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3 years ago

For trans thanks for helping me your the best

Mathematics

1 answer:

MatroZZZ [7]3 years ago

5 0

Answer:

x = 58.5 m

Step-by-step explanation:

Let us use sine law to find the length of the yellow cable. Note that a cable of length 64 m is directly opposite the 112° angle and the 58° angle is directly opposite the unknown cable length. We can the set up our sine law as follows:

$\frac{x}{ \sin(58) } = \frac{64 \: m}{ \sin(112) }$

Solving for x,

$x = \frac{ \sin(58) }{ \sin(112) } \times (64 \: m) = 58.5 \: m$

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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

Furkat [3]

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.

5 0

3 years ago

Find the value of x. Then find the measure of each labeled angle

34kurt

Answer:

x = 109

Top Right Angle = 109

Bottom Right Angle = 71

Step-by-step explanation:

Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.

(x-38) + x + 90 + 90 = 360

2x + 142 = 360

2x = 218

x = 109

(x - 38) = (109 - 38)

71 degrees for bottom right angle

109 for top right angle

8 0

2 years ago

3x-2y=-1 and 3x-2y=9 solve using elimination

luda_lava [24]

You can put them vertically
then subtract them
but if you do it, it will be 0=-10 that doesn't make sense.
So the answer is that there is no answer!

3 0

3 years ago

Its multiple choice pls help

V125BC [204]

Answer:

I don't understand the question could u explain it more?

Step-by-step explanation:

3 0

3 years ago

Hans needs to memorize words on a vocabulary list for Latin class. He has memorized 20 of the words which is 1/4 of the list. Ho

Sliva [168]

If hans memorized 20 of the words which is 1/4 of the list that means you need to multiply by 4 to get the total number of words which would be 80.

8 0

3 years ago

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