Answer:
B.) 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - y = -1
3x + 5y = 21
<u>Step 2: Rewrite Systems</u>
x - y = -1
- Add <em>y</em> to both sides: x = y - 1
<u>Step 3: Redefine Systems</u>
x = y - 1
3x + 5y = 21
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 3(y - 1) + 5y = 21
- Distribute 3: 3y - 3 + 5y = 21
- Combine like terms: 8y - 3 = 21
- Add 3 to both sides: 8y = 24
- Divide 8 on both sides: y = 3
Answer:
0.14 or 0.142
Step-by-step explanation:
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
X=7
Hope this helps and have a wonderful day!
First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .
So for the given question, reference angle of 11pi/6 is
And that's the required reference angle .