The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
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Answer:

Step-by-step explanation:
The nth term for the geometric sequence is given by:

where,
is the first term
r is the common ratio
n is the number of terms.
As per the statement:
For the geometric sequence of
and r=2
We have to find 
for n = 5;

Substitute the given values we have;

⇒
Therefore, the value of
is, 32
Answer:
C+3
Step-by-step explanation:
1.) 1.5m/8m= fg/32m
2.) 1.5 (32)= 8m * fg
3.) 1.5 (32)/8m= fg
4.) 6m = fg
Im pretty sure that's right