<h3>
Answer: (5/9, -7/6)</h3>
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Explanation:
Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.
The coordinates of point B are x = 5/3 and y = -7/2
So we have
(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate
and
(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate
The point (5/3, -7/2) moves to (5/9, -7/6)
Here are the answers:
1.D
2.D
3.C
4.A
5.C
Now
Now
Probability of not selecting gray =12/14
Now
But pink is in 5
Answer:
Step-by-step explanation:
Volume of cylinder formula:
<h3>Given</h3>
Find r by substituting given values:
- 64π = πr²*4
- 64π = 4r²π
- 16 = r²
- r = √16
- r = 4 m
Correct choice is A.
Answer:

And solving for the radius we got:

And replacing the data given we got:

And this value converted to meters is 
Step-by-step explanation:
For this case we know the population size
and we also know the population density 
We can assume that the area is a circle. We also know that the formula for the population density is given by:

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

With X the radius of the circle
And then the populationd density become:

And solving for the radius we got:

And replacing the data given we got:

And this value converted to meters is 