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lawyer [7]
3 years ago
5

Two glass containers are shown. Both are right rectangular prisms. Container 1 is filled with water and Container 2 is empty.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
6 0

9514 1404 393

Answer:

  18 in

Step-by-step explanation:

The volume of each container is the product of its dimensions:

  V = LWH

We can let h represent the unknown height of Container 2. The volumes are equal when ...

  32·18·12 = 24·16·h

  (32·12·18)/(16·24) = h =18 . . . . . divide by the coefficient of h, simplify

The missing height of Container 2 is 18 inches.

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An airplane cruises 1 kilometer in 1 12 of a minute. What is its cruising speed?
Aleonysh [2.5K]

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3 years ago
Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decre
Anarel [89]
<h3>Answer:   y^4 - 2y^3 + 7y^2 + y - 5</h3>

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).

5 0
2 years ago
1. Two angle measures of a triangle are given. What is the third angle measure? A. 57 68 B. 90 40 C. 29", 71
seropon [69]
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3 years ago
Communicate mathematical ideas why might you want to use the commutative property to change the order of the integers in the fol
Kruka [31]

I might want to use the commutative property to change the order of the integers in the following sum before adding the given expression

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As commutative property states that " Changing the order of addends does not change the sum" which means if we add 'a' to 'b' or 'b' to 'a', we will get the same answer.

Therefore, here if we add '-80' to '-173' or '-173' to '-80' , or if we add '-173' to '-20' or '-20' to '-173' , we will get the same answer.

Therefore, we might use commutative property to change the order the of integers in the following sum.

7 0
2 years ago
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