Answer:
<h2>15.9</h2>Step-by-step explanation:
A dartboard consists of a circle inscribed in a square. The area of the circle is 25π square units. The area of the square is 10
0 square units.
Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? Round your answer to the nearest tenth of a percent.
____%
Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? Round your answer to the nearest tenth of a percent.
____%
2 answers:
Answer::
A dartboard consists of a circle inscribed in a square.
The area of the circle = 25π square units.
The area of the square = 100 square units.
It is also given that:
Megan randomly throws a dart at the square.
Assuming the dart lands within the square.
We have to find the probability that the dart lands within the dartboard.
⇒
Use
⇒
Therefore, the probability that the dart lands within the dartboard to the nearest tenth of a percent is, 78.5 %
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Step-by-step explanation:
<h3> The complete exercise is attached.</h3>You can observe in the picture attached that the box is a rectangular prism.
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Where "l" is the length, "w" is the width and "h" is the height.
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Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
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Step-by-step explanation:
The function is a piecewise function defined as:
a)
We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).
We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.
This means the maximum number of fish at this pond is 1600, no matter how long it goes on.
b)
A function is continuous at a point if we have the limit and the functional value at that point same.
Functional value at t = 8 is (we use 2nd part of equation):
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So, function is continuous at t = 8
c)
We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:
The time is 4 years when the number of fishes in the pond is 250
Answer:
Step-by-step explanation:
x = number of rows
780=x(x+4)
there are 26 rows and 30 students in each row 26*30=780