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torisob [31]
2 years ago
6

how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge of 1/4 inches?

Mathematics
2 answers:
sasho [114]2 years ago
8 0
The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with <u>at least</u>

(24,000) x (0.015625) = <u>375 cubic inches</u>.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges.


Anika [276]2 years ago
4 0
Material was used in the manufacture of 24000 celluloid dice
 each dice has an edge of 1/4 inches
=1/4*24000
=24000/4
=6000
material was used in the manufacture of 24000 celluloid dice is 6000
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we know that

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Find the total employee compensation package for each company

Step 1

Find the total employee compensation package for company A

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=37,600+2,800+3,100-1,200\\ total\ employee\ compensation=42,300\ dollars

Step 2

Find the total employee compensation package for company B

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=36,800+2,400+3,600-600\\ total\ employee\ compensation=42,200\ dollars

Step 3

Find the total employee compensation package for company C

total\ employee\ compensation=gross\ pay\ +\ paid\ insurance\ +\ paid\ time\ -\ job\ expenses

total\ employee\ compensation=38,100+2,100+2,900-300\\ total\ employee\ compensation=42,800\ dollars

Step 4

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8 0
2 years ago
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Triangle A has a height of 2.5\text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text and a base of 1.6\text{ cm}1.6 cm1,
konstantin123 [22]

Answer:

Option A

Option D

Option E

Step-by-step explanation:

we know that

If the height and base of triangle B are proportional to the height and base of triangle A

then

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Remember that

If two triangles are similar then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

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\frac{h_A}{h_B} =\frac{b_A}{b_B}

where

h_A and h_B are the height of triangle A and triangle B

b_A and b_B are the base of triangle A and triangle B

In his problem we have

h_A=2.5\ cm\\b_A=1.6\ cm

substitute

\frac{2.5}{h_B} =\frac{1.6}{b_B}

Rewrite

\frac{2.5}{1.6} =\frac{h_B}{b_B}

\frac{h_B}{b_B}=1.5625

<u><em>Verify all the options</em></u>

A) we have

h_B=2.75\ cm\\b_B=1.76\ cm

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substitute the values in the proportion

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substitute the values in the proportion

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h_B=3.2\ cm\\b_B=5\ cm

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substitute the values in the proportion

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h_B=1.25\ cm\\b_B=0.8\ cm

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substitute the values in the proportion

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substitute the values in the proportion

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Answer:

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