If there are 12 people sitting at a round table , how many different pairs of people can have conversations during dinner, assuming the can all talk to each other? What geometric figure can you use t model this situation?
Answers
Answer:
Step-by-step explanation:
Given that there are 12 people sitting around at a table.
We see that any two persons can have conversations. If we count A with B as one conversation this is the same as B with A
i.e. order does not matter
So here we have to use combinations.
2 people out of 12 where order does not matter can be done in 12C2 ways
No of conversations =
If we use a dodedecon as a geometrical figure with 12 vertices representing 12 persons the conversation between pairs can be associated with all diagonals and sides connecting two vertices.
Sides are 12 and diagonals are 54 totalling 66.
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Change the following percents to fractions and reduce
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
Answers
Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.
Final answer:
To construct Angle JOB, a copy of Angle A, follow these steps: 1. Create an arc that intersects both rays of Angle A. 2. Set your compass point on the intersection of the arc and ray, and the pencil on the other intersection of the arc and second ray. Lock your compass. 3. Create an arc from point O that intersects OB, and label the point of intersection as point J. 4. Draw a ray OB. 5. Place the point of the compass on the intersection of the arc on OB and mark an arc through the large arc created in a previous step. 6. Finally, construct oj.
Explanation:
- Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
- On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
- Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc. Label the point of intersection of the two arcs point J.
- Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
- Place the point of the compass at the intersection of the arc on OB. Mark an arc through the large arc created in the previous step.
- Construct oj
Learn more about Geometry Construction here:
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8-(4c-5)=11
Answers
8+−1(4c−5)=11
8+−1(4c)+(−1)(−5)=11
8+−4c+5=11
(−4c)+(8+5)=11
−4c+13=11
−4c+13−13=11−13
−4c=−2
−4c divided by−4 = −2 divided by −4
c=1/2
Answers
Let: x = the unknown number
(X/5) + 2 = 6
Additionally, solving for the value of x, since X/5 is one term, it is necessary to isolate that. We can do this by subtracting 2 from both sides of the equation such that:
(X/5) + 2 - 2 = 6 - 2
(X/5) = 4
Multiplying both sides by 5
(X/5) * 5 = 4 * 5
X = 20
Therefore your unknown number is 20
Answers
(2•l)+8=38.
Subtract 8 from both sides which leaves (2•l)=30.
Divide by 2 from both sides and that leaves 15.
Answers
2. Y = -2
3. Y= x + 2
4. Y = 2/3x -1
Answer:
1. Y = -3x
2. Y = -2
3. Y= x + 2
4. Y = 2/3x -1
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B.Lana invested funds for a longer time period.
C.Lana’s account had a higher interest rate.
D.Lana’s account earned compound interest; Ron’s account earned simple interest.