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3 years ago

7

Rory's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet

? Express
your answer using exponents.

1 answer:

soldier1979 [14.2K]3 years ago

7 0

9514 1404 393

Answer:

52² ft²

Step-by-step explanation:

The area of a square is the square of the side length:

Area = (52 ft)² = 52² ft²

____

52² = 2704

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love history [14]

Answer:

Part 3)

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Step-by-step explanation:

Part 3)

<em>step 1</em>

Find the value of x

In the right triangle of the figure we know that

The cosine of angle of 30 degrees is equal to the adjacent side to angle of 30 degrees divide by the hypotenuse

so

$cos(30\°)=\frac{3\sqrt{3}}{x}$

and remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}$

Simplify

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<em>step 2</em>

Find the value of y

In the right triangle of the figure we know that

The sine of angle of 30 degrees is equal to the opposite side to angle of 30 degrees divide by the hypotenuse

so

$sin(30\°)=\frac{y}{x}$

and remember that

$sin(30\°)=\frac{1}{2}$

substitute

$\frac{1}{2}=\frac{y}{6}$

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Part 4) Find the value of x

Applying the Pythagoras Theorem

$x^{2} =18^{2} +18^{2} \\ \\x^{2} = 324+324\\ \\x^{2}=648\\ \\x=\sqrt{648}\ units$

Simplify

$x=18\sqrt{2}\ units$

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