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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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Evaluate the following.<br> (iii) sin 30° + tan 40° - cosec 60° / cot 45° + cos 60° - sec 30°​
bearhunter [10]

Sin 30 = 1/2

tan 45 = 1

Cosec 60 = 2 / √3 = 2√3 / 3

cot 45 = 1

Cos 60 = 1/2

sec 30 = 2 / √3 = 2√3 / 3

_______________________________

[ 1/2 + 1 - 2√3/3 ] ÷ [ 1 + 1/2 - 2√3/3 ] = <em>1</em>

The face and denominator of the fraction are exactly the same thus the answer is 1 .

4 0
3 years ago
James was saving his money to buy a new bicycle. The bicycle originally costs $150 but then the store owner marked up its price
Volgvan

Answer:

$180

Step-by-step explanation:

To find the new cost, multiply the original cost by 1.2

150(1.2)

= 180

So, the new cost of the bicycle is $180

5 0
3 years ago
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What is another way to write this number? 300+70+ 5/10+8/100
Mademuasel [1]
Hi,
It would be 370.58
4 0
3 years ago
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7 times something equals 94
Mariulka [41]
7 × __ = 94

Divide by 7 on both side.

__ = 94 ÷ 7

Answer = 13 3/7
8 0
3 years ago
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What is ?5/8 times ?.2 and equals ?8
aliya0001 [1]
First you put a 1 under the 2.Then you multiply 85*2 and you get 170.Next you multiply 8.2*1 and you get 8.2.Finally, you divide 170 by 8.2 and get 20.73.

So, your answer to 85/8 times 8.2 = 20.73.

Hope that helped.
7 0
4 years ago
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