Answer:
Davide is 10 years old.
L'età di Davide è 10.
Step-by-step explanation:
The average ages of Aldo, Bruno, Carlo, and Davide amount to 16 years.
Let’s denote:
x for Aldo's age.
y for Bruno's age.
z for Carlo's age.
w for Davide's age.
The average for all four is 16 years.
This gives us:
Excluding Davide, the average age of the other three is 18. Therefore:
Substituting into the original equation:
Hence, Davide’s age is indeed 10.
L'età di Davide è 10.
I believe the simplest form remains 865:2678, although I could be mistaken.
Applying the cosine law, we can determine:
<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>
<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>
<span>Now we solve for C</span>
<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C)
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°
<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>
The factors of 36 include: 1, 2, 3, 4, 6, 9, 12, 18, 36.
For 34, the factors are: 1, 2, 17, 34.
The factors of 22 are: 1, 2, 11, 22.
The greatest common factor (GCF) is 2.
