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exis [7]
3 years ago
5

A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 con

tainer need?

Mathematics
1 answer:
dezoksy [38]3 years ago
6 0

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180

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The first few steps in deriving the quadratic formula are shown.
Kisachek [45]

In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.

<h3>What is quadratic equation?</h3>

A quadratic equation is the equation in which the highest power of the variable is two.

Here, The first few steps in deriving the quadratic formula are shown in the table.

Use the substitution property of equality to solve it further,

-c=-ax² +bx

Now factor out the term a, to solve further as,

    - c = a (x² + b/a x)

for half of the b value and square it to determine the constant of the perfect square trinomial as,

     (b/2a)² = b²/4a²

Now  the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

  -c + b²/4a² = a(x² + b/a x + b²/4a² )

Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Learn more about Quadratic equation from:

brainly.com/question/14336752

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7 0
1 year ago
A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle?
Alik [6]

Answer: A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

Step-by-step explanation:

A triangle has side lengths that are 8 cm, 15 cm, 17 cm. Is this a right triangle? A triangle has side lengths of 8 cm, 15 cm, and 17 cm. classify it as acute, obtuse, or right. Well, since 8^2 + 15^2 = 17^2, the sides fit the Pythagorean Theorem and thus it must be a right triangle.

5 0
2 years ago
What is the value of y? 6(5 + 3) = 6 • 5 + 6 • y 
sergey [27]
30+18=30+6y
18=6y 
y=3 so the answer is 3
3 0
3 years ago
Okay this is my last question thank you for the people that’s helped me
Nat2105 [25]

Answer:

You are welcome

7 0
3 years ago
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Which set of numbers is most reasonable to use to describe the area of your kitchen floor
elixir [45]
Square feet or Square meters (depending on if you live in the USA or UK)
8 0
3 years ago
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