First, convert all of the cm measurements to m measurements (so they are all the same unit measurement)
2000 cm = 20 m 800 cm = 8m
<u>Total Perimeter </u>(Note that circumference of a semi-circle is 2 π r/2 = π r)
Add up the lengths of all of the outside edges. I am going to start on the top and move counter-clockwise:
40 + π (10) + 8 + 25 + 8 + (40 - 25 - 10) + 8 + 10 + 8 + π(10)
= 40 + 10π + 41 + (5) + 26 + 10π
= 112 + 20π
= 112 + 62.8
= 174.8
Answer: 174.8 m
<u>Total Area</u>
Split the picture into 5 sections (2 semi-circles, top rectangle, bottom left rectangle, and bottom right rectangle). Find the area for each of those sections and then add their areas together to find the total area.
2 semi-circles is 1 Circle: A = π · r² ⇒ A = π(20/2)² = π(10)² = 100π ≈ 314
top rectangle: A = L x w ⇒ A = 40 x 20 = 800
bottom left rectangle: A = L x w ⇒ A = 25 x 8 = 200
bottom right rectangle: A = L x w ⇒ A = 10 x 8 = 80
Total = 314 + 800 + 200 + 80 = 1394
Answer: 1394 m²
Answer:
X = 18
Step-by-step explanation:
Question: The sum of three numbers in order is 57. the equation that represents this is x (x 1) (x 2) = 57. which value of x from the set {16, 17, 18, 19} makes the equation true?
Answer: First you can use the equation to work out the value of x.
x + (x + 1) + (x + 2) = 57
Simplify the equation.
3x + 3 = 57.
Now solve the equation.
57 - 3 = 54
54/3 = 18
In short, The value of x is 18.
Hello :D
Answer:
A. 
Step-by-step explanation:
First, you add by 14 both sides of an equation.
-14-5y+14>-64+14
Then, simplify by equation.
-64+14=-50
-5y>-50
Multiply -1 both sides.
(-5y)(-1)<(-50)(-1)
5y<50
Divide by 5 both sides of an equation.
5y/5<50/5
Divide numbers from left to right.
50/5=10
y<10 is the correct answer.
Hope this helps you! :D
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Cross-multiply:
- Distribute:
- Isolate <em>x</em> terms:
- Isolate <em>x</em> term:
- Isolate <em>x</em>:
- Rewrite:
Answer:
y = 18
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x + 12
x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: y = 2(3) + 12
- Multiply: y = 6 + 12
- Add: y = 18
