asst 21

course PHY 121

????????O??assignment #003Submitting Assignment

assignment #021

021. `query 21

Liberal Arts Mathematics II

04-19-2008

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20:28:23

**** query 9.2.6 sq must be rhombus **** Is the statement true or false and why?

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RESPONSE -->

True because a square and a rhombus have to have equal length

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20:30:24

** This statement is true.

A parallelogram is a quadrilateral with two pairs of parallel sides and a rhombus is a parallelogram with all sides having equal length. All sides of a square have equal length. If a square were not a rhombus then all sides would not be of equal length.

It is not true that a rhombus must be a square. The angles of a rhombus do not have to be right angles, while the angles of a square do. **

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RESPONSE -->

I put that is was true because of lenght.

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20:33:43

**** query 9.2.10 parallelogram must be rect and rect must be parallelogram **** Is the statement true or false and why?

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RESPONSE -->

False A parallelogram does not have to be a rectangle but a rect is a parallelogram

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20:34:09

** A rectangle is a parallelogram but a parallelogram is not necessarily a rectangle, so the statement is false. **

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RESPONSE -->

I payed closer attention to this question.

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20:38:49

**** query 9.2.18 rb with 4 loops **** Is the curve simple, closed, both or neither?

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RESPONSE -->

Not simple and closed

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20:39:14

This is only a closed curve because its starting point and ending point are the same and it can be drawn without lifting the pencil from the paper. It is not simple because some points are passed through twice.

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RESPONSE -->

That is what I got

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20:42:35

**** query 9.2.24 ellipse **** Is the region inside the curve convex or not, and why?

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RESPONSE -->

Convex because you can go from point A to point B completely inside of the figure

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20:42:49

The region inside is convex because the line segment connecting any two points is completely inside the figure.

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RESPONSE -->

That is what I got too.

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20:48:30

**** query 9.2.48 A 30 deg more than B which equals C **** What are the measures of the three angles?

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RESPONSE -->

B and C - x

A - x+ 30

2x + (x+30) = 180

3x + 30 = 180

3x = 150

x = 50

A = 80

B = 50

C = 50

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20:49:21

Angle A + Angle B + Angle C = 180 deg. If x is the degree measure of B then angle A has measure x + 30 degrees and angle C has measure x degrees. So we have

x + x +30 + x = 180

3x + 30 = 180

3x = 150

x = 50

Angle B and Angle C are both equal to x, i.e., to 50 deg.

Angle A = 50 deg + 30 deg = 80 deg

To check, 80 + 50 + 50 = 180.

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RESPONSE -->

That is how I figured it but I did 2x instead of x + x.

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20:50:43

Student Response: The definition for the angle sum of a triangle says the sum of the measures of the angles of any triangle is 180 deg.

I used x to represent angles B and C and x + 30 to represent angle A since it is 30 deg higher than the other two. All this equaled 180 deg. I solved for x to get the degree measure of angles B and C and then added 30 on to x to get the degree measure for angle A.

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RESPONSE -->

I'm sorry I hit the space bar before I answered the question. I worked it by solving x.

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20:50:53

**** Query Add comments on any surprises or insights you experienced as a result of this assignment.

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20:50:56

There were no really big surprises.

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RESPONSE -->

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Very good work. Let me know if you have questions. &#