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Delicious77 [7]
3 years ago
10

Skylar mowed 16 lawns in 12 hours. What was her rate of mowing in lawns per hour?

Mathematics
1 answer:
erik [133]3 years ago
8 0
16 / 12 = 1.3333
Answer: she mowed 1 1/3 lawns per hour.
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A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the grou
Dvinal [7]

Answer:

Step-by-step explanation:

A tree that is 100 feet tall casts a shadow that is 150 feet long ...

The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°

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Bobcat park is a rectangular park with area of 5 1/5 square miles. it's width is 1 19/20 miles
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320 ft in perimeter and 200 ft in area
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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
1.
olya-2409 [2.1K]
The first one is isolate the 2nd and 3rd wat r the examples
4 0
3 years ago
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What’s the total value of 20 quarters, 40 dimes, 30 nickels, and 15 pennies
Inessa [10]

Answer$10 65 cents

Step-by-step explanation:

20/4= $5 40/10= $4  .05 x 30= $1.50 and add those together to get $10.50 then add the 15 pennies which is $10.65

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3 years ago
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