Answer:
The initial population at the beginning of the 10 years was 129.
Step-by-step explanation:
The population of the village may be modeled by the following function.
In which P is the population after t hours, is the initial population and r is the growth rate, in decimal.
In this problem, we have that:
.
So
The initial population at the beginning of the 10 years was 129.
Answer:
The distance between the light and the actor's face is 29.24 ft
Step-by-step explanation:
In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use <u>cos</u>.
Let's plug in our numbers and variable.
Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.
Divide 10 by (cos)70.
<em>x = 29.24</em>
So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.
