What is 15persent of 2.15

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

Kruka [31]

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.

8 0

3 years ago

What is the answer and how do you solve 21x^3/3x^−1

Sunny_sXe [5.5K]

Answer:

as written: 7x^2

perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

$\dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2$

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

21x^3/(3x^-1)

then the simplification is ...

$\dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4$

_____

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b/a^c = a^(b-c)

6 0

3 years ago

15) My bag contains two books each of weight kg and 3/7 folders each of weight

8_murik_8 [283]

Answer:

Step-by-step explanation:

221

3 0

3 years ago

Read 2 more answers

Please help asap!! Thank you

djyliett [7]

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

60° + 2x° + (2x+12)° = 180° { being a linear pair}.

or, 72° + 4x = 180°

4x = 180° - 70°

$x = \frac{108}{4}$

Therefore, the value of x is 27°.

Now,

2x° = (2×27)°= 54°

(2x+12)° = 2×27°+12°= 66°.

(x+2)= 27+ 2= 29°

Now, The left angle is 27°.

Therefore, The answer is option A.

Hope it helps...

6 0

3 years ago

The table below shows the number of cameras made when an assembly line runs at a constant rate for a certain number of hours. Nu

jeka57 [31]

Computing the rate we get:

$\frac{300}{10}\frac{cameras}{\text{hour}}=30\frac{cameras}{\text{hour}}$

Then, when the assembly line runs at the same rate for 24 hours they will produce:

$24\text{hour}\cdot30\frac{cameras}{\text{hour}}=720\text{ cameras}$

Answer: Option C) 720.

7 0

1 year ago