Answer:
The next number in the sequence is 1/9
Step-by-step explanation:
The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as
An= A0*r^(n-1)
The nth term of the sequence is the first term A1 multiplied by a common factor r.
In your problem A1 is 9. The common factor between terms is 1/3 because
9* (1/3) = 9/3= 3
3* (1/3) = 9/3= 1
1* (1/3) = 1/3= 1/3
So the fifth term n= 5 is
An= A0*r^(n-1)
A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9
The answer is 1/9
The next number in the sequence is 1/9.
The sequence provided is 9, 3, 1, 1/3. To identify the pattern and find the next number in the sequence, we observe that each subsequent term is obtained by dividing the previous term by 3.
9 ÷ 3 = 3
3 ÷ 3 = 1
1 ÷ 3 = 1/3
Therefore, the pattern suggests that we should divide the last term, 1/3, by 3 to find the next number:
(1/3) ÷ 3 = 1/9
Learn more about Sequence here:
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Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given:-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
Substitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².
Hi there
The answer is B , 100
because
√100= 10 (That is a perfect square)
I hope that's help !
many years will the trees be the same height? How tall will the
trees be? system of equations
Answer:
5 pieces
Step-by-step explanation:
Given:
Paula's painting has a perimeter of 1.22 meters.
She wants to put ribbon around the edge.
If the ribbon comes in pieces that are 25 centimeters long.
Question asked:
How many pieces of ribbon does she need to go all the way around her painting?
Solution:
Perimeter of painting = 1.22 meters
First of all we will convert it into centimeters:-
As we know:
1 meter = 100 centimeters
1.22 meters = 100 1.22 = 122 centimeters
Now, as given that ribbon comes in pieces of 25 cm long and total we should have 122 cm to go all the way around the painting.
Number of pieces of ribbon will be needed =
Thus, she need 5 pieces of 25 cm long ribbon to go all the way around the painting.
Note:-This is by default understood that few length of 5th ribbon will be left over.