Pythagorean theorem:
AC² + BC² = AB²
since this is isosceles (2 sides the same length), we can just let BC = AC and get
AC² + AC² = AB²
2AC² = AB²
AC² = AB²/2
AC = √(AB² / 2)

AC and BC are 6 meters
The first and the last ones are tge only functions
Step-by-step explanation:
Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.
We have 180° - 360°/n = 160°.
=> 360°/n = 20°, n = 18.
Therefore it is a 18-sided regular polygon.
Answer:
38.26 years.
Step-by-step explanation:
We have been given that the population of an endangered animal by reduces 8% per year. the current population of the animal is 1700. When the population of this animal falls below 70, its extinction is inevitable.
Let us write the model for population of this animal (y) after x years.
Since we know that an exponential decay function is in form:
, where,
a= Initial value.
r = Rate in decimal form.
Let us convert our given rate in decimal form.

Upon substituting a= 1700 and r = 0.08 in exponential function, we will get the model of animal population as:


Let us find, when the animal population will face extinction by substituting y=70 in our function.

Let us take natural log of both sides of our equation.




Therefore, the population of the animal will face extinction after 38.26 years.