Answer:
11.2 miles
Step-by-step explanation:
We can create a triangle from the information given.
<u>We can call the starting point (0,0) in the coordinate system.</u>
- <u>10 mi east</u> - 10 miles to the right. then,
- <u>5 mi north</u> - 5 miles above
<em><u>See the attached picture. The direct distance is labeled as x.</u></em>
Now we need to find x using pythagorean theorem.
Pythagorean Theorem = leg²+leg²=hypotenuse²
Solving for x:

<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>
Answer:

Step-by-step explanation:
First let's find the radius of the quarter circle.

Now let's find the arc length of this quarter circle.

Now let's find the perimeter
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the numbers inside the () are first number is x second number is y so it is (x,y)
so for y<x the second number needs to be smaller than the first number
so right away (3,3) is not the answer
and then y also has to be greater then 2x-3
so replace x with the fist numbers and see what you get.
(2x2)-3 = 4-3 = -1 since -1 is not greater than -1 the second answer (2,-1) is not right
3rd one (-1,-2) 2(-1)-3 = -2-3=-5
so -2 is greater than -5 and -2 is less than -1 so the 3rd one is the answer