Answer:
x=36
Step-by-step explanation:
So, lets go over what we know:
16 is equal to 4/9ths of x.
As a equation, this looks like:
![16 = \frac{4}{9}x](https://tex.z-dn.net/?f=16%20%3D%20%5Cfrac%7B4%7D%7B9%7Dx)
We can begin to solve for x by multiplying both sides by the denominator, 9, which gets us:
![16*9 = 4x](https://tex.z-dn.net/?f=16%2A9%20%3D%204x)
=
![144 = 4x](https://tex.z-dn.net/?f=144%20%3D%204x)
Then we can divide by the coefficent of x, which is 4, to get our answer:
![\frac{144}{4} = x](https://tex.z-dn.net/?f=%5Cfrac%7B144%7D%7B4%7D%20%3D%20x)
=
![36=x](https://tex.z-dn.net/?f=36%3Dx)
This is our answer! Hope this helps! :3
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × ![\frac{60}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B360%7D)
= 2π × 10 ×
=
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × ![\frac{60}{360}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B360%7D)
= π × 10² ×
=
=
cm² → D
Answer:
(X+6)x(X-3)
Step-by-step explanation:
X^2+6X-3X-18
Xx(X+6)-3(X+6)
(X+6)x(X-3)
big X is the variable
small x is multiplication sign
Answer:
14/3 as an improper fraction
Step-by-step explanation: