Which set of side lengths forms a right triangle
2, 3 , 13
4, 6, 10
9, 12, 18
15, 36, 39

Step-by-step explanation:

First let us apply triangle inequality to check whether these sides form a triangle at all

2+3 <13 hence 2,3,13 cannot form a triangle

4,6,10 L 4+6 =10 hence a straight line but not a triangle

Next

9,12,18

These three can form a triangle.

To check right angle:

18^2 =324  :  9^2+12^2 =81+144 =225

Pythagorean not satisfied hence not right triangle

15,36,39

These form a triangle.

39^2 = 1521

15^2+36^2 =225+1296=1521

Yes.  Hypotenuse square = sum of squares of legs

Hence 15,36,39 forms a right triangle.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.