What is an inequality to represent the perimeter of a triangle if two sides measure 3 meters and 8 meters

16 m < P < 19 m

Step-by-step explanation:

we know that

The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x> the length of the third side

Applying the triangle inequality theorem

1) 3+8 > c

11 > c

c < 11 m

2) c+3 > 8

c> 5 m

so

the measure of the third side must be

5 m < c < 8 m

therefore

The perimeter of the triangle is equal to

P=3+8+c

P=11+c

The inequality is equal to

(11+5) m < P < (11+8) m

16 m < P < 19 m

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.