Which of the following lists is in order from smallest to largest?
15, 2/11, 0. 175, 17%
2/11, 17%, 0.175, 1/5
17%, 0.175,2/11, 1/5
2/11, 1/5, 17%, 0.175

17%, 0.175, 2/11, 1/5 is correct.

Step-by-step explanation:

We can solve this question through options :-

(i) 15 = 15, 2/11 = 0.18, 0.175, 17% = 0.17 (×)

(ii) 2/11 = 0.18, 17% = 0.17 , 0.175, 1/5 = 0.2 (×)

(iii) 17 % = 0.17, 0.175, 2/11 = 0.18, 1/5 = 0.2 Correct

(iv) 2/11 = 0.18, 1/5 = 0.2, 17% = 0.17, 0.175 (×)

Hence only option (iii) is in order from smallest to largest.

(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