Please help asap (triangle inequality theorem) show the work

a - yes

b - no

Step-by-step explanation:

triangle inequality theorem - the sum of any 2 sides of a triangle must be greater than the measure of the third side

For a

5 + 4 must be greater than 7 for the set to be measures of the sides in a triangle

5 + 4 = 9

9 is greater than 7 therefore 4,5, and 7 can be measures of the sides in a triangle

For b

3 + 2 must be greater than 6 in order for the set to be measures of the sides in a triangle

3 + 2 = 5

5 is less than 6 therefore 2,3 and 6 can not be measures of the sides in a triangle

it 2

step-by-step explanation:

8^1/3=2

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.