The length of side b is 52 because using the Pythagorean theorem we know that a² + b² = c². When we plug in the known values we would get 1521 + b² = 4225, and when we subtract 1521 from both sides we would get b = 52.
Answer: 2916
Step-by-step explanation: hope it helps
The inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
<h3>
What is inverse of a function?</h3>
An inverse of a function is a function that serves to replace another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the 0ut-put x .
Thus, an inverse function or an anti function is defined as a function, which can reverse into another function.
The inverse of the given function; f(x)= 3x − 12 is calculated as follows;
y = 3x - 12
replace y with x and x with y as shown below;
x = 3y - 12
now, solve for y
x + 12 = 3y
divide both sides of the equation by 3
x/3 + 12/3 = 3y/3
x/3 + 4 = y
f⁻¹(x) = x/3 + 4
Thus, the inverse of the given function 3x - 12 is determined as f⁻¹(x) = x/3 + 4.
Learn more about inverse of a function here: brainly.com/question/3831584
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The complete question is written below:
find the inverse of the function, f(x) = 3x - 12
The number of tennis ball that will fill the room is <u>1,371 tennis balls.</u>
<em><u>Given</u></em>:
Diameter of ball (d) : 2 inch
Radius (r) = half of diameter = 1 inch
Dimension of room = 20ft by 16ft by 18ft
Number of balls that will fill the room = Volume of each ball/volume of the room
Volume of the ball = volume of a sphere = 
Where,
r = 1
let 
<em>Substitute</em>:
Volume of the room = 
Therefore:
number of tennis balls that will fill the room = 
Therefore, the number of tennis ball that will fil the room will be <u>approximately 1,371.</u>
Learn more about volume here:
brainly.com/question/16098833
