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Likurg_2 [28]
3 years ago
12

Cavalieri’s principle states that two solids with equal heights and cross sectional volumes at every level have equal areas

Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

False

Step-by-step explanation:

We are given a statement regarding Cavalieri's principle.

The given statement is false.

CavalierIi's principle.

  • Two solids of equal altitude or height, the cross-sections made by planes parallel to the base of the solid are always equal, then the volumes of the two solids are said to be equal.
  • If two solids or 3-D figures are considered between two parallel planes. If the cross sectional area formed by the intersection of the planes and the solid figure are equal, then the two solids have equal volumes.
  • The given equation states the equality of cross sectional area in place of the volume.
  • Thus, the given statement is false.

svetlana [45]3 years ago
5 0

Answer:

False

Step-by-step explanation:

we know that

The <u><em>Cavalieri's principle</em></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.

see the attached figure to better understand the problem

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Answer:

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Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

N(t)=N_0\,e^{-0.0001\,\,t}

If the skull contains 54% of its original amount of C14, then that means that :

N(t)=0.54 \,\,N_0

we use this to solve for the time (t) in our equation:

0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years

which rounded to the nearest year as requested gives :

t = 6162  years

8 0
3 years ago
State which of the following ordered pairs is a function.
tekilochka [14]

Answer:

C. Both Set A and Set B

Step-by-step explanation:

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3 years ago
Y-intercepts and X-intercepts
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Step-by-step explanation:

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4 years ago
A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair. How many total minutes will it t
geniusboy [140]

All you have to do is multiply 18.3 x 5.1

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8 0
3 years ago
Read 2 more answers
A construction worker needs to determine the volume of a sandpille in a construction yard as shown
postnew [5]
Answer:
6580cm
Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
Finally we add up the following shapes Volume which are 6160+420=6580cm
3 0
3 years ago
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