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the area of a sector created by a 240 degrees angle is 10 pi inches squared. what is the area of the entire circle? express your answer in terms of pi.

recall that startfraction area of sector over area of circle endfraction = startfraction n degrees over 360 degrees endfraction.
10 pi inches squared
15 pi inches squared
30 pi inches squared
60 pi inches squared

Using the given equation:

10PI/X = 240/360

Cross multiply:

(10PI*360) = (240*X)

3600PI = 240X

Divide both sides by 240:

X = 3600PI / 240

X = 15PI in^2

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

the probability that a bird is green (.30) is true

step-by-step explanation: