15. [4] insufficient information. only given SA
16. There are 3 right triangles, 3 Pythagorean theorem equations
x²+b²= 16²
12²+a² = x²
a²+4² = b²
combine equations using substitution to get in terms of only x
substitute b² for (a² +x²) in first equation
x²+a²+4²=16²
substitute a² for (x² - 12²)
x²+x²-12²+4² = 16²
solve for x
2x² - 144 + 16 = 256
2x² = 256 + 144 - 16
2x² = 384
x² = 384/2
x² = 192
x = 13.85
rounded to nearest tenth, x = 13.9
Answer:
3
Step-by-step explanation:
6=24-6a
6a=24-6
6a^6=18^6
a=3
Answer:
The population alternates between increasing and decreasing
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A) The population density decreases each year.
B) The population density increases each year.
C) The population density remains constant.
D) The population alternates between increasing and decreasing
we have


Find the value of 
For n=2


Find the value of 
For n=3


For n=4


For n=5


therefore
The population alternates between increasing and decreasing
The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20
<h3>How to find the nth term of a sequence?</h3>
We are given the formula for a sequence as;
aₙ = -5(n² + 1n)
Where n is the position of the term.
Now, for the first term, we will have;
a₁ = -5(1² + 1(1))
a₁ = -10
The second term of the sequence is;
a₂ = -5(2² + 1(2))
a₂ = -20
Read more about Sequence at; brainly.com/question/6561461
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