Answer:
There are as many odd numbers as there are natural numbers.
Step-by-step explanation:
Using the volume for rectangular prisms, the volume of the chimney is: 216 in.³.
<h3>What is the Volume of a Rectangular Prism?</h3>
The volume of a rectangular prism = (length)(width)(height).
<h3>How to Find the Volume of Composite Shapes?</h3>
The Chimney in Emily's house is a composite solid consisting of two rectangular prism. To find the volume, we have to decompose the figure into two rectangular prisms. Then solve for the volume of each before finding the total volume.
Volume of the bigger rectangular prism = (length)(width)(height) = (4)(4)(12)
Volume of the bigger rectangular prism = 192 in.³
Volume of the smaller rectangular prism = (length)(width)(height) = (4)(2)(3)
Volume of the smaller rectangular prism = 24 in.³
The volume of the chimney = volume of the two rectangular prism
The volume of the chimney = 192 + 24
The volume of the chimney = 216 in.³
Learn more about the volume of rectangular prism on:
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Answer:
V of cylinder = V=πr^2h
V of rectangular prism = l*w*h
V of cylinder = 16 * 3.14 * 8
= <em><u>401.92</u></em>
V of rectangular prism = 14 * 8 * 12
= <em><u>1344</u></em>
<em><u>Add = 401.92 + 1344</u></em>
<em><u> = 1,745.92</u></em>
<h2><em><u>
1,745.92 is the answer.</u></em></h2><h2><em><u>
Rounded the answer is C</u></em></h2>
Step-by-step explanation:
For a triangle, any 2 side lengths of the triangle must be greatee than the 3rd side.
Given a triangle with side lengths 11, 23 and x,
we have:
- 11 + 23 > x,
- 11 + x > 23, and
- 23 + x > 11.
Therefore 34 > x and x > 12. => 12 < x < 34.
A quick way to do this is by recalling the fact that
, so the largest value that
alone (for any real value of
) can take on is 1.
This means
, and so
.
So the maximum value of this function is 7.
