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pshichka [43]
2 years ago
9

Can somebody classify this figure

Mathematics
1 answer:
Gwar [14]2 years ago
6 0
The figure is a trapezoid
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What is an algebraic expression for 58 less than a number n?
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n-58

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A town council wants to estimate the proportion of residents who are in favor of a proposal to upgrade the computers in the town
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Trying to help out, I think it's appropriate

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A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
2 years ago
In the library at Lenape Elementary School, there are
ValentinkaMS [17]

<em><u>Question:</u></em>

In the library at Lenape Elementary School, there are 3/8  as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

<em><u>Answer:</u></em>

There are 12 fiction books in library

<em><u>Solution:</u></em>

Let "x" be the number of non fiction books

Then given that,

There are 3/8  as many fiction books as there are nonfiction books

Fiction\ books = \frac{3}{8}x

There are 44 books in the school library

Therefore,

Non fiction books + fiction books = 44

x + \frac{3x}{8} = 44\\\\\8x + 3x = 44 \times 8\\\\11x = 44 \times 8\\\\x = 4 \times 8\\\\x = 32

How many books are fiction books?

Fiction\ books = \frac{3}{8}x = \frac{3 \times 32 }{8} = 12

Thus there are 12 fiction books in library

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2 years ago
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