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x ≈ 3.1 ft

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector, thus

The triangle is right with base = x

Applying Pythagoras' identity to the right triangle, then

( x )² + 1.4² = 2.1²

x² + 1.96 = 4.41 ( subtract 1.96 from both sides )

x² = 2.45 ( multiply both sides by 4 )

x² = 9.8 ( take the square root of both sides )

x = ≈ 3.1 ft ( to the nearest tenth )

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

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step-by-step explanation: