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Dafna1 [17]
3 years ago
5

Find the area of a regular hexagon with a 48-inch perimeter.

Mathematics
2 answers:
kiruha [24]3 years ago
7 0
A= \cfrac{3 \sqrt{3} }{2}*a^2 \ \ \ \ [a=sidelength]  \\   \\ a=48/6=8 \ in \\ \\ \\ A= \cfrac{3 \sqrt{3} }{2}*(8)^2=A= \cfrac{3 \sqrt{3} }{2}*64=3 \sqrt{3}*32= 96 \sqrt{3} \ \ in^2
Oduvanchick [21]3 years ago
7 0

The answer is: 96√3 in2

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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
Katie bought 7 bags of candy at the store. She gave one bag to her sister and kept the rest for her friends. I each bag weighed
daser333 [38]
The answer is 7.68. Since she gave one to her sister, she now has 6 to share with her friends. Now we can conclude the equation to solve this problem would be 6x1.28
4 0
3 years ago
Read 2 more answers
Solve the inequality.<br> 5x - 7 &lt; 8x + 8<br> The solution set is x |
timofeeve [1]

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x -  5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

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5 0
3 years ago
Read 2 more answers
Waht 6/9 dividede 4/7 plzzzzzzzzzzzzzz help
levacccp [35]

Answer:

6/9 ÷ 4/7 = 1 1/6

Step-by-step explanation:

flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other

5 0
2 years ago
Can someone please help I will give brainliest and please if you don’t know the answer don’t put anything due at 12:00
hjlf

Answer:

Answer: (7,-2)

Step-by-step explanation:

Look at the formula

1) (x – h)^2 + (y – k)^2 = r2

the center is described by (h,k)

now look at

(x – 7)^2 + (y +2)^2 = 25

here h=7

but k= -2 because is (y+2) =(y-(-2))

4 0
3 years ago
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