Answer:
25
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
In this isosceles right triangle, the acute angles are equal and the side lengths have the ratios 1 : 1 : √2
y° = 90° -45° = 45°
9 : x : z = 1 : 1 : √2 = 9 : 9 : 9√2
x = 9; z = 9√2
Answer:
0.4375
Step-by-step explanation:
7/16 is equal to 0.4375
" the sum " means add
16 + x = 20 <= ur equation
x = 20 - 16
x = 4 <== the number
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