Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>
Answer:
B. y = -5/2x +3/2
Step-by-step explanation:
5x + 2y = 3
We want to get this in the form
y = mx +b where m is the slope and b is the y intercept
Subtract 5x from each side
5x -5x+ 2y =-5x+ 3
2y = -5x+3
Divide by 2
2y/2 = -5x/2 +3/2
y = -5/2 x +3/2
Answer:
3.945
Step-by-step explanation:
Answer:
After subtracting, there should be 10.5833333 foot piece left. The remaining piece will do, there will be 0.5833333 foot left of a piece.
Step-by-step explanation:
25 1/3 - (8.5 + 6.25)
25 1/3 - 14.75
=10.5833333
Answer:
(-1, -2)
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-2x + y = 0
5x + 3y = -11
<u>Step 2: Rewrite Systems</u>
-2x + y = 0
- Add 2x on both sides: y = 2x
<u>Step 3: Redefine Systems</u>
y = 2x
5x + 3y = -11
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 3(2x) = -11
- Multiply: 5x + 6x = -11
- Combine like terms: 11x = -11
- Isolate <em>x</em>: x = -1
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: y = 2x
- Substitute in <em>x</em>: y = 2(-1)
- Multiply: y = -2
<u>Step 6: Graph Systems</u>
<em>Check the solution set.</em>
