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Feliz [49]
3 years ago
11

The population and area of three U.S. states in the East Coast region are given:

Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:   a) Density of,

New York = 420

Maryland =  619

Pennsylvanian = 286

b) The required order from most dense state to least dense state is,

Maryland, New York, Pennsylvanian

Step-by-step explanation:

a) Since, Density = \frac{Population}{Area}

Here, The population of New York = 19,795791

Area = 47126

Thus, the Density of the New York

= \frac{19,795791}{47126} =420.060921784\approx 420

Similarly, Density of Maryland,

= \frac{6,006,401}{9,707}= 618.770062841\approx 619

And, Density of Pennsylvania

= \frac{12,802,503}{44,743}= 286.134210938\approx 286

b) Since, 619 > 420 > 286

Thus, the states in the decreasing order of their density,

Maryland, New York, Pennsylvanian

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Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
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Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
  • Draw a radius that is perpendicular and a bisector through the chord
  • Draw a radius that is from the center of the circle to one end of the chord.
  • Label where the perpendicular radius to the chord intersect. Call it E.
  • You should get something that looks like  the diagram below. The only thing you have to do is put in the point E which is the midpoint of CB.

Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

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169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

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√25 = √AE^2

5 = AE

Answer

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