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grigory [225]
3 years ago
5

The soccer team must travle to the tournament. On a map, the tournament is 6.5 centimeters away. The map scale is 2 cm = 25 mile

s. How far will the team travel to get to the tournament?
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

Answer:

81.25 miles.

Step-by-step explanation:

We divide 6.5 by 2 to get 3.25, we then multiply 3.25 by 25 to get our answer.

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Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

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Second leg would be β

Hypotenuse (74 yards) would be c

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Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
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Seeing that we have a shared hypotenuse and two sides that are congruent, the theorem that we can use is the HL Theorem.

Step-by-step explanation:

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