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olganol [36]
3 years ago
13

What is 5.75% of $6,000? (Express answer as dollars as cents.)

Mathematics
2 answers:
Len [333]3 years ago
6 0
6000*0.0575=345
Final answer: $345.00
Romashka [77]3 years ago
3 0

Answer:

The answers are:

345 dollars

34500 cents

Step-by-step explanation:

In order to determine the answers, we have to know about the percentage notation. For any "x" value that is expressed as x%, it is the same that:

x%=\frac{x}{100}

So, first we determine the value in dollars and then we determine the value in cents, where:

1 dollar=100 cents

In dollars $:

=5.75%*$6000

=\frac{5.75}{100}*$6000

=$345.00

In cents c:

=5.75%*6000*100

=\frac{5.75}{100}*6000*100

=34500.00 cents

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What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tal
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Answer:

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Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

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  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

_____

<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

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