To be a gcf of a number, they have to all divide by it evenly
so if 2 is a gcf of 12 and 6 then 6/2=3 =whole and 12/2=6=whole so
therefor we can just introduct other factors which are not equal
just multiply 16 by 3 prime numbers or different numbers
16 times 2 =32
16 times 3=48
16 times 5=80
and that is an example
The area of the entire sector is ![(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi](https://tex.z-dn.net/?f=%28%5Cpi%29%286%5E%7B2%7D%29%20%5Cleft%28%5Cfrac%7B60%7D%7B360%7D%20%5Cright%29%3D6%5Cpi)
The area of the triangle OAB is
.
So, the area of the segment is ![\boxed{6\pi-9\sqrt{3}}](https://tex.z-dn.net/?f=%5Cboxed%7B6%5Cpi-9%5Csqrt%7B3%7D%7D)
Answer:
0.4 ft
Step-by-step explanation:
It can be convenient to let a spreadsheet compute the values for you. Here, we have written an explicit formula for the height of the n-th bounce:
h = 5.5×0.64^(n-1)
We have written the formula this way because we are given the height of the first bounce, not the starting height. Each bounce multiplies the height by a factor of 0.64. Then the 7th bounce will have a height of ...
h = 5.5×0.64^6 ≈ 0.378 ≈ 0.4 . . . . feet
Answer:
Option B.
Step-by-step explanation:
Let the radius of the snare drum = r
and radius of the model = R
Ratio of the dimensions of the snare drum and the model = 1 : 4
So, ![\frac{r}{R}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7BR%7D%3D%5Cfrac%7B1%7D%7B4%7D)
Now as per question, dimensions of the snare drum is multiplied by a scale factor of ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Radius of the snare drum = ![\frac{r}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B2%7D)
Ratio of the radius of the snare drum and cylindrical model ,
![\frac{\frac{r}{2}}{R} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Br%7D%7B2%7D%7D%7BR%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
![\frac{r}{2R}=\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7B2R%7D%3D%5Cfrac%7B1%7D%7B4%7D)
![\frac{r}{R}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7BR%7D%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore, the cylinder with Sara's dimensions will be geometrically similar but the scale factor will be 1 : 2
Option B is the answer.