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KonstantinChe [14]
3 years ago
9

cavalieri's principle states that two solids with equal height and base areas but different cross-sectional areas have equal vol

umes

Mathematics
2 answers:
Ad libitum [116K]3 years ago
5 0

Answer:

Option B False

Step-by-step explanation:

we know that

The <u>Cavalieri's principle</u> states that if two or more figures have the same cross-sectional area at every level and the same height, then the figures have the same volume

therefore

The cross-sectional area at every level must be the same

so

The statement is False

Anni [7]3 years ago
5 0

Answer:

falseee

Step-by-step explanation:

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Answer:5.28344 gallons

Step-by-step explanation: idk i just looked it up lol.

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Estimate the solution to the system of equations 7x−y=7 x+2y=6 ​i need help
Yanka [14]

Answer:

(4/3, 7/3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations of using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

7x - y = 7

x + 2y = 6

<u>Step 2: Rewrite Systems</u>

Equation: x + 2y = 6

  1. [Subtraction Property of Equality] Subtract 2y on both sides:                    x = 6 - 2y

<u>Step 3: Redefine Systems</u>

7x - y = 7

x = 6 - 2y

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                7(6 - 2y) - y = 7
  2. Distribute 7:                                                                                                    42 - 14y - y = 7
  3. Combine like terms:                                                                                       42 - 15y = 7
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    -15y = -35
  5. [Division Property of Equality] Divide -15 on both sides:                             y = 7/3

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x + 2y = 6
  2. Substitute in <em>y</em>:                                                                                                x + 2(7/3) = 6
  3. Multiply:                                                                                                           x + 14/3 = 6
  4. [Subtraction Property of Equality] Subtract 14/3 on both sides:                  x = 4/3
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Letter B. Have a nice day
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the lenght of a rectangle is 2 cm less than 7 times the width. the perimeter is 60 cm . find the width and lenght
vampirchik [111]
First, you want to establish your equations.

L=7W-2
P=60

This is what we already know. To find the width, we have to plug in what we know into P=2(L+W), our equation to find perimeter.

60=2(7W-2+W)

Now that we only have 1 variable, we can solve.

First, distribute the 2.
60=14W-4+2W

Next, combine like terms.

60=16W-4

Then, add four to both sides.

64=16W

Lastly, divide both sides by 16


W=4

To find the length, we plug in our width.

7W-2

7(4)-2

28-2

L=26
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Answe70

Step-by-step explanation:

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