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vazorg [7]
4 years ago
9

The blanks and examples for these properties

Mathematics
1 answer:
Diano4ka-milaya [45]4 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 frustum is made by removing a small cone from a similar large cone in the diagram shown the height of a small cone is a quarte
lesantik [10]

Answer:

Volume of the frustum = ⅓πh(4R² - r²)

Step-by-step explanation:

We are to determine the volume of the frustum.

Find attached the diagram obtained from the given information.

Let height of small cone = h

height of the large cone = H

The height of a small cone is a quarter of the height of the large cone:

h = ¼×H

H = 4h

Volume of the frustum = volume of the large cone - volume of small cone

volume of the large cone = ⅓πR²H

= ⅓πR²(4h) = 4/3 ×π×R²h

volume of small cone = ⅓πr²h

Volume of the frustum = 4/3 ×π×R²h -  ⅓πr²h

Volume of the frustum = ⅓(4π×R²h - πr²h)

Volume of the frustum = ⅓πh(4R² - r²)

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