Answer:
The answer to your question is 10 in
Step-by-step explanation:
Data
Circumference = 20π in
Diameter = ?
Formula
Circumference = 2πr
Process
1.- Equal the formula to the value
2πr = 20π
2.- Solve for r
r = 20π/2π
3.- Simplification
r = 10/2
4.- Find the diameter
diameter = 2r
diameter = 2(10/2)
diameter = 10 in
To be able to graph the function we have to find the vertex of the graph of the function and the axis of symmetry, we know that the domain are all real numbers and the range are all positive numbers including zero.
We start by finding the vertex:
we know that the absolute value function of any number is equal or greater than zero for all real numbers this implies that the graph has a vertex for:

Solving for x we get:

We conclude that the graph of the function has a vertex for x=6. On the other hand, notice that for x<6

Then we can conclude that the graph of the function has a symmetry axis for x=6.
Finally we graph the function:
Answer: attached picture
Step-by-step explanation:
Answer:
the correct answer is 102.16
Step-by-step explanation:
2(2*3.4+2*8.2+3.4*8.2)=102.16
Answer:
The value of SecФ is
.
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф = 
Or, tanФ = 
∵ tanФ = 
So,
= 
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = (
)² + (
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = (
)
Now SecФ = 
or, SecФ =
= 
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 + 
Or, Sec²Ф = 
Or, SecФ = 
Hence The value of SecФ is
. Answer