Use the equation for the area of a triangle:
where A = area, h = height of the triangle, and b = base of the triangle.
You know that h=18m and A=99
. Plug those values into the equation and solve for b, the base.
The base is 11m long.
Here we have to choose any 12 out of 50
here order of choosing jury does not matter it is only a group of 12 people we have to make
We know when we have to choose any r articles out of total n articles we can choose it in total ncr ways where c is a combination formula
ncr= n! / ( r! * ( n-r)!) (" ! " is factorial operation )
we have to find out 50 C12 = 50 ! /( 12 ! * ( 50-12)!) = 121399651100
Answer:
Step-by-step explanation:
Build a Polynomial Knowing its Roots
If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:
Where a is the leading coefficient.
Note the roots appear with their signs changed in the polynomial.
If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:
Answer: 1,953,125
This is one single value and it is just a bit under 2 million.
Or more accurately, it's a bit over 1.9 million.
===========================================================
Explanation:
- a = 5 = first term
- r = -5 = common ratio
Note that dividing any term by its previous term gets us the common ratio
- r = term2/term1 = -25/5 = -5
- r = term3/term2 = 125/(-5) = -5
The r value must stay the same the entire time, or else the sequence isn't geometric.
The nth term of any geometric sequence is a*(r)^(n-1). With the 'a' and 'r' values we found, we update that to 5(-5)^(n-1)
-----------------
To verify that is the correct nth term expression, plug in various values of n to compare it with the given sequence.
If we tried n = 2 for instance, then we find the 2nd term is
5(-5)^(n-1) = 5(-5)^(2-1) = -25
which matches what your teacher gave you. I'll let you verify the other terms.
-----------------
The last thing we need to do is plug in n = 9 and simplify
5(-5)^(n-1)
5(-5)^(9-1)
5(-5)^8
5(390625)
1,953,125 this is one single value (rather than 3 separate values)
Step-by-step explanation:
