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vichka [17]
3 years ago
6

A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statemen

ts describe the prism? Check all that apply.
1. The prism is a cube.
2, The diagonal of the base is 4 radical 5 centimeters.
3. The length of a side of the base is 20 centimeters.
4. The area of a base is 40 square centimeters.
5. The area of a lateral side between the bases is about 126.5 square centimeters.
Mathematics
2 answers:
slamgirl [31]3 years ago
7 0

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters.

Step-by-step explanation:

The volume of any rectangular prism can be found by the formula

volume =B.h

where B = area of base and h is the height of the prism.

It is given the volume of prism is 800 cubic centimeters and height is  20 centimeters.

Substituting these values in the volume formula :

800= B(20)

Or B= 800÷20=40.

Hence area of base is 40 square centimeters.

The diagonal of base = \sqrt{80}=4\sqrt{5}

The Volume of prism is 800 cubic unit and base area is 40 square units .Lateral area = area of all sides except the base = 126.5 square centimeters.

ki77a [65]3 years ago
5 0

Answer:

The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area of a lateral side between the bases is about 126.5 square centimeters

Step-by-step explanation:

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If a quadratic equation has 4-i as a solution, what must the other solution be?
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Step-by-step explanation:

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2 years ago
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20. James has dimes
SashulF [63]

The question is incomplete:

James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?

a. $10.00

b. $6.20

c.$15.50

d.$25.00

Answer:

d.$25.00

Step-by-step explanation:

With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:

x+y=162 (1)

0.10x+0.25y=31.20 (2), where:

x is the number of dimes

y is the number of quarters

First, you can solve for x in (1):

x=162-y (3)

Then, you have to replace (3) in (2) and solve for y:

0.10(162-y)+0.25y=31.20

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0.15y=31.20-16.2

0.15y=15

y=15/0.15

y=100

Finally, you have to replace the value of y in (3) to find x:

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Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:

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According to this, the answer is that James has $25 in quarters.

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