The arc length, radius and the included angle are related as
where
is in radians.
The radius
is given by

Correct choice is (B).
Answer:
One unique triangle
Step-by-step explanation:
The midpoint is
(-4+0) / 2, (7 + (-3))/ 2 The first one is x coordinate and 2nd is the y cood)
= (-2, 2) answer
1)We need to know the amount of yellow tint in the old mixture.
amount of yellow tint=30% of 40 liters
30%=30/100=0.3
Amount of yellow tint=0.3(40 liters)=12 liters.
2)We need to find the amount of yellow tint in the new mixture.
amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.
3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters
4) we compute the percent of yellow tint in the new mixture:
percent of yellow tint =(amount of yellow tint / amount of mixture)*100
percent of yellow tint=(21 liters / 49 liters)100≈42.9%
Answer: The percent of yellow tint in the new mixture is 42.9%.
note: if this answer is not correct you can try it with 42.8%
Answer:
y=1/2x-5
Step-by-step explanation:
We have slope so we just need to find the y intercept.
slope intercept formula is
y=mx+b
(m) is slope
(b) is y int
y=1/2x+b
now apply our given x and y values (4 & -3)
-3=1/2(4)+b
simplify
-3=2+b
subtract 2 from each side
-5=b
put that into our equation
y=1/2x-5