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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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3x - 4y - 1=0
olchik [2.2K]

Answer:

  solvable

Step-by-step explanation:

The coefficients of x and y have different ratios, so the equations are solvable.

__

The solution is (x, y) = (7/15, 1/10).

3 0
3 years ago
I am leaning pre-cal right now and I don't understand it. I did arctan (3/-5) but got it wrong, how do you do this?
Gemiola [76]

9514 1404 393

Answer:

  149.04°

Step-by-step explanation:

You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.

When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)

You find the 2nd-quadrant angle by adding 180° to this value:

  -30.96° +180° = 149.04° = arg(-5+3i)

__

The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.

7 0
3 years ago
Asha and Lucy are selling pencils in a school shop.
Akimi4 [234]

Step-by-step explanation:

7x+22=2(5x+2)

7x+22=10x+4 (-7x)

3x+4=22 (-4)

3X=18 (divide by 3)

X=6 pencils

check if the number is correct

asha= 7*6=42 42+22 is 64

Lucy= 5*6=30 30+2 is 3264/32 is 2

asha= 7*6=42 42+22 is 64Lucy= 5*6=30 30+2 is 3264/32 is 2there fore asha sells twice as many as Lucy

8 0
3 years ago
What is the ratio from 18 to 16
Irina18 [472]

Answer: 8:9

Step-by-step explanation: Two find this answer, you need to see what will be the greatest number they can divide by (greatest common divider), it needs to be the same number for both 18 and 16. What number can go into both numbers, and is the greatest number? The answer is two, now you divide 2 by 18 and 16, so you'll get 8:9.

Hope this helps have a BLESSED and wonderful day! :-)

-Cutiepatutie

4 0
3 years ago
Which item is NOT a savings instrument?
quester [9]

Answer with explanation:

A: Treasury Bond: In treasury bond  interest is paid till that duration until the bond completely matures. When the period of bond gets over, Actual amount or Par Amount is Returned.

⇒A Saving Instrument.

B. C D

Compact Disc. A type of device that can store data, that is Nanotechnology is used to store more than 500 MB of data.

C: Saving Account

 In saving Account, you can deposit and withdraw money at any time ,any day, with the evolution of new technology.

D: Checking Account

Same with the checking account,you can withdraw and deposit money any time on a day.

→Option A, C and D are , types of account , related with currency that is money, but option B, is term related to data.

Option B: →C D is not a Saving Instrument.

6 0
3 years ago
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