Answer:
8 sides
Step-by-step explanation:
let x be the exterior angle then 3x is the interior angle
interior angle + exterior angle = 180° , then
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
the sum of the exterior angles of a polygon = 360°
since the polygon is regular with each exterior angle = 45°, then
number of sides = 360° ÷ 45° = 8
Answer:
In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.
Answer: Second option
Step-by-step explanation:
You need to make the multiplication of the function
and the function
. Then:

You need to apply the Distributive property:

Therefore, the domain will be all the number that make the denominator equal to zero.
Then, make the denominator equal to zero and solve for x:

Therefore, the domain is: All real values of x except 
Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let
be the distance of route around edges

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,

In the given scenario
P = 60
B = 80
Now

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

Hence,
The route across the park is 40 meter shorter than the route around its edges.