value of x lies in number line as 
and 
.
<u>Step-by-step explanation:</u>
Here , we need to tell where on a number line the value of x is for expression 
. Let's find out:
We know that for a Modulus function the value inside modulus is both positive & negative depending on value of x , So
x is positive :
Equation will be
⇒ 
, That means all numbers which are greater than 1 are included i.e. from 1 to 10 , where 1 is not included as x is strictly greater than 1 .
x is negative :
Equation will be
⇒ 
⇒ 
⇒ 
, That means all numbers which are less than -1 are included i.e. from -1 to -10 , where -1 is not included as x is strictly less than -1 .
Therefore , value of x lies in number line as and .
Answer:
(2)
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × height
= 300 × 15
= 4500 cm³
Answer:
The value of x is 9.
The value of y is 18.
Step-by-step explanation:
The given triangle is a right angled triangle.
We have: 
Therefore, 
Since, 
Therefore, we have:
Now, 'y' is the hypotenuse.
Use Pythagoras theorem, we have 
Substituting x = 9, we get:
81 + 81(3) = y²
Hence, the value of y = 18.
<h2>
Answer:150 electricians,10 inspectors</h2>
Step-by-step explanation:
The solution uses unitary method.
The unitary method is a method for solving a problem by first finding the value of a single unit and finding the required value by multiplying the single unit value.
Given,
Each generator employs 
electricians.
Every 
electricians require 
inspectors.
So,every electrician require 
inspectors.
Anthony's department has 
generators.
Since each generator requires electricians, generators require 
electricians.
Since each electrician needs 
inspectors,
electricians need 
inspectors.
So,to maintain peak performance Antony's department requires electricians and 
inspectors.
