The amazon river, in south america, is 4,000 miles long. the snake river, in the northwestern united states, is 1,038 miles long. how much longer is the amazon river than the snake river?

The amazon river is 2962 miles longer than the snake river.

Explanation

Suppose, the amazon river is miles longer than the snake river.

As, the snake river in the northwestern united states is 1038 miles long, so the length of the amazon river in term of will be:   miles.

Given that, the amazon river in south america is 4000 miles long. So, the equation will be ......

Thus, the amazon river is 2962 miles longer than the snake river.

0.02040816326

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240