Step-by-step explanation:
the slope of the line between the first 2 points must be the same as the slope between the second and the third point.
the slope is y difference / x difference.
so,
b/a = d/c
-3/1.6 = d/1.5
d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125
Draw some lines and we get some special 30-60-90 triangless
se diagram
so using my math
remember that if the hyptonuse is 2x then angle oposite the 30 degree is x and angle oposit the 60 degree is x√3
so
we have a kite and know the lengths of he diagonals
we do
(9+3) times (3√3) to find the area total which is 36√3
then, we find teh area of the sector not shaded
the area of the sector is (120/360) times the area which is pi6^2
so
1/3 times 36pi or 12pi
so
36√3-12pi≈24.6547 square units
Answer:
84.8 in³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
The volume Mary will be filling will be 3/4 of the 9-inch height of the vase, so is ...
V = π(2 in)²(3/4·9 in) = 27π in³ ≈ 84.8 in³
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<em>Comment on the answer</em>
In more conventional units of measure, that is very nearly 3 pints of water.