Answer:

Step-by-step explanation:
We have a geometric sequence with:
,
, and 
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:

Then:

Now we solve for 


b< 11: The board is shorter than 11 cm
b > 11: The box contains more than 11 books
b < 12: There are fewer than 12 beetles in a jar.
b > 12: The building is taller than 12 ft
7.6x = 64
x = 64/7.6
x =
<span>
<span>
<span>
8.4210526316
</span>
</span>
</span>
So, 3.05 is NOT the solution
Answer:
2√2
Step-by-step explanation:
We can find the relationship of interest by solving the given equation for A, the mean distance.
<h3>Solve for A</h3>

<h3>Substitute values</h3>
The mean distance of planet X is found in terms of its period to be ...

The mean distance of planet Y can be found using the given relation ...

The mean distance of planet Y is increased from that of planet X by the factor ...
2√2
Answer:
BE = 22.4 cm
Step-by-step explanation:
Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
8 CE = 128 ( divide both sides by 8 )
CE = 16 cm
Then
BE = BC + CE = 6.4 + 16 = 22.4 cm