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Mathematics

2 answers:

grin007 [14]4 years ago

6 0

Answer:

Item B.

Step-by-step explanation:

Density of item B

= mass / volume

= 87.5 / 5

= 17.5 g/cm^2 so it cannot be platinum.

The density if Items A and C are the same : 21 g/cm^2.

Pavel [41]4 years ago

3 0

Answer:

Density = Mass / volume

Problem B mass = 87.5 g and volume = 5 cm^3

Density = 87.5 / 5 = 17.5

This value is too low to be platinum

Step-by-step explanation:

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fenix001 [56]

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7 0

3 years ago

A circle has the center of (1,-5) and a radius of 5 determine the location of the point (4,-1)

Sliva [168]

"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?

well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.

well, we can check by simply getting the distance from the center to the point (4,-1).

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{1}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{[4-1]^2+[-1-(-5)]^2}\implies d=\sqrt{(4-1)^2+(-1+5)^2} \\\\\\ d = \sqrt{3^2+4^2}\implies d =\sqrt{9+16}\implies d=\sqrt{25}\implies \stackrel{\textit{right on the circle}}{d = 5}$