The area of the heptagon will be 533.61 square feet. Then the cost of the gazebo's flooring will be $ 5336.1.
<h3>What is a polygon?</h3>
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A landscape design company is building a large gazebo for a backyard. It is in the shape of the regular polygon shown below, where the measurements are in feet.
A heptagon is given with an apothem of 12.6 ft and a side length of 12.1 ft.
Then the area of the heptagon is given as
Area of heptagon = 7 x area of a triangle
Area of heptagon = 7 x 0.5 x 12.1 x 12.6
Area of heptagon = 533.61 square ft
If the costs $10 per square foot for the special wood the homeowner wants.
Then we have
Total cost = 10 x 533.61
Total cost = $ 5336.1
More about the polygon link is given below.
brainly.com/question/17756657
#SPJ1
That's Intersecting Secants, and we get
EC × ED = EB × EA
(x+4)(x+4+1) = (x+1)(x+1+11)
(x+4)(x+5) = (x+1)(x+12)
x^2 + 9x + 20 = x^2 + 13x + 12
8 = 4 x
x = 2
Check: 3(14)=42 6(7)=42 good
Answer: 2
LORAN follows an hyperbolic path.
The equation of the hyperbola is: 
The coordinates are given as:
The center of the hyperbola is
The distance from the center to the focal points is given as:
Square both sides
The distance from the receiver to the transmitters is given as:
Divide both sides by 2
Square both sides
We have:
This gives
The equation of an hyperbola is:
So, we have:
Hence, the equation of the hyperbola is:
Read more about hyperbolas at:
brainly.com/question/15697124
Answer:
Step-by-step explanation:
Assuming you want to find the value of n.
Remember when bases are same exponents can be made equal
Here the bases are different
because notice on one side there is p/q and on the other q/p
what can we do to make them same?
You can invert the any side you want either make leftside as q/p or make right one as p/q
I will make left side as q/p
All you do is flip the denominator and numerator to do so. But that can only be done if you put a (-1) in the exponent
so underroot p/q means (p/q)^1/2 when i make it q/p
a negative one needs to be put in the exponent. That -1 when multiplied by 1/2 makes it -1/2
Now the bases are same such like.
See now the bases are same, the powers can be made equal
so
-1/2=1-2n
here n is the variable we need to find
rearrange the equation
n=3/4
Answer:
22
Step-by-step explanation:
Remark
Very nice little problem.
At first you think you need to go through the entire number system from 1 to 500. For example, you could do 12 as 1 2 3 4 6 12 So 12 does not add to the number of integers that have an odd number of factors.
But along the way if you check all the factors of the integers from 1 to 12, you notice something very odd. (No pun intended).
1 only has 1 factor which is odd (not even).
4 has 3 factors 1 2 4 which is odd.
9 has 3 factors 1 3 9 which is odd.
It turns out that there are 22 numbers from 1 to 500 that have an odd number of factors. They are the perfect squares between 1 and 500
Note
The factors of an integer include 1 and the integer itself
As a conclusion, try 36
1 2 3 4 6 9 12 18 36 There's 9 factors which is odd. So only the perfect squares have an odd number of factors.
