 cos (140)
y=20 sin (140)
x=20 (-0.7660)= -15.32
y=20 (0.6427)= 12.85
(-15.32, 12.86)
on my answer on my paper, I left off the - and the ) at the end. She pointed at the ( at the beginning but she didn't add the negative sign for 15.32 so I'm confused on whether I got it wrong just because I left off the parenthesis at the end or the answer isn't (-15.32, 12.86)
The correct answer for the coordinates of the point with polar coordinates (20, 140 degrees) is (-15.32, 12.85). It seems that you made a small mistake in writing the coordinates. The negative sign should be included before the x-coordinate since it represents a position in the left direction on the x-axis. Additionally, the rounded value of the y-coordinate is 12.85, not 12.86.
So, the correct answer is (-15.32, 12.85), and the parentheses at the end are necessary to properly represent a pair of coordinates. However, it's important to note that different sources or platforms may have varying conventions on whether to include the closing parentheses in coordinate notation. It's recommended to follow the specific format or guidelines given by your teacher or the context in which you are providing the coordinates.