Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈ 
3.06 ≈ x
x ≈ 3.06
<h3>
Answer: Choice C) 31</h3>
==============================================
Explanation:
The recursive rule
f(n+1)=f(n)-3
can be rearranged to
f(n) = f(n+1)+3
after adding 3 to both sides
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Now let's say we plug in n = 3
f(n) = f(n+1)+3
f(3) = f(3+1)+3
f(3) = f(4)+3
f(3) = 22+3
f(3) = 25
Repeat for n = 2
f(n) = f(n+1)+3
f(2) = f(2+1)+3
f(2) = f(3)+3
f(2) = 25+3
f(2) = 28
Each time we keep adding 3 to get the previous term (since the original recursive rule says to subtract 3 to get the next term; we just go backwards of what the instructions say).
Lastly, we can find that f(1) = f(2)+3 = 28+3 = 31 making the answer to be choice C.
Answer:
A) ≈22.4 concert attendees might have left early.
B) 605 attendees might leave early.
Step-by-step explanation:
A) 11/100, or 11%, of the sample left early.
11% of all the concert attendees is (11/100) × 2040 ≅ 22.4
attendees who might have left early.
B) 11% of the total attendance is 11% × 5500 = 605 attendees who might
leave early.
Answer:

Step-by-step explanation:
To answer this question you need to get the same denominator (bottom number of a fraction ) on both values
Because 7 is a factor of 35, you can multiply the whole fraction by 5, (so that the first fraction has a denominator of 35 which is the same as the other value)
×5
then you add them up but remember if the denominator is the same you do <u>not </u> add them.

Hope the answer is right, Ask if unsure :)