Answer:
8008
Step-by-step explanation:
nCr=16!/6!*(16-6)!=8008
Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get



On cross multiplication, we get




Therefore, the value of x is 9.
Answer:
1/4, -1/8, and 1/16
Step-by-step explanation:
Geometric sequence: -2, 1, -1/2, ....
Geometric sequence means there is a common ratio.
so from -2 , the next term is -2*r , and the next term is -2*r*r
-2r = 1, means r = -1/2
then next after -1/2, is 1/4,
and then... -1/8, and then 1/16
Let's look at the formula for the volume of a sphere:
Volume = (4/3) (pi) (radius)³ .
If you multiply the radius of a sphere by 'anything',
then the volume gets multiplied by (anything)³ .
Going the other direction, if you multiply the volume by
'something', then the radius gets multiplied by ∛(something).
In this question, the ratio of the volumes is 3 .
So the ratio of the radii (radiuses) is ∛3 = about 1.442 (rounded)
Is 3 dollar per peso I hope this help you