Answer:
Option A 
Step-by-step explanation:
we know that
The <em><u>Triangle Inequality Theorem</u></em> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
<u><em>Verify each case</em></u>
case A) we have
we know that
Applying the Triangle Inequality Theorem
1) 5+6 > 1.73 -----> is true
2) 5+1.73 > 6 ----> is true
therefore
The side lengths can represent the sides of a triangle
case B) we have
we know that
Applying the Triangle Inequality Theorem
1) 1.41+3 > 5 -----> is not true
therefore
The side lengths can not represent the sides of a triangle
case C) we have
Applying the Triangle Inequality Theorem
1) 1+2 > 3 ----> is not true
therefore
The side lengths can not represent the sides of a triangle
case D) we have
Applying the Triangle Inequality Theorem
1) 2+5 > 8 ----> is not true
therefore
The side lengths can not represent the sides of a triangle
The width of the border will be about 2.5 feet.
The area of the rug is 9 by 7. Let's call the width of the border x. Therefore, the length of the rug will switch to 9 + 2x. The border is on both sides of it, so we add on 2x. Then, the width is 7 + 2x.
The area of the room is therefore: (9 + 2x)(7+ 2x).
We know the area of the room, so we can write and solve the following equation.
(9 + 2x)(7 + 2x) = 167
4x^2 + 32x + 63 = 167
4x^2 + 32x - 107 = 0
At this point, use the quadratic formula and x will equal about 2.5.
Answer:
g(6) = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(n) = n + 2
g(6) is n = 2
<u>Step 2: Evaluate</u>
- Substitute: g(6) = 6 + 2
- Add: g(6) = 8
The answer is
5x/4+2+7/4x
Given
This is the same as
Take arctangent of both sides
Rounding to the nearest hundredth means round to two decimal places
