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Alexxandr [17]
4 years ago
14

A cylindrical roller with diameter 77 cm and height 1 m is used to level a rectangular park with dimensions22 × 11 . Find the nu

mber of revolutions required to level the park.
Mathematics
1 answer:
DaniilM [7]4 years ago
7 0

Answer:

100

Step-by-step explanation:

We have the circumference of cyclinder

=πD

=length covered by one single revolution.

So,

  • Length=3.14*77 =242 cm =2.42 m
  • Total area =22*11=242 m^2

=> Total number of revolutions=242/2.42=100

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Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten
Mkey [24]

Answer:

85.5 minutes

Step-by-step explanation:

The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;

Nt = N0 × e^(-λt)

Where;

Decay constant λ = ln(2)/th, substituting into the equation;

Nt = N0 × e^(-ln(2)t/th)

We need to make t the subject of formula;

Nt/N0 = e^(-ln(2)t/th)

ln(Nt/N0) = -ln(2)t/th

t = ln(Nt/N0) ÷ -ln(2)/th

Given;

Initial amount N0 = 760g

Final amount Nt = 11 g

Half life th = 14 minutes

the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;

t = ln(Nt/N0) ÷ -ln(2)/th

Substituting the given values;

t = ln(11/760) ÷ -ln(2)/14

t = 85.5 minutes

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3 years ago
What the definition of a circle
klasskru [66]
It depends, but most of the time it's<span> a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point.</span>

4 0
3 years ago
2.35 ÷ (-1.5) (Round to the tenth)
Sidana [21]
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What is the value of W?
Salsk061 [2.6K]

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Step-by-step explanation:

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4 0
3 years ago
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​
defon

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

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3 years ago
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