Answer:
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Answer:
C
Step-by-step explanation:
We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.
11 / cos 38 = 13.959.....
x = 14.0
We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.
11(tan 38) = 8.594......
8.594.....² + 11² = 194.859......
Square root of 194.859..... = 13.959.......
Answer:

Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
x ----> is the number of years since 2009
y ----> is the population of bears
a ----> is the initial value
b ---> is the base
step 1
Find the value of a
For x=0 (year 2009)
y=1,570 bears
substitute


so

step 2
Find the value of b
For x=1 (year 2010)
y=1,884 bears
substitute



The exponential function is equal to

step 3
How many bears will there be in 2018?
2018-2009=9 years
so
For x=9 years
substitute in the equation


<h3>
Answer:</h3>
c. 32.56 ft
<h3>
Step-by-step explanation:</h3>
The circumference C of a circle in terms of its diameter d is ...
C = πd
Then the length of half a circle of that diameter will be ...
C/2 = (π/2)d
The total length of trim needed is ...
perimeter = 2 × rectangle sides + rectangle bottom + half-circle top
= 2 × 6 + 8 + (π/2) × 8
perimeter = 20 + 4π ≈ 32.56637 . . . . . feet
≈ 32.57 ft . . . . . most closely matches option C
_____
<em>Comment on the answer mismatch</em>
It is common on some homework web sites to see the requirement "use 3.14 for π." This is an approximation good only to 3 significant digits, so any answer obtained using this value can only be good to 3 significant digits.
As here, the problem requirement often is for an answer of 4 or more significant digits. The value 3.14 for π is inappropriate in such cases, and gives wrong answers. (The computer may say they're the right choice, but they're not the solution to the problem.)
Here, for example, if Tuan obtains only 32.56 ft of trim, he will be short a small amount and unable to finish his project completely.