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3 years ago

14

If the area of an equilateral triangle with sides of 4 ft. is 4 to the square root of 3 power, then the area of the regular hexa

gon base is

1 answer:

Nikitich [7]3 years ago

7 0

Answer:

24√3 square feet

80√3 cubic feet

Step-by-step explanation:

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Presley is organizing the school book sale. Each stall will have 40 books on the shelf and 2 boxes of books with b books inside.

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40s+2bs+200=number of books needed

if we want 12 books and 8 stalls

b=12
s=8
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40(8)+2(12)(8)+200=
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3 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

The remains of an ancient ball court include a rectangular playing alley with a perimeter of about 24m. The length of the alley

allsm [11]

ANSWER

Length of the playing alley = 9m

Width of the playing alley = 3m

STEP-BY-STEP EXPLANATION:

Given information

<em>The perimeter of a rectangular playing alley = 24 m</em>

<em>The length of the alley is three times the width</em>

Let l represents the length of the alley

Let w represents the width of the alley

Step 1: Write the formula for calculating the perimeter of a rectangle

$\text{Perimeter of a rectangle = 2(l + w)}$

Where l is the length and w is the width of the rectangle

Recall, length = 3 times the width of the alley

Mathematically,

$\begin{gathered} l\text{ = 3 }\times\text{ w} \\ l\text{ = 3w} \end{gathered}$

Step 2: Substitute the value of l = 3w into the above formula

$\begin{gathered} P\text{ = 2(l + w)} \\ p\text{ = 24m} \\ l\text{ = 3w} \\ 24\text{ = 2(3w + w)} \end{gathered}$

Step 3: Solve for w

$\begin{gathered} 24\text{ = 2(4w)} \\ 24\text{ = 8w} \\ \text{Divide both sides by 8} \\ \frac{24}{8}\text{ = }\frac{8w}{8} \\ w\text{ = 3 m} \end{gathered}$

From the calculations above, you will see that the width of the playing alley is 3m

Step 4: Solve for l

$\begin{gathered} \text{Recall, l = 3w} \\ w\text{ = 3} \\ l\text{ = 3 }\times3 \\ l\text{ = 9m} \end{gathered}$

Hence, the length of the playing alley is 9m

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1 year ago