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
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Answer:
13.5
Step-by-step explanation:
4+5 = 9.
9/2 = 4.5
4.5 * 3 = 13.5
Answer:
430 + 16h
Step-by-step explanation:
They are staying for a week ($430)
They are renting both a kayak ($7 per hour) and paddle board ($9 per hour), without defining the amount of hours. Create a variable, for example H for hours.
To create the expression, take the $430, the $7 per hour and $9 per hour, or 430 + 16h.
<span>Reason:
<u>The angle between tangents and angle subtended by radii are supplementary</u></span><u>∠BAP = 90° </u>
x = 180 - 73 = 107°
Answer: x = 107°
