3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2

option 4

Step-by-step explanation:

LA = πrl

Here, l > slant height

l= 21 ft

r = 12 ft

LA = 3.14*12*21  =  791.7 square ft

SA = πr(l + r)

= 3.14*12 *(12+21)

=3.14* 12 * 33

= 1244.1 square ft

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!

i do not know the answer

step-by-step explanation: