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Svetllana [295]
3 years ago
9

A club with 19 members is to choose three officers president vice president and security secretary treasurer. If each office is

to be held by one person and no person can hold more than one office in how many ways can those offices be filled
Mathematics
1 answer:
horrorfan [7]3 years ago
4 0
<span>President has 19 options Vice President has 18 options (19 - 1 president) Secretary has 17 options (19 - president and vice president) 19*18*17 = 5,814 different combinations are possible for the office positions</span>
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Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto
Genrish500 [490]

The similarities are;

  • Compass and a straight edge required for both construction
  • Both construction includes a line drawn from the intersection of arcs to bisect a segment or an angle
  • The bases for the construction of both bisector are the ends of segment and the angle to be bisected
  • The width of the compass when drawing intersecting arcs, is more than half the width of the segment or angle being bisected

The differences are;

  • Two points of intersection of arcs are used in the segment bisector while only one is requited in an angle bisector
  • The bisecting line crosses the segment in a segment bisector, while it stops at the vertex of the angle being bisected in an angle bisector

The sources of the above equations are as follows;

The steps to construct a segment bisector are;

  • Place the needle of the compass at one of the ends of the line segment to be bisected
  • Widen the compass so as to extend more than half of the length of the segment to be bisected
  • Draw two arcs, one above, and the other below the line
  • Place the compass needle at the other end and with the same compass width draw arcs that intersects with the arcs drawn in the above step
  • Draw a line segment by placing the ruler on the points of intersection of the arcs above and below the line

The steps to construct an angle bisector are;

  • With the compass needle at the vertex, open the pencil end such that arcs can be drawn on the rays (lines) forming the angle
  • Draw an arc on both lines forming the angle
  • Place the compass needle at one of the intersection points and draw an arc in between the lines forming the angle
  • Repeat the above step with the same compass width from the other intersection point with the rays forming the angle
  • Join the point of intersection of the two arcs to the vertex of the angle to bisect the angle

Therefore, we have;

The similarities are;

  • A compass and a straight edge can be used for both construction
  • A straight line is drawn from the point of intersection of arcs to bisect the segment or the angle
  • The arcs are drawn from the ends of the segment or angle to be bisected
  • The width of the compass is more than half the width of the line or angle when drawing the arcs

The differences are;

  • In a segment bisector, the intersection point is above and below the line, while in an angle bisector only one pair of arcs are drawn to intersect above the line
  • The bisecting line passes through the segment being bisected, while the line stops at the vertex in an angle bisector

Learn more about the construction of segment and angle bisectors here;

brainly.com/question/17335869

brainly.com/question/12028523

7 0
2 years ago
A bathtub is being filled with water. After 10 minutes, there are
Ber [7]

Answer:

Everyone in the kingdom of Egypt was under the control of the pharaoh and it was believed that the pharaoh must obey the wishes of the ________.

Priests

Citizens

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Gods

Step-by-step explanation:

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3 years ago
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The teacher concluded that there is a correlation between having a computer and having a phone. Do you agree with the teacher? E
timama [110]

Answer:

yes I agree with teacher

Step-by-step explanation:

I I think this because 1 people that have a phone and a computer are the highest group and two becauseit seems that most of the class has a phone it also seems that most of the class has a computer

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A boat traveled 27 miles in 2 hrs. At this rate, How many miles will the boat travele in 1/2 hrs
Mashcka [7]

Answer:

In explanation down below.

Step-by-step explanation:

So if the boat was able to travel 27 miles in 2 hours that means that it traveled 13.5 miles an hour. I think that you want to know how many miles the boat will travel in 1/2 an hour. Which is 6.75.  

1 hour: 13.5 miles

1/2 hour the boat has traveled 6.75 miles.

I hope this helps!!!

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The formula for the volume of a sphere is 4 ⁄ 3 πr^3
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Answer:

the volume of a sphere = 4 ⁄ 3 πr^3

when r=2inches

Step-by-step explanation:

the volume of a sphere = 4 ⁄ 3 π×2³=32/3π or 33.5 inches³

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3 years ago
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