rayssasantosmar9889 rayssasantosmar9889
  • 03-11-2020
  • Mathematics
contestada

A triangle has two sides of length 14.8 and 12.8. What compound inequality describes the possible lengths for the third side, x? Write a compound inequality like 1

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 03-11-2020

Answer:

2<x<27.6

Step-by-step explanation:

Let the sides of the triangle be x, y and z. For a triangle having the three sides, the following are true:

x+y>z.... 1

x+z>y....2

y+z>x....3

Let z= 14.8 and y = 12.8

Substitute the given values into 1

x+12.8>14.8

x > 14.8-12.8

x>2

Or 2<x

Substituting into equation 3;

14.8+12.8>x

27.6>x or x<27.6

Combine both inequalities

2<x and x<27.6

We will have;

2<x<27.6

Hence the compound inequality is 2<x<27.6

Answer Link

Otras preguntas

Employees earn vacation pay at the rate of one day per month. during the month of july, 34 employees qualify for one vacation day each. their average daily wage
Mac os is based on the ____ operating system.
What is the range of the function y=2x+1 for the domain 2<=x<=5?
14 1/2 % of what number is 8.7?
Make q the subject 2 (q + p) = 1 + 5q Give your answer in the form ap-b/c where a, b and c are all positive integers
The combustion of 1 mole of CO according to the reaction CO(g) + ½O2(g) → CO2(g) + 67.6 kcal gives off how much heat?
Which Civil war General became President of the US?
The first amendment's guarantee of freedom of the press is intended to allow:
What Is a fraction of a second
What is the freezing point of a solution containing 4.78 grams naphthalene (molar mass = 128.2 g/mol) dissolved in 32.0 grams paradichlorobenzene?