Mathematics : asked on charizma
 29.07.2022

-The concrete sections of a highway are designed to be 25 m long. Sections are prepared at 10°C. What is the minimum space that must be left between such sections, to avoid sagging, knowing that the asphalt reaches 50ºC? Data: α=12 10-6 ºC-1
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09.07.2023, solved by verified expert
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Let d = distance between two plates, L = length of a plate, and assuming that the coefficient provided is that of linear expansion, the elongation of a section is ∆L = Lα (T₂ - T₁) = 0, 012 m . Assuming that the elongation is shared equally to both sides of each section, when two sections are in contact, it is fulfilled

-The concrete sections of a highway are designed, №18011263, 29.07.2022 11:58

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Mathematics
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P Answered by Specialist

Let d = distance between two plates, L = length of a plate, and assuming that the coefficient provided is that of linear expansion, the elongation of a section is ∆L = Lα (T₂ - T₁) = 0, 012 m . Assuming that the elongation is shared equally to both sides of each section, when two sections are in contact, it is fulfilled

\pmb{\dfrac{d}{2}=\dfrac{\Delta L}{2 }\Rightarrow d=\Delta L=0,012 m= 1,2 cm} \\\\\\\boxed{\pmb{d=1,2 \ cm}}

Mathematics
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P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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