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kogti [31]
3 years ago
9

In Greenville, the library is due south of the courthouse and due west of the community swimming pool. If the distance between t

he library and the courthouse is 7 kilometers and the distance between the courthouse and the city pool is 25 kilometers, how far is the library from the community pool?
Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

24 km

Step-by-step explanation:

this is a right triangle

use the pythagorean theorem

a² + b² = c²

a² + 7² = 25²

a² + 49 = 625

Subtract 49 from both sides

a² = 576

Take the square root of oth sides

a = 24

24 km

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The difference between two numbers is 12.  Three times the larger number is seven times the smaller.  What are the two numbers? 

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Expert Answers info

JEEW-M  | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

 ----(1)

 ----(2)

 

From (1) we can say 

Then substituting  to (2) gives;





      

        

 

Then;





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