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scoray [572]
3 years ago
12

The measured dimensions of a rectangle are 7m by 4m to the nearest whole unit. Find the minimum and maximum possible areas of th

e rectangle
Mathematics
1 answer:
Monica [59]3 years ago
3 0

Answer:

Maximum area = Minimum area = 28 m².

Step-by-step explanation:

The length and the width of the rectangle are measured to be 7 m and 4 m respectively to the nearest whole number.

We have to find the maximum and minimum possible areas of the rectangle.

The maximum or minimum area is calculated only when length or width or both can vary and then only for a certain value of length and width the area becomes maximum or minimum.  

So, the maximum and minimum area of the rectangle will be the same i.e. (7 × 4) = 28 m². (Answer)

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A closed cylindrical vessel contains a fluid at a 5MPa pressure. The cylinder, which has an outside diameter of 2500mm and a wal
Julli [10]

Answer:

1) Increase in the diameter equals 3.5 mm

2) Increase in the length equals 0.0003724L_{i} where L_{i} is the initial length of the vessel.

Step-by-step explanation:

The diametric strain in the vessel is given by

\epsilon_{D} =\epsilon_{diam}-\nu \epsilon _{axial}

We have

\epsilon _{diam}=\frac{\sigma _{hoop}}{E}\\\\\sigma _{hoop}=\frac{\Delta P\times D}{2t}\\\\\therefore \epsilon _{diam}=\frac{\Delta P\times D}{2t\times E}

Applying values we get

\therefore \epsilon _{diam}=\frac{5\times 10^{6}\times 2.5}{2\times 20\times 10^{-3}\times 193\times 10^{9}}\\\\\therefore \epsilon _{diam}=\frac{5}{3088}

Similarly axial strain is given by

\epsilon _{diam}=\frac{\sigma _{axial}}{E}

\sigma _{axial}=\frac{\Delta P\times D}{4t}\\\\\therefore \epsilon _{axial}=\frac{\Delta P\times D}{4t\times E}

Applying values we get

\therefore \epsilon _{axial}=\frac{5\times 10^{6}\times 2.5}{4\times 20\times 10^{-3}\times 193\times 10^{9}}\\\\\therefore \epsilon _{diam}=\frac{2.5}{3088}

Hence The effect of axial strain along the diameter is given by

-\nu \epsilon _{axial}

Applying values we get

-\nu \epsilon _{axial}=-0.27\times \frac{2.5}{3088}=-0.0002185

hence

\epsilon _{D} =\frac{5}{3088}-0.0002185\\\\\epsilon =0.00140

Now by definition of strain we have

\epsilon _{D} =\frac{D_{f}-D_{i}}{D_{i}}\\\\\therefore D_{f}=D_{i}+\epsilon D_{i}\\\\D_{f}=2.5+0.0014\times 2.5\\\\\therefore D_{f}=2503.5mm

Increase in the diameter is thus 3.5 mm

Using the same procedure for axial strain we have

\epsilon_{axial} =\epsilon_{axial}-\nu \epsilon _{diam}

Applying values we get

\epsilon_{axial} =\frac{2.5}{3088}-0.27\times \frac{5}{3088}

\epsilon_{axial} =0.0003724

Now by definition of strain we have

\epsilon _{axial} =\frac{L_{f}-L_{i}}{L_{i}}\\\\\therefore \Delta L=0.0003724L_{i}

where L_{i} is the initial length of the cylinder.

6 0
4 years ago
What are the steps to construct parallel lines using a compass and straightedge.
kari74 [83]

The first thing you do is draw a straight line. It can be any length. Then draw a point above the line. Place the stylus of the compass on the point, and swing the compass down to make two marks on the line. Then, draw marks below the line, by placing the stylus on the points of intersection. Draw a line from where these two meet to the original point.Mark two points on the 2nd line by placing the compass stylus on the original dot, and swinging it down and up. Then, swing the compass from both of these new points of intersection , on either side of the line, to form 2 new points.Connect these 3 points, and now you have 2 parallel lines! The original line and the most recently made are parallel with each other. Hope this helps!

5 0
3 years ago
0.45 _____ .66 what is the answer
Eddi Din [679]

Answer:

.45<.66

Step-by-step explanation:

If its greater than or less than

7 0
3 years ago
4. Which of the following correctly orders the values ​​below from least to greatest?
OLga [1]

0.75%, 3/4, 0.075. I think this correct.

5 0
3 years ago
Which of the following statements is true?
11111nata11111 [884]

Question

Which of the following statements is true?

Answer:

D. the segment bisects segment EC

Step-by-step explanation:

Bisect Means to cut or divide into two equal or nearly equal parts

And Looking in the Attach We Can See that the triangle is Cut into 2 pieces

Hope this helps!

6 0
3 years ago
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