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Naily [24]
3 years ago
13

A building is 2ft from a 7 ft fence that surrounds the property. A worker wants to wash a window in the building 11ft from the g

round. He plans to place a ladder over the fence so it rests against the building. He decides he should place the ladder 7ft from the fence for stability. How long of a ladder will he need?
Mathematics
2 answers:
777dan777 [17]3 years ago
4 0

Answer:


Step-by-step explanation:

plug the numbers into the Pythagorean theorem

which is A^2 + B^2 = C^2

elena55 [62]3 years ago
4 0

Answer:

The ladder is approx 14.21 feet long.

Step-by-step explanation:

The base of the ladder is 7 feet from the fence, which is 2 feet from the building, so it will be 9 feet from the building.

The top of the ladder will reach the window which is 11 feet from the ground.

In this way, we get a right triangle with the ladder as the hypotenuse, that we have to find.

Let the hypotenuse be x.

Using the Pythagorean Theorem, we get;

9^{2} +11^{2} =x^{2}

=> 81+121=x^{2}

=> 202=x^{2}

=> x=\sqrt{202}

=> x = 14.21

Hence, the ladder is approx 14.21 feet long.

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Answer

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Sixty percent of students in Mariana's class has a pet. If 12 students have pets, how many students are in the class
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Please hurry! This is due soon.
kotykmax [81]

Hi!

We can see here that this is a composition question.

And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).

To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.

f(x)=\frac{e^7^x+\sqrt{3}}{2}

y=\frac{e^7^x+\sqrt{3}}{2}

x=\frac{e^7^y+\sqrt{3}}{2}

2x=e^7^y+\sqrt{3}

e^7^y=2x-\sqrt{3}

7y=ln(2x-\sqrt{3})

y=\frac{ln(2x-\sqrt{3})}{7}

Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.

g(f(x))

g(\frac{e^7^x+\sqrt{3}}{2})

\frac{ln(2(\frac{e^7^x+\sqrt{3}}{2})-\sqrt{3}}{7}

2s cancel.

\frac{ln(e^7^x+\sqrt{3})-\sqrt{3}}{7}

The natural log and e cancel.

\frac{7x+\sqrt{3}-\sqrt{3}}{7}

\sqrt{3}s cancel.

\frac{7x}{7}

7s cancel.

x

Hope this helps!

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2 years ago
What is 43750 to the power of 8
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The e is an exponent
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3 years ago
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Answer:

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Step-by-step explanation:

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