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3 years ago

The circumference of a circle is 18.84 yards what is the circles diameter

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

6cm

Step-by-step explanation:

to find the diameter of a circle whose circumference is = 18 .84

the formula for finding the circumference of a crcle = πd

18.84 = πd

note π = 22/7 or 3.14

so,

18. 84 = 3.14 × d

divide both sides by 3.14

18.84/3.14 = 3.14d/3.14

6cm = d

therefore the diameter of the circle whose circumference is 18.84 is equal to 6cm

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Answer:

The value would be

Step-by-step explanation:

What is the value of x in: 4x+3y=12 and 2x-3y=-30 *

4x + 3y

The answer is x = 2 - 3y = 4

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So 2x + 3y = 12 is

X = 3 - 3y/4

2x - 3y = 30

X = 15 + 3y/2

Hope it help : ) Please Rate it for me!

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Answer:

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Step-by-step explanation:

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What is the area of a square if one side is 25 feet long?

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the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 a

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Answer:

The wood was cut approximately 8679 years ago.

Step-by-step explanation:

At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:

$\frac{dm}{dt} = -\frac{m}{\tau}$ (Eq. 1)

Where:

$\frac{dm}{dt}$ - First derivative of mass in time, measured in miligrams per year.

$\tau$ - Time constant, measured in years.

$m$ - Mass of the radioactive isotope, measured in miligrams.

Now we obtain the solution of this differential equation:

$\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt$

$\ln m = -\frac{1}{\tau} + C$

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (Eq. 2)

Where:

$m_{o}$ - Initial mass of isotope, measured in miligrams.

$t$ - Time, measured in years.

And time is cleared within the equation:

$t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right]$

Then, time constant can be found as a function of half-life:

$\tau = \frac{t_{1/2}}{\ln 2}$ (Eq. 3)

If we know that $t_{1/2} = 5730\,yr$ and $\frac{m(t)}{m_{o}} = 0.35$ , then:

$\tau = \frac{5730\,yr}{\ln 2}$

$\tau \approx 8266.643\,yr$

$t = -(8266.643\,yr)\cdot \ln 0.35$

$t \approx 8678.505\,yr$

The wood was cut approximately 8679 years ago.

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3 years ago