Answer:
D
Step-by-step explanation:
The other choices are wrong.
45 = (x) + (x + 1) + (x + 2)
45 = 3x + 3
- 3
42 = 3x
/3
14 = x
45 = 14 + (14 + 1) + (14 + 2)
45 = 14 + 15 + 16
The ages of the 3 friends are 14, 15, and 16.
The measure of the side
is approximately 33 and the measure of angle
is approximately 12.321°.
<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>
In this problem we must apply the law of cosine and the law of sine to determine the angle Y:
<h3>Law of cosine</h3>



<h3>Law of sine</h3>




The measure of the side
is approximately 33 and the measure of angle
is approximately 12.321°. 
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512
-28xy/4
-7xy
Therefore, the first answer is correct.
Hope this helps!
Answer:
<em>It will take 9 years for the population to double</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 population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:

Simplifying:

Taking logarithms:

Applying the exponent property of logs:

Solving for t:

Calculating:

It will take 9 years for the population to double