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Mekhanik [1.2K]
3 years ago
12

the cafeteria has 45 square  tables that can be pushed together to form one long table for the lacrosse team's banquet. Each squ

are table can seat one person on each side. How many people can be seated at the banquet table?
Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0
Well, now the tables in the middle could hold 2 people each, while the ones at the ends 3 each. You have 92 people in total.
poizon [28]3 years ago
3 0
Since each table is 1 person so
45(1) =45 but since there are 2 more chairs at the side, it can sit up to 47
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Dominik [7]

Step-by-step answer:

This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.

To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.

This is:

sum of exterior angles of polygons = 360 degrees.

If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360!  It works!

For a regular heptagon, c = 360/7=51.43 degrees approx.

This means that each vertex angle measures

vertex angle = 180-c

So since 2d+the vertex angle = 360, we have

2d+(180-c)=360

solve for d:

2d=360-(180-c)=180+c

d=(180+c)/2=90+c/2=115.71 degrees. (approx.)

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Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
Luba_88 [7]

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It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

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6 0
2 years ago
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If the two lines below are perpendicular and the slope ofthe red line is -, what is the slope of the green line?51015-5-5-105
inysia [295]

If two lines are perpendicular, then the product of their slopes is -1:

m_r\cdot m_g=-1...(1)

From the problem, we identify:

m_r=-\frac{4}{3}\text{  \lparen the slope of the red line\rparen}

Then, using the equation (1), we calculate the slope of the green line:

\begin{gathered} -\frac{4}{3}\cdot m_g=-1 \\  \\ \therefore m_g=\frac{3}{4} \end{gathered}

Answer: Option D

4 0
1 year ago
3 semicircles are connected to 3 sides of a square. each side of the square measures 4 centimeters. what is the area of the comp
puteri [66]

The area of the composite figure  with 3 semicircles connected to 3 sides of a square is (6π+16)cm^{2}.

<h3 /><h3>What is a semicircle?</h3>

A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.

Analysis:

Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.

Radius of semicircle = 4/2 = 2cm

Area of a semicircle = πr^{2}/2 = \pi(2)^{2}/2 = 2πcm^{2}

For three semicircles = 3 x 2πcm^{2} = 6πcm^{2}

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Area of composite figure  = Area of 3 semicircles + area of square

Area of composite figure = (16 + 6π)cm^{2}

In conclusion, the area of the composite figure is  (16 + 6π)cm^{2}.

Learn more about  area of plane shapes: brainly.com/question/20475473

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