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
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Answer:
answer
Step-by-step explanation:
Answer:
7 cents per gallon if his tank was completely empty upon filling
Step-by-step explanation:
55.23/21=2.63 per gallon at original gas station
2.63-2.56=.07 per gallon saved
Answer:
8463/32=264 15/32
Step-by-step explanation:
Let's make every fraction improper first.
7 3/4=31/4
5 2/8=42/8
6 1/2=13/2
Simplify 42/8
42/8=21/4
21/4
31/4
13/2=26/4
21/14*31/4*26/4=(21*31*26)/64=16926/64=8463/32
5,000,000/365= 13,698.630137 hectatres per day /1440 = 9.5129375951388..... hectares per minute
365 days in a year
1440 minutes in a day (24hrs)