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3 years ago

A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism?

Mathematics

2 answers:

DedPeter [7]3 years ago

6 0

Answer:

Volume of the prism = 140 cubic inches.

Step-by-step explanation:

The edge length of the cube is 1/2 inches.

The volume of the cube is given by

$\text{Volume}=(\text{edge})^3\\\\V=(1/2)^3\\\\V=0.125$

Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.

Volume of the prism = 1120 × 0.125

Volume of the prism = 140 cubic inches.

stiks02 [169]3 years ago

6 0

Answer: 140

Step-by-step explanation:

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GaryK [48]

The ratio of the trout with tags that are caught and the total trout with tags is first calculated.

r = 12 trout / 180 trout = 1/15

Then, we divide the number of trouts caught without tag by the value obtained above.

N = (48 - 12) / (1/15) = 540

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3 years ago

*Find the area of the figure below. Use 3.14 for pi.<br><br> Area= square inches

alex41 [277]

Answer:

100.26

Step-by-step explanation:

You would find the area of the semi circles on either side of the rectangle by plugging the diameter into the formula for the area of a circle. Then you would add that to the are of the rectangle.

This is what that would look like:

1. Divide 6 (the diameter) by 2 because $r=\frac{1}{2} d$

$r=\frac{1}{2} 6$

$r=3$

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$A=\pi 3^{2}$

3. square the 3

$A=\pi 9$

4. multiply 9 by 3.14 (pi)

$A=28.26$

This means the area of both the semi circles added together would equal 28.26

Then you would use the formula $A=lw$ to find the area of the rectangle

1. plug in the numbers given

$A= 12$ · $6$

2. solve

$A=72$

Then add the area of the semicircles to the area of the rectangle

$A=28.26+72$

to get the area of the entire figure:

$A=100.26$

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3 years ago

Lin bought 1 pretzel from a snack cart that was marked $4.50. Why did she pay $4.83?

marshall27 [118]

Answer:

Sales tax

Step-by-step explanation:

You might have like 3% sales tax which is 3 percent of the original price added back onto it.

Sales tax is a tax that is put onto wanted and gourmet things, so chocolate isn't a needed item in life, so you have sales tax on it. On something like bread or meat, there might not be sales tax since you need food to survive. If something cost $100, and there is 3% sales tax, you will pay 103 dollars since 0.03 of 100 is 3.

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3 years ago

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Genrish500 [490]

Answer:

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Step-by-step explanation:

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andriy [413]

Answer:

This equation has no real solutions, because the discriminant is less than zero.

Step-by-step explanation:

no solution

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