Solved on Feb 04, 2024

Identify variables in expression 11r+5hr+πh11 r + 5 h r + \pi h. Select all correct answers: rr, hh, π\pi.

STEP 1

Assumptions
1. We are given the expression 11r+5hr+πh11 r+5 h r+\pi h.
2. We need to identify all the variables in the expression.
3. Variables are symbols that represent numbers or values that can change.
4. Constants are numbers that do not change.

STEP 2

Examine the first term of the expression.
The first term is 11r11 r. In this term, 1111 is a coefficient (a constant), and rr is a symbol that can represent a number that may vary. Therefore, rr is a variable.

STEP 3

Examine the second term of the expression.
The second term is 5hr5 h r. In this term, 55 is a coefficient (a constant), hh and rr are symbols that can represent numbers that may vary. Therefore, both hh and rr are variables.

STEP 4

Examine the third term of the expression.
The third term is πh\pi h. Here, π\pi is a mathematical constant (approximately equal to 3.14159) and does not change. However, hh is a symbol that can represent a number that may vary. Therefore, hh is a variable.

STEP 5

List all the unique variables identified in the expression.
From the terms 11r11 r, 5hr5 h r, and πh\pi h, we have identified the following variables: rr and hh.

STEP 6

List all the constants identified in the expression.
The constants in the expression are the numbers 1111 and 55, as well as the mathematical constant π\pi.

STEP 7

Select all correct answers from the given options based on the identified variables and constants.
The correct answers are: - rr (variable) - π\pi (constant) - hh (variable)
The numbers 1111 and 55 are constants, not variables, so they are not selected.
The variables in the expression 11r+5hr+πh11 r+5 h r+\pi h are rr and hh.

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