Answer: 10380cm^3
Explanation:
Find the volume of half cylinder:
V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3
Find the volume of the rectangle:
V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3
Find the volume of the whole shape:
V = 1980 + 8400
V = 10380cm^3
Step-by-step explanation:
the answer is in the above image
Answer:
a. (4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-x + 4y = -8
-5x - 4y = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: -6x = -24
- Isolate <em>x</em>: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: -x + 4y = -8
- Substitute in <em>x</em>: -4 + 4y = -8
- Isolate <em>y</em> term: 4y = -4
- Isolate <em>y</em>: y = -1
Answer:
But, you didn't ask any question.
Step-by-step explanation:
Remember to post your question next time.
9514 1404 393
Answer:
(2x +y)(2x -y +6)
Step-by-step explanation:
The shaded area is the difference of the areas of the outer square and the inner square. In turn, those areas are the square of the edge dimension of the square. So, the shaded area is the difference of squares:
area = (2x +3)² -(y -3)²
The difference of squares is a "special product" in that it has a factored form that is worth remembering.
a² -b² = (a -b)(a +b)
Using this form for our area, we have ...
area = ((2x +3) -(y -3))((2x +3) +(y -3))
area = (2x -y +6)(2x +y)
