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IrinaVladis [17]
2 years ago
8

The sum of the squares of 4 consecutive integers is an even integer.

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

Answer:

yes

Step-by-step explanation:

Let's call the first integer n and let's compute.n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16  =\\4n^2+20n +30 = 2 (2n^2+10n+15)

Which is indeed of the form 2(something), so it is even.

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Answer:

147

Step-by-step explanation:

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So 180-33 is 147

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3 years ago
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Marta_Voda [28]
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13 ones equals 13 
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A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. What is the volume of the roof to the ne
Lubov Fominskaja [6]

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

<h3>How to find the volume of the composite figures?</h3>

To find the volume of the composite figures, follow the steps listed below:,

  • Separate the figure.
  • Calculate the volume of each figure by which the composite figure is made of.
  • Add the volume of all the individual figures to get the total volume of composite figures.

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

Learn more about the volume of composite figures here;

brainly.com/question/1205683

#SPJ1

7 0
1 year ago
WILL GIVE EXTRA BRAINLST <br><br> HAVE A NICE DAy
Pie

Answer:

They should both be irrational

Step-by-step explanation:

:)

Have a nice day too!

6 0
2 years ago
How do I find the inverse of this problem?
IgorLugansk [536]

Answer:

g=n . n=g

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8 0
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