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Anna [14]
4 years ago
10

Please help. Thank you

Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
6 0

Answer:

y = 90 meters.

Step-by-step explanation:

It is given in the figure that we have two triangles triangle A and triangle B are similar.

So, \frac{x}{m} = \frac{y}{n} = \frac{z}{p} .......... (1)

So, the ratio of the corresponding sides of two similar triangles remain same.

Now, x = 75 meters, n = 30 meters and m = 25 meters are given we have to find the value of y.

So, from relation (1), we have \frac{75}{25} = \frac{y}{30}

⇒ y = 90 meters. (Answer)

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7 0
3 years ago
The length of a regulation soccer field is 110 meters. The diagonal length of the same soccer field is about 133.14 meters. Abou
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Answer:

D

Step-by-step explanation:

Imagine this as a right angle triangle, where the diagonal length is the hypotenuse, the length is one side, and the width is the other.

We can therefore use Pythagoras' Theorem (or Pythagorean Theorem) to solve. The formula for this is a²+b²=c², where c is the hypotenuse, and a and b are the sides.

We can input the values we know to this formula to get the width. This gives 110²+b²=133.14² or 12100+b²=17 726.2596.

From there subtracting 12100 from both sides gives b²=5626.2596.

Square rooting b isolates it, leaving b=75.0083969.

Since the value of the diagonal was approximate, this can be assumed the b is 75m.

**This content involves Pythagoras' Theorem/Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

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