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:
6.7
Step-by-step explanation:
a2 + b2 = c2
6 2 + b2 = 9 2
36 + b2 = 81
<u>-36 . - 36</u>
0 . 45
45 2
6.7
Answer:
Step-by-step explanation:
for missing angle of triangle ABC
let the missing angle be y
31+111+x=180(sum of interior angle of a triangle is 180 degree)
142+y=180
y=180-142
y=38 degree
x=y(being alternate angles)
x=38 degree
Answer:
g or h whichever u think is best
Step-by-step explanation:
Answer:
<u>135 cubes</u>
Step-by-step explanation:
Volume of cuboid :
- 45 x 16 x 12
- 720 x 12
- 8,640 cm³
Volume of a small cube :
Number of cubes :
- n = 8,640/64
- n = <u>135 cubes</u>