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Anon25 [30]
3 years ago
6

A flagpole that was originally 24 feet tall has cracked 9 feet from the ground and has fallen as if hinged. Find

Mathematics
1 answer:
Dimas [21]3 years ago
8 0
The top of the flag pole touched the ground 12 feet from the base.

Since it cracked 9 feet from the base, 9 is the vertical leg of the right triangle formed.  The rest of the flagpole, 24-9=15, is the hypotenuse, as it is slanted down to the ground.  The missing side is the horizontal leg, which we will call b:

9²+b²=15²
81+b²=225

Subtract 81 from both sides:
81+b²-81=225-81
b²=144

Take the square root of both sides:
√b²=√144
b=12
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Answer:

The length of the rectangle is 25 km

Step-by-step explanation:

Let

x ----> the length of rectangle

y ----> the width of rectangle

we know that

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P=2(x+y)

we have

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so

68=2(x+y)

simplify

34=(x+y)---- > equation A

x=3y-2 ---> equation B

substitute equation B in equation A and solve for y

34=(3y-2)+y

34=4y-2

4y=34+2

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y=9\ km

Find the value of x

x=3(9)-2=25\ km

therefore

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3 years ago
Which number line correctly shows the location or approximate location of the three numbers?
GREYUIT [131]
<h2>Hello!</h2>

The answer is: D. is the fourth picture.

<h2>Why?</h2>

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or

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Then, we just need to find the image where they are properly located/ordered:

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Have a nice day!

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4 years ago
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<h3>How to solve the expression?</h3>

The expression is given as:

(x + y)(x - y)

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x(x - y) + y(x -y)

Further, expand

x^2 - xy + xy - y^2

Evaluate the like terms

x^2 - y^2

Hence, the simplified expression of (x + y)(x - y) is x^2 - y^2

Read more about expressions at:

brainly.com/question/723406

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3 years ago
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