Answer:
24 m^2
Step-by-step explanation:
Given data
Length= 4 meters
Width= 2+4= 6 meters
We know that the expression for the area of a rectangle is given as
A= Lenght* Width
A= 4*6
A= 24m^2
Hence the area is 24 m^2
Answer:
The tip of the minute hand move in 24 hours is 150.85 inches.
Step-by-step explanation:
Given : The minute hand of a clock is six (6) inches long.
To find : How far does the tip of the minute hand move in 24 hours?
Solution :
We know that,
1 hour = 60 minute
24 hour = 
The angle form is
.
The radius is r=6 inches
Using length of arc formula,




Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.
Answer:

Step-by-step explanation:
we know that
To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.
we will proceed to verify each case to determine the solution of the problem
<u>case A)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case B)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y


Let


therefore
f(x) and g(x) are inverse functions
<u>case C)</u> ![f(x)=x^{5}, g(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B5%7D%2C%20g%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
fifth root both members
![y=\sqrt[5]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B5%5D%7Bx%7D)
Let

![f^{-1}(x)=\sqrt[5]{x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B5%5D%7Bx%7D)
therefore
f(x) and g(x) are inverse functions
<u>case D)</u> 
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y





Let



therefore
f(x) and g(x) is not a pair of inverse functions
Nice? ...........................