10:30 because an hour before 11:20 is 10:20, but it was only 50 minutes, so add 10 minutes to 10:20 , and there you have it, 10:30.
Answer:
The sum of the first six terms is 38.39
Step-by-step explanation:
This is a geometric sequence since the common difference between each term is 
Thus, 
To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.
To find the fifth term:
The general form of geometric sequence is 
To find the fifth term, substitute
in 

To find the sixth term, substitute
in 

To find the sum of the first six terms:
The general formula to find Sn for
is 

Thus, the sum of first six terms is 38.39
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.
Answer: DC=30.5
Step-by-step explanation:
Use trigonometry to solve this question
----------------------------------------------------------
First Step: find BD
- AB relative to 54° is [hypotenues]
- BD relative to 54° is [opposite]
- Therefore, we need to use O/H, which is Sin
- sin(54°)=O/20=20·sin(54°)=16.2
Second Step: Find DC
- DC relative to 28° is [adjacent]
- BD relative to 28° is [opposite]
- Therefore, we need to use O/A, which is tan
- tan(28°)=16.2/A=16.2/tan(28°)=30.5
Hope this helps!! :)
Please let me know if you have any questions