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3 years ago

What is the area of a square pig pen that has a perimeter of 72 feet?

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

Answer:

$\pmb{324~ft^{^{2}} }$

Step-by-step explanation:

As we know that,

Perimeter of a square is 4a

where,

a =side

so,

According to the question, 

perimeter of 72 feet

4a=72

a=72/4

a=18

Now we have to find the area.

as we know that,

Area of a square is a^2

where

a=side

Hence,

Area=18^2=324ft^2

Rom4ik [11]3 years ago

4 0

Answer:

324 ft^2

Step-by-step explanation:

P = 4s for a square where s = side length

72 = 4s

Divide each side by 4

72/4 = 4s/4

18 =s

The side length is 18

A = s^2 for a square

A = 18^2

A = 324 ft^2

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The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det

tatiyna

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{\stackrel{height}{6}}{\stackrel{height}{12}}\implies \cfrac{1}{2}\impliedby \textit{scale factor of the pyramids}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt{base}}{\sqrt{base}}\implies \cfrac{1}{2}=\sqrt{\cfrac{base}{base}}\implies \left( \cfrac{1}{2} \right)^2=\cfrac{base}{base}
\\\\\\
\cfrac{1^2}{2^2}=\cfrac{base}{base}\implies \cfrac{1}{4}=\cfrac{base}{base}\\\\
-------------------------------\\\\$

$\bf \cfrac{smaller}{larger}\qquad \cfrac{h}{h}=\cfrac{\sqrt[3]{volume}}{\sqrt[3]{volume}}\implies \cfrac{1}{2}=\sqrt[3]{\cfrac{volume}{volume}}
\\\\\\
\left( \cfrac{1}{2} \right)^3=\cfrac{volume}{volume}
\implies 
\cfrac{1^3}{2^3}=\cfrac{volume}{volume}\implies \cfrac{1}{8}=\cfrac{volume}{volume}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{1}{8}=\cfrac{\stackrel{volume}{v}}{\stackrel{volume}{400}}\implies \cfrac{1\cdot 400}{8}=v$

7 0

3 years ago

Sqrt(3x)-1=-4 1.)x=3 2.)x=-3 3.) no solution 4.)x= 25/3

shtirl [24]

The correct Answer Is NO SOLUTION

8 0

3 years ago

5x-2y=-6 3x-4y = -26

snow_tiger [21]

For this case we must solve the following system of equations:

$5x-2y = -6\\3x-4y = -26$

We multiply the first equation by -2:

$-10x + 4y = 12$

We add the new equation with the second one:

$-10x + 3x + 4y-4y = 12-26$

We have different signs subtracted and the sign of the major is placed:

$-7x = -14\\x = \frac {-14} {- 7}\\x = 2$

Now we find the value of the variable "y":

$3x-4y = -26\\3 (2) -4y = -26\\6-4y = -26\\-4y = -26-6\\-4y = -32\\y = \frac {-32} {- 4}\\y = 8$

Thus, the solution of the system is given by:

$(x, y) :( 2,8)$

Answer:

$(x, y) :( 2,8)$

3 0

3 years ago

Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.

storchak [24]

Answer:

I think its 68 + 1 = 69

Step-by-step explanation:

6 0

2 years ago

AOC and BOD are diameters of a circle, centre O. Angles BAD and CDA are 90°. Prove that triangle AND and triangle DCA are congru

ololo11 [35]

Answer:

By using SAS which stands for Side, Angle, Side.

Step-by-step explanation:

This means that if we have two angles and side measures that are equal to the corresponding angles and side measures of the other triangle then they are congruent.

5 0

2 years ago