Plz help due tomorrow!!!!
1 answer:
Answer:
E' = (-4, 3) Answer C in your list of options
See attached image for the plot.
Step-by-step explanation:
Recall that a rotation in 180 degrees around the origin produces the following change in coordinates: (x, y) --> (-x, -y)
Therefore, since we read the coordinates of point E as: (-4, 3),
the new coordinates after the rotation will be: (4, -3) and the point will look like the red point in the attached image.
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Answer:
Hey!
Your answer is C.42.4yd
Step-by-step explanation:
There are 2 ways you can work this on out...
1. Using Pythagoras Theorem...
= 30^2 + 30^2 = 1,800 (30^2=900 so you've added 2 of those to make 1,800)
= SQUARE ROOT THE ANSWER OF 1,800
= 42.42640687119285
TO GET A MORE PRECISE ANSWER WE ROUND IT UP TO 1 decimal place
= 42.4 yd is the diagonal length of the dance floor!!
HOPE THIS HELPS!!
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: 
where
is the volume
is the radius
is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:
. We also know that the radius is r cm and height is h cm, so 
and 
. Lets replace the values in our formula:
Next, we are going to use the formula for the area of a cylinder:
where
is the area
is the radius
is the height
We know from our previous calculation that, so lets replace that value in our area formula:
By the commutative property of addition, we can conclude that:
where
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:
Next, we are going to use the formula for the area of a cylinder:
where
We know from our previous calculation that
By the commutative property of addition, we can conclude that: