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vazorg [7]
3 years ago
9

The blanks and examples for these properties

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
4 0

Commutative - ORDER doesn't matter. ex. 5+7 = 7+5

Associative - GROUPING of values doesn't matter. ex. (7 +/* 2) + 4 = 7 +/* (2 + 4)

Identity - Anything added to ZERO is the original number. Anything multiplied by 1 is the original number. ex. 4 + 0 = 4 * 1 = 4

Inverse - Using the OPPOSITE to cancel the terms. ex. a + (-a) = (-a) + a = 0    

a * 1/a = 1/a * a = 1  (if a ≠ 0)

Zero - Multiplying by ZERO, always equals ZERO.  ex. 4 * 0 = 0

Distributive - Distribute a value outside the parenthesis to all values inside the parenthesis. ex B(A+Y) = BA + BY


Hope this helps! :)

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A half-filled cylindrical water tank has a water level of 20 feet high. The tank can hold 6000 cubic feet of water. Find the dia
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Answer:

d = 13.8 feet

Step-by-step explanation:

Because we are talking about cubic feet of water, we need the formula for the VOLUME of a cylinder.  That formula is

V=\pi r^2h

We will use 3.141592654 for pi; if the tank HALF filled with water is at 20 feet, then the height of the tank is 40 feet, so h = 40; and the volume it can hold in total is 6000 cubic feet.  Filling in then gives us:

6000=(3.141592654)(r^2)(40)

Simplify on the right to get

6000=125.6637061r^2

Divide both sides by 125.6637061 to get that

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Taking the square root of both sides gives you

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But the diameter is twice the radius, so multiply that r value by 2 to get that the diameter to the nearest tenth of a foot is 13.8

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8. Determine whether the triangles are similar. If so, write a similarity
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Answer:

Option (4)

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