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oksano4ka [1.4K]
3 years ago
11

Help help help help help help

Mathematics
2 answers:
Alborosie3 years ago
7 0
Area is 8 perimeter is 12
BlackZzzverrR [31]3 years ago
5 0

Answer:

A = 8 km^2

B = 12 km

Step-by-step explanation:

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Time varies inversely with speed if the distance is constant. It takes James 4 hours to get to his destination when he travels a
NikAS [45]

Answer:

Step-by-step explanation:

Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce

t = k/s

Where t = time

k = constant of inverse proportionality

s = speed

It takes James 4 hours to get to his destination when he travels at 65 miles per hour

4 = k/65

k = 65×4 = 260

t = 260/s

If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.

The time it will take him is

t = 260/s

t = 260/80 = 3.25 hours

The amount of time he would save is

4 hours - 3.25 hours = 0.75 hours

Converting 0.75 hours to minutes, we multiply by 60

Amount if time saved in minutes = 0.75×60 = 45 minutes

7 0
3 years ago
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
Joanne and Roger are planting a rectangular garden. The garden is 7 ft by 13 ft. They want to use half of the garden for
Svetlanka [38]

Answer:

45.5 ft^2

Step-by-step explanation:

The area of the garden is (7 ft) by (13 ft), which works out to 91 ft^2.

The half garden used for cucumbers is (91 ft^2)/2, or 45.5 ft^2.

3 0
3 years ago
In the diagram, figure I is a square, and figures II and III are equilateral triangles. What is the value of x?
baherus [9]

Answer:

f

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
For a certain bathtub, the hot water faucet can fill the tub in 13 minutes. The cold water faucet can fill the tub in 12 minutes
marusya05 [52]
The answer to your problem dear friend is 5 min, depending on the tub size
8 0
3 years ago
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