111/210 = about 53%. 52.85714% of 903 is 477.3 students. of course you can't have a fraction of a student so it is 477 students
Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:
![k = \frac{7520}{2160}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B7520%7D%7B2160%7D%20)
![k = 3.481](https://tex.z-dn.net/?f=k%20%3D%203.481)
To see how many times larger the volume is, we cube both sides
![{k}^{3} = {3.481}^{3}](https://tex.z-dn.net/?f=%20%7Bk%7D%5E%7B3%7D%20%20%3D%20%20%7B3.481%7D%5E%7B3%7D%20)
This implies that
![{k}^{3} = 42.181](https://tex.z-dn.net/?f=%20%7Bk%7D%5E%7B3%7D%20%20%3D%2042.181)
Therefore the volume of the second sphere is approximately 42 times larger
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.
Hope It Helped! :)
Answer:
Step-by-step explanation:
<u><em>(1).</em></u> (x - <em>h</em>)² + (y - <em>k</em>)² = <em>r</em>²
where <em>(h, k)</em> are coordinates of a center of the circle with radius <em>r</em>
<u><em>(2).</em></u> ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
C. because I just asked my math teacher