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natka813 [3]
2 years ago
8

A right cylinder and an oblique cylinder have the same radius and the same height. How do the volumes of the two

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0

Answer:

  A.  The volumes are the same, based on Cavalieri's principle.

Step-by-step explanation:

Cavalieri's principle tells us the volumes of solids will be identical if their cross sectional areas are identical at every height.

<h3>Application</h3>

A right cylinder and an oblique cylinder of the same height and radius will both have circular cross sections of the given radius at any height. Since the radius is the same, the area of the circle is the same. Hence the requirements of Cavalieri's principle are met, and the cylinders have the same volume.

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DerKrebs [107]

The equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Given a  quadratic function for the transformations given  the function f(x) = x²

If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value

  • Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)

Hence the equation g(x) in vertex form of a  quadratic function for the transformations  whose graph is a  translation 4 units left and 1 unit up of the  graph of f(x) is (x-4)² + 1

Learn more here: brainly.com/question/15381183

8 0
2 years ago
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and t
MrRissso [65]

Answer:

$290

Step-by-step explanation:

We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.

Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.

Thus;

P(x) for expensive sofa = 1/5

P(x) for sofa in sale advertisement = 4/5

Thus, expected value is;

E(X) = (1/5)450 + (4/5)250

E(x) = 90 + 200

E(x) = $290

6 0
2 years ago
How do you multiply 22.100 times 4.50
nirvana33 [79]

Answer:

Step-by-step explanation:

99.45 should be your answer

If you want me to show work let me know

6 0
2 years ago
Find the slope of a line perpendicular to <br><br> Y= -x -1
ad-work [718]
<h2>Greetings!</h2>

Answer:

The slope is 1.

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -x, or -1x, the slope of this line is -1

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-1}

The minuses cancel out, leaving with 1 over 1 or 1/

So the slope of the line perpendicular is 1!


<h2>Hope this helps!</h2>
8 0
3 years ago
Find the value of x. Round the length to the nearest tenth.
elena-s [515]

Answer:

The answer is. 5 cause 40÷8=5

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