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exis [7]
3 years ago
10

Area=?????? Please help!!???

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

x^2 + 11x + 30

Step-by-step explanation:

Area of a rectangle = length x width

Length = x + 6

Width = x + 5

Area = (x + 6)(x + 5)

Using the distributive property, we have

x x x + x x 5 + 6 x x + 6 x 5

x^2 + 5x + 6x + 30

x^2 + 11x + 30

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1.<br> 6 cm<br> 6 cm<br> Find the surface area of the cube.<br> Surface Area = [?] cm²<br> 6 cm
Mariulka [41]

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]:
\displaystyle \text{SA} = 6a^2

  • <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>

  1. [Surface Area Formula - Cube] Substitute in <em>a</em>:
    \displaystyle \text{SA} = 6(6 \ \text{cm})^2
  2. Evaluate:
    \displaystyle \text{SA} = \boxed{216 \ \text{cm}^2}

∴ we have found the surface area of the cube to be 216 cm².

---

Topic: Geometry

4 0
3 years ago
Read 2 more answers
What is the decimal number 34.576 written in expanded form?
lara31 [8.8K]

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

#SPJ1

4 0
2 years ago
Is the set of all integers between 11 and 22 exclusively equivalent to the set of all integers between 33 and 44 exclusively?
liberstina [14]

yessssssssssssssssssssssssssssssssssssssssss

6 0
3 years ago
Here are the fuel efficiencies (in mpg) of 15 new cars.
alexira [117]

Answer:

60 \%

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

\text{the percentage} =\frac{9}{15} \times 100=60 \%

4 0
2 years ago
Find the equation of a line that contains the points (4,−1) and (−1,−4). Write the equation in slope-intercept form, using fract
olga_2 [115]

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!

6 0
3 years ago
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