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2 years ago

11

An irregularly shaped rock was lowered into a graduated cylinder holding a volume of water equal to 50 ml. The height of the wat

er rose to 75 ml. If the mass of the stone was 250 g, what was its density?

1 answer:

enyata [817]2 years ago

3 0

5 grams per cubic centimeter

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a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

$P=x+y+z$

$P=3,067\ mi$

so

$3,067=x+y+z$ ----> equation A

the shortest side measures 71 mi less than the middle side

so

$x=y-71$ ----> equation B

the longest side measures 372 mi more the the middle side

so

$z=y+372$ ----> equation C

substitute equation B and equation C in equation A

$3,067=(y-71)+y+(y+372)$

solve for y

$3,067=3y+301\\3y=2,766\\y=922$

Find the value of x

$x=y-71\\x=922-71\\x=851$

therefore

The measure of the shortest side is 851 miles

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3 years ago