Answer:
The <em>surface area</em> of the cube is equal to 216 cm².
General Formulas and Concepts:
<u>Geometry</u>
Surface Area Formula [Cube]:
- <em>a</em> is a side length
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 6 cm
<u>Step 2: Find Surface Area</u>
- [Surface Area Formula - Cube] Substitute in <em>a</em>:
- Evaluate:
∴ we have found the surface area of the cube to be 216 cm².
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Topic: Geometry
The decimal number 34.576 written in expanded form is: D: three times ten plus four times one plus five times one tenth plus seven times one hundredth plus six times one thousandth.
<h3>
Decimal number in expanded form</h3>
Decimal number=34.576
Tens Ones Tenths Hundredths Thousandths
3 4 . 5 7 6
Hence,
Expanded Form 34.576:
34.576 = (3× 10^1) + (4² 10^0) + (5× 1/10^1) + (7× 1/10^2) + (6 × 1/10^3)
34.576 = (3 × 10) + (4×1) + (5× 1/10) + (7× 1/100) + (6×1/1,000)
34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
34.576=34.576
Therefore the correct option is D.
Learn more about Decimal number in expanded form here:brainly.com/question/603715
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Answer:
Step-by-step explanation:
Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :
27,22,18,23 , 30 , 19,16,28,21
Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
