To find the sum of the interior angles of a heptagon, divide it up into triangles ... There are five triangles... Because the sum of the angles of each triangle is 180 degrees... We get.
Find the GCF (Greatest Common Factor) of both numbers. It is 3.
Divide both numbers by the GCF.
The simplest form is 1/3.
the perimeter of each side is 5 so the answer is 20
Answer:
Step-by-step explanation:
You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.
__
<h3>a)</h3>
Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.
__
<h3>c)</h3>
For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...
Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r
We want to find n such that ...
Sn ≥ 1,000,000
1 × (2^n -1)/(2 -1) ≥ 1,000,000
2^n ≥ 1,000,001 . . . . add 1
n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm
n ≥ 19.93
The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.
Th matrix is missing. The matrix is :
Solution :
The column of the matrix are 
, 
, 
Now each of them are vectors in 
. But has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.
Therefore, the column of the given matrix does not form the 
as the set contains 
than there are entries in each vector.
Therefore, option (D) is correct.
