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Romashka [77]
3 years ago
6

Locations of the towns: Dunkirk (0,0), Clearfield (10,2), Lake City (5,7) and Allentown (1,4)

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Graphing the points shows you that ...

The 2 towns closest together are Dunkirk and Allentown.

The 2 towns farthest apart are Dunkirk and Clearfield.

_____

A compass (or dividers) can help you sort it out once you plot the points on a graph, if you don't trust your eyeballs to tell you which distances are longest and shortest.

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What is the value of x in the diagram? A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured
Lunna [17]
If you visualize the problem, there are two concentric circles, the pool, and the pool plus the walkway. So, we have to subtract the area of these two concentric circles to find the walkway.

Bigger circle: Pool plus walkway
----------------------------------
diameter = 18 + 4(2)   -- this is because there is 2 ft of walkway at each far end
diameter = 26 ft
Area = pi*(26/2)^2
Area = 530.93 ft2

Smaller circle:pool
---------------------
diameter = 18 ft
Area = pi*(8/2)^2
Area = 50.27 ft2

Area of walkway
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A = 530.93 - 50.27
A = 480.66 ft2

Then the cost would be
Cost = $4.25 * 480.66
Cost = $2,042.81
8 0
3 years ago
What is each number in scientific notaion
ruslelena [56]

For the first one it is 5 x10^{8}  

and for the second one it is 0.0005 = 5 × 0.0001 = 5 × 10−4

6 0
3 years ago
Simplify the expression with using scientific notation (4 times 10 8)2
kifflom [539]

The scientific notation:

a\cdot10^n\\\\1\leq a < 10;\ n\in\mathbb{Z}

(4\cdot10^8)^2=4^2(10^8)^2=16\cdot10^{8\cdot2}=16\cdot10^{16}\\\\=1.6\cdot10\cdot10^{16}=1.6\cdot10^{17}

Used:

(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a=a^{n+1}

Answer: (4 × 10⁸)² = 1.6 × 10¹⁷

8 0
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GarryVolchara [31]
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Which of the following represents a function?
Andrew [12]
Answer: b
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4 0
3 years ago
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