The correct answer to this question is this one:
Regular triangle with :
bearing from the western station = 90° - 40° = 50°
bearing from the eastern station.= 90° + 22° = 112°
-> the third angle : 18°
Thus the distance from balloon to the western station:
x/ sin112 = 165 / sin 18
Answer:
10 friends
Step-by-step explanation:
we know that
The formula of the sum is equal to
![sum=\frac{n}{2}[2a1+(n-1)d]](https://tex.z-dn.net/?f=sum%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a1%2B%28n-1%29d%5D)
where
a1 is the first term
n is the number of terms (number of friends)
d is the common difference in the arithmetic sequence
In this problem we have
----> the common difference
substitute in the formula and solve for n
![275=\frac{n}{2}[2(5)+(n-1)(5)]](https://tex.z-dn.net/?f=275%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%285%29%2B%28n-1%29%285%29%5D)
![550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0](https://tex.z-dn.net/?f=550%3Dn%5B10%2B5n-5%5D%5C%5C%20%5C%5C550%3D10n%2B5n%5E%7B2%7D%20-5n%5C%5C%20%5C%5C5n%5E%7B2%7D%2B5n-550%3D0)
Solve the quadratic equation by graphing
The solution is n=10
see the attached figure
therefore
She had 10 friends who got stickers
Answer:
Step-by-step explanation:
circumference = 2* pi * radius = 1
-> radius = 0.1592 mile
-
> diameter = 2* radius = 0.31847 mile
Answer:
57/100
Step-by-step explanation:
This is the answer because:
1) Since 0.57 in the hundredths place, the denominator is going to be 100
2) We have 57 of a 100, therefore, 57 is going to be the numerator
3) Now, our fraction is 57/100
4) We cannot simplify this fraction any further because they do not have any common multiples or factors
Hope this helps!
