The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

$b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles$

The shortest distance to the starting point is 9.4 miles

4 0

2 years ago

Need help explaining why this happens

Charra [1.4K]

Just like 2 squared = 4, the square root of 2 multiplied by itself will result in a product of 2. Squaring a number always means multiplying that number by the same number.

8 0

2 years ago

Adam wrote a check for $38 to pay his monthly gas bill, but when balancing his checkbook, he accidentally recorded it as credit

andriy [413]

Answer: the balance in his check register will be $76 over the balance on his bank account

7 0

2 years ago

Which expression could be used to find the distance between point A and point B?

olga nikolaevna [1]

Answer:

Step-by-step explanation:

because it seem to be correct