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Brums [2.3K]
3 years ago
8

The length of one side of a square is 3n+2. The Perimeter of the square is 4(3n+2).Which expression is equivalent to the perimet

er.
Mathematics
2 answers:
dolphi86 [110]3 years ago
7 0
Since a square's sides are all equal to each other, and the perimeter of a square is found by adding all of the sides together, we can distribute and simplify the given expression to find the answer:

4(3n+2) = 12n + 8
Radda [10]3 years ago
6 0

Answer:

P=12n+8

Step-by-step explanation:

A square is a geometric figure that is made up of four equal and parallel sides.

The perimeter is the contour of a surface or figure.  In other words, in a figure, the perimeter is the sum of all its sides.

In this sense, since in a square all its sides are equal, the perimeter of a square is given by:

Perimeter=P=l+l+l+l=4l\\\\Where:\\\\l=Length \hspace{3}of \hspace{3}one\hspace{3} of\hspace{3} its\hspace{3} sides

So, in this case:

l=3n+2

Therefore the perimeter is:

P=3n+2+3n+2+3n+2+3n+2

Adding like terms:

P=(3n+3n+3n+3n)+(2+2+2+2)=12n+8

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A sphere of radius 2x m has an area of ​​152.4 m2 and a volume of 360.9 m3. How much will the area and volume of another sphere
VladimirAG [237]

Answer:

V = 1218.0375m^{3}

A = 342.9m^{2}

Step-by-step explanation:

Area:

A = π r^{2}

152.4 = π (2x)^{2}       *Square 2x*

152.4 = π 4x^{2}          *Divide by π*

48.510 = 4x^{2}           *Divide by 4*

12.128 = x^{2}             *Square root*

\sqrt{12.128} = x           *Solve*

x ≈ 3.482

Now take the same equation but replace 2x with 3x

A = π r^{2}\\

Now replace x with 3.482 and solve for area.

A = 342.9m^{2\\}

Volume:

V = \frac{4}{3} π r^{3}               *Insert variables*

360.9 = \frac{4}{3} π (2x)^{3}     *Cube 2x*

360.9 = \frac{4}{3} π (8x^{3})     *Multiply \frac{3}{4} on both sides*

270.675 = π (8x^{3})    *Divide by π*

86.159 = 8x^{3}           *Divide by 8*

10.770 = x^{3}             *Cube root*

\sqrt[3]{10.770} = x            *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

V = \frac{4}{3} π (3x)^{3}    

Now replace x with 2.208 and solve for volume.

V = 1218.0375m^{3}

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Answer:

45

Step-by-step explanation:

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