Let r be a radius of a given circle and α be an angle, that corresponds to a sector.
The circle area is

and denote the sector area as

.
Then

(the ratio between area is the same as the ratio between coresponding angles).

.
Answer:
D
Step-by-step explanation:
Try to remember this formula.

Where a is the vertical multiplier, b is the horizontal multiplier, c is the x coordinate of the vertex, and d is the y coordinate of the vertex.
Since the vertex on the graph is (2,3), c and d have to be 2 and 3.
Also, there are no vertical/horizontal stretches so the a and b values stay at 1.
The final equation would come out to 
Answer:
2(x+6)(x-3)
Step-by-step explanation:
Factor the GCF out of the trinomial on the left side of the equation.

Greatest common factor of 2, 6, 18 is 2
so GCF is 2
divide each term when we take out GCF 2
so 
now factor the trinomial
product is -18 and sum is +3
6 times -3 is -18 and 6-3=3

Answer:
C. 24 meters
Step-by-step explanation:
Given:
Total length of fabric required for the costume = 56.6 m
Length of fabric Zhou already has = 15 m
Length of fabric James just purchased = 17.6 m
To find how much more length of fabric is required to make the complete costume.
Solution:
<em>Let the length of fabric in meters still required be</em> = 
<em>The total length can be given as :</em>
⇒ 
⇒ 
The total fabric required = 56.6 m
So, the equation to find
will be:

Subtracting both sides by 32.6

∴ 
Thus,<u> 24 meters</u> of fabric is still required to make the costume.