The answer would be 65°.
This is because 180° -50° equals 130°. And 130° divided by two equals 65°. The two remaining angles must be equal because it is an isosceles triangle.
Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61
Answer:
5
Step-by-step explanation:
Answer:
<em>C. 3.8 years</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).
We have enough information to write the exponential model:


It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

Dividing by 800:

Taking logarithms:

Dividing by log 1.2:

Calculating:
t = 3.8 years
Answer: C. 3.8 years
Or a subset of the natural numbers.