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SSSSS [86.1K]
3 years ago
8

A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin

e the distance and the angle shown below. What is the distance from the fireman to the fire? Show your work.

Mathematics
1 answer:
hjlf3 years ago
7 0

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

d=3.82 miles

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3 years ago
Ab^2-4/10 when a=4 b=6
hammer [34]

\huge\text{Hey there!}

\large\boxed{\rm{\dfrac{ab^2 - 4}{10}}}

\large\boxed{\rm{\rightarrow\dfrac{\bold{4(6)}^2 -4}{10}}}

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\large\boxed{\rm{4(36)}}

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\large\boxed{\rm{\rightarrow\dfrac{\bold{140}}{10}}}

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4 0
2 years ago
2-(4p+3)=-3(p+2)-(2p+3)
statuscvo [17]
Ultimately, you want the <em>variable</em> p on one side of the equals sign, and the <em>value</em> of p on the other.

First, get rid of the parenthesis by <em>distributing.

</em>There is an invisible -1 in front of the first and last set of parenthesis, and a one times any number is the number itself, so you are essentially distributing the negative sign. 
<em>
</em>So you have:     2-4p-3 = -3p-6-2p-3
<em>
</em>Next, <em>Combine like terms.
</em>
Can you take it from there?<em>

</em>
8 0
3 years ago
Read 2 more answers
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