First take 10,000 * 2 = 20,000, because each of the 10,000 tickets cost 2 dollars.
3000(1/20000) + 1000(3/20000) + 500(5/20000) + 100(20/10000) = 10500/20000 = .525
Thus, each ticket is worth 52.5 cents.
Hope it helps <3
24 feet
Set up a ratio of object height to shadow length.
So x/32=6/8
8(4)=32 so 6(4) would be 24.
Volume is a three-dimensional scalar quantity. The volume of the water that Marry should pour into the vase is 241.28 cubic inches.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the radius of the flower vase is 4 inches, while the height of the vase is 6 inches, therefore, the total volume of the vase is,
Volume = πR²×H = π× 4²×6 = 301.6 in³
Since the volume of the vase is 301.6 in³, but the store has told her to fill the vase 4/5 of its capacity, therefore, the volume of water Marry should pour is,
Volume of water = (4/5) × 301.6 in³ = 241.28 cubic inches
Hence, the volume of the water that Marry should pour into the vase is 241.28 cubic inches.
Learn more about Volume:
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Answer:
x = 78º
y = 35º
Step-by-step explanation:
These are isosceles triangles
two angles are congruent
-----------------------------
x + 51 + 51 = 180
x = 180 - 102
x = 78º
y + y + 110 = 180
2y = 70
y = 35º
