Answer:
Step-by-step explanation:
The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.
Formulas used:
- Area of a square with side length
is given by 
- Area of a circle with radius
is given by 
The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:
Area of square: 
Area of circle:
Therefore, the probability that the point will be inside the circle is:
Tan(Θ)=(h/distance from base)
Θ=13 degrees, 1mile=5280 ft
tan(13)=(h/5280 ft)
5280tan(13)=h
h=1218.984049
h=1219 ft
Answer: I believe it would be 171637
Step-by-step explanation:
Answer:
A, D, E (probably preferred)
B, C, F (also true)
Step-by-step explanation:
"This situation" problems are almost always ambiguous. The first problem is to figure out what it is about "this situation" that you want to model.
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If we want to model concession stand revenue in a general way, then statements B, C, and F could represent "this situation." No specific values can be determined from this model.
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More likely, we want to model the details of sales and revenue, so we want to know the exact numbers of water bottles and hamburgers that were sold. For "this situation," we can assign variables to the numbers of items of each type, and write equations for the total number of items and for the revenue their sales generates. Appropriate statements about this interpretation of the problem are those of A, D, and E:
A: x could represent bottles sold
D: y could represent hamburgers sold
E: The system of equations could be 2.50x +5.50y = 1325; x +y = 350.
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The solution to the last model is 200 bottles were sold for revenue of $500, and 150 hamburgers were sold for revenue of $825.
