Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
This is perhaps the most odd math question I have ever come across. Anyhow -
#1 - Positive, because smoking increases the chance of having lung cancer. (though technically there is not a linear relationship between the two as people do in fact receive lung cancer even when having not smoked)
#2 - No relationship. (Though one could argue a student may text more when given more free time as a consequence of having spent less time at school, but this is wholly subjective and unable to be substantiated by logic.)
#3 - Negative, due to the mass of the tootsie pop decreasing with each lick.
Of course, I am assuming when you say "positive" and "negative" you are speaking in terms of numbers or addition and subtraction rather than "positive" or "negative" socially.
Using an exponential function, it is found that the value of David's Investment will be at least $415 after a period of 20 years.
<h3>What is an exponential function?</h3>
An increasing exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem, the initial value and the growth rate for his investment are given by:
A(0) = 230, r = 0.03.
Hence, the value after t years is given by:

Then, the value will be of at least $415 when:







More can be learned about exponential functions at brainly.com/question/25537936
#SPJ1
The correct answer would be $66