100/x=300/45 Factor out 100/x=15×20/15×3 Cancel common factor
100/x=20/3 100(3)=20(x) 300=20x 300/20=X 15=x
This is asking how many ways can we choose 13 songs from a set of 25.
The formula is:
n! / r! * (n -r)! =
25! / 13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 *13! divided by
13! * 12! which equals
25 *24 *23 *22 *21 *20 *19 *18 *17 *16 *15 *14 divided by
12* 11* 10* 9* 8* 7* 6* 5* 4* 3* 2*
which equals
<span>
<span>
<span>
2,490,952,020,480,000
</span>
</span>
</span>
divided by
<span>
<span>
<span>
479,001,600
</span>
</span>
</span>
and that equals
<span>
<span>
<span>
5,200,300
</span>
</span>
</span>
combinations
Here's a combination calculator to check your work:
http://www.1728.org/combinat.htm
Answer:
a line of symmetry is a line divide an object in to two equal parts. answer is A
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
