5. a banner is made of a square and a semicircle. the square has side lengths of 26 inches. one side of the square is also the diameter of the semicircle. what is the total area of the banner? use 3.14 for pi

941.33 square inches

Step-by-step explanation:

Given : The side length of square = 26 inches

Area of square =

Also, it given that one side of the square is also the diameter of the semicircle.

i.e. diameter = 26 inches

Radius = half of diameter = 13 inches

Then , the area of the semicircle =

Now, the  total area of the banner = Area of square +Area of semicircle

Hence, the total area of the banner= 941.33 square inches

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

my guess is

step-by-step explanation: