The y-intercept is -2 and the slope is 2/3
Answer:
The fraction of horses that are Morgan's=17/20
Step-by-step explanation:
Step 1: Determine fraction for each breed
Arabians=1/4
Thoroughbreds=2/5
Morgan's=unknown
Step 2: Express each breed as a fraction of the total
Number of Arabians=fraction of Arabians×total number of horses
Let total number of horses be x
Arabians=(1/4)×x=1/4 x
Thoroughbreds=(2/5)×x=2/5 x
Morgans's=m
Step 3: Calculate fraction of Morgans
Total number of horses=Arabians+Thoroughbreds+Morgans
x=(1/4)x+(2/5)x+m
solve for m;
m=x-(1/4)x-(2/5)x
m=x-3/20x
m=17/20 x
The fraction of horses that are Morgan's=17/20
Radius = 5 miles
Sector Area = (central angle / 360) * PI * radius^2
5 = (central angle / 360) * PI * 5^2
(central angle / 360) = 5 / (PI * 5*5)
(central angle / 360) = 1 / (PI * 5)
central angle = 360 / (PI * 5)
central angle = 72 / PI
central angle =
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22.9183118052
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degrees
Source:
http://www.1728.org/radians.htm
It would be...
(18 +28) divided by two
then take that and multiply it by the height - 5
the 6 in this equation doesn't matter because it is not the height of the shape
