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inessss [21]
3 years ago
13

Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90

yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.
What are the possible lengths of the third hallway?

between 30 yards and 60 yards
between 30 yards and 90 yards
between 30 yards and 120 yards
between 30 yards and 150 yards
Mathematics
2 answers:
Harrizon [31]3 years ago
6 0

Answer:

In short the answer is D

Step-by-step explanation:

noname [10]3 years ago
4 0

Answer:

between 30 yards and 150 yards

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

x ----> the possible lengths of the third hallway in yards

<em>Applying the Triangle Inequality Theorem</em>

1) 90+60 > x

150 > x

Rewrite

x < 150 yd

2) 60+x> 90

x > 90-60

x > 30 yd

The possible lengths of the third hallway in yards is the interval

(30,150)

All real numbers greater than 30 yards and less than 150 yards

therefore

between 30 yards and 150 yards

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Step-by-step explanation:

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Operating the following we have:

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Horizontal asymptote.

Finally, in the case of the horizontal asymptote, which must be y = 10, what must be done is to divide all the terms by the highest degree term, in this case it is x ^ 2. It would be as follows:

(x ^ 2 / x ^ 2 - 7 * x / x ^ 2 + 12 / x ^ 2) / (x ^ 2 / x ^ 2 + 7 * x / x ^ 2 + 12 / x ^ 2)

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So for the asymptote to be 10, the entire denominator must be multiplied by 10, thus being:

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