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QveST [7]
3 years ago
11

The 38,483 employees at a manufacturing company must attend a meeting about finances. The meeting room holds 315 people. How man

y meetings does the manufacturing company need to schedule?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0
123 meetings. 38,483 divided by 315 equals 122.168254. To have everyone meet, you need 123 meetings.
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Answer:  The correct option is

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Step-by-step explanation:  We are given to find the number of  triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.

Therefore, the total number of triangles and quadrilaterals is

n=n_t+n_q=35+35=70.

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