I would suggest factoring using the grouping method. The answer I got was (2n-1)(n+2)
Answer: 348 students do not own a cell phone.
Step-by-step explanation:
12 out of 15 = 80%
80% of 435 = 348
Refer to the attached image.
As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.
The diameter AC = 0.35 meter.
We have to find the side of square.
Let the measure of side of a square be 'l' meter
In triangle ABC,
By Pythagoras theorem, we get
![(AC)^2 = (AB)^2 + (BC)^2](https://tex.z-dn.net/?f=%28AC%29%5E2%20%3D%20%28AB%29%5E2%20%2B%20%28BC%29%5E2)
![(0.35)^2 = (l)^2 + (l)^2](https://tex.z-dn.net/?f=%280.35%29%5E2%20%3D%20%28l%29%5E2%20%2B%20%28l%29%5E2)
![(0.35)^2 = 2(l)^2](https://tex.z-dn.net/?f=%280.35%29%5E2%20%3D%202%28l%29%5E2)
![\frac{(0.35)^2}{2} = (l)^2](https://tex.z-dn.net/?f=%5Cfrac%7B%280.35%29%5E2%7D%7B2%7D%20%3D%20%28l%29%5E2)
![l^2 = 0.06125](https://tex.z-dn.net/?f=l%5E2%20%3D%200.06125)
So, l = 0.25 meter
Therefore, the measure of side of the square is 0.25 meter.
Answer: option d
Step-by-step explanation:
Remember the identity:
![tan\alpha=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%5Calpha%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":
Knowing that: you need to find the measure of the angle "S" ,
(which is the adjacent side) and
(which is the opposite side), you can sustitute values into ![\alpha =arctan(\frac{opposite}{adjacent})](https://tex.z-dn.net/?f=%5Calpha%20%3Darctan%28%5Cfrac%7Bopposite%7D%7Badjacent%7D%29)
Then, you get that the measure of "S" rounded to the nearest tenth is:
![S=arctan(\frac{34.2}{20.5})\\\\S=59.1\°](https://tex.z-dn.net/?f=S%3Darctan%28%5Cfrac%7B34.2%7D%7B20.5%7D%29%5C%5C%5C%5CS%3D59.1%5C%C2%B0)
Answer:
h\
Step-by-step explanation: