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3 years ago

Find the value of x to the nearest degree.

Mathematics

1 answer:

Vinvika [58]3 years ago

3 0

Answer: 77°

<u>Step-by-step explanation:</u>

In relation to ∠X, 3 is the adjacent side and 13 is the opposite side.

$tan\ \theta=\dfrac{opposite}{adjacent}\\\\tan\ x=\dfrac{13}{3}\\\\x = tan^{-1}\bigg(\dfrac{13}{3}\bigg)\\\\.\ =77$

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Brainliest if you guess my age :)

LenaWriter [7]

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Step-by-step explanation:

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3 years ago

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What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?

FinnZ [79.3K]

Frist we need to find the mean of both so

1.55

2.67

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3 years ago

What is 546 divided by 25 in long division

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3 years ago

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

Please help ASAP. Thanks so much.

MAVERICK [17]

Answer:

B. 3

Step-by-step explanation:

To find the value of c, substitute the x and y values of the given point into x and y of the equation, then isolate c. Since that given point is (2,5), substitute 2 for x and 5 for y:

$(5) = -2(2)^2+8(2)-c\\5 = -2(4)+16-c\\5 = -8 + 16 - c \\5 = 8 -c\\-3 = -c\\c = 3$

Thus, c = 3.

5 0

3 years ago