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Georgia [21]
3 years ago
10

Explain how Cavalieri’s principle can be used to find the volume of any solid.

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

Cavalier's principle can be used to find the volume of any solid.

Step-by-step explanation:

Cavalier's Principle:

  • Cavalier introduced parallel planes and area to describe the relationship between solids.
  • Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
  • Suppose two regions are included between two parallel planes.
  • If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
  • The formula for the volume of a prism is the area of the base times the height.
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Dafna11 [192]

Answer:

22  3/4 hours

Step-by-step explanation:

monday + tuesday + wednesday + thursday + friday

3 1/4 + 4 1/3 + 4 1/3 + 4 1/3 + 6 1/2

the common denominator is 12

3 1/4 *3/3  = 3 3 /12

4 1/3 * 4/4 = 3 4/12

6 1/2 * 6/6 = 6 6/12

3 3 /12 + 4 4/12 + 4 4/12 + 4 4/12 +6 6/12 =

(3+4+4+4+6) + (3 +4+4+4+6)/12

21 +(21/12)  we can simplify 21 /12

21 + 12/12 + 9/12

21 + 1 + 9/12

22 + 9/12  we can simplify 9/12 by dividing top and bottom by 3

22  3/4

8 0
3 years ago
Given that (-3, 5) is on the graph of f(x), find the corresponding point for the function f(x) − 4
inessss [21]
 <span>Let g(x) = f(x) - 4 
g(x) is a translation of f(x) down 4 units so (-3, 1) will be the new point 

 find g(-3) 

g(-3) = f(-3) - 4
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hope this helps</span>
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3 years ago
1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her
Alchen [17]

Answer:

Step-by-step explanation:

Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)

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igor_vitrenko [27]
Ya totally your cool bro
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4 years ago
First try was incorrect
Vanyuwa [196]

Answer:

16

Step-by-step explanation:

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