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4 years ago

What is the value of a cube shaped box with edges 6 cm. in length?

2 answers:

6 0

Asking for the value isn't very specific, so I'll determine the volume for you instead . . .

V = s³

where: s = length of 1 side (knowing a cube has all equal sides)

<u><em>V = (6)³ = 216 cm³</em></u>

Alla [95]4 years ago

5 0

Answer:

V = 216cm ^3

Step-by-step explanation:

V = a3 = 63 = 216cm³

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stellarik [79]

Answer:

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6 0

3 years ago

Read 2 more answers

Which of the following are solutions to the equation below? (4x - 1)2 = 11

babunello [35]

(4x - 1)2 = 11
(4x - 1) = 22
4x - 1 = 22
4x = 23
x = 5.75

3 0

3 years ago

Solve the equation uding the most direct method: 3x(x+6)=-10?

Tanzania [10]

To solve this problem, you will use the distributive property to create an equation that can be rearranged and solved using the quadratic formula.

<h3>Distribute</h3>

Use the distributive property to distribute 3x into the term (x + 6):

$3x(x+6)=-10$

$3x^2+18x=-10$

<h3>Rearrange</h3>

To create a quadratic equation, add 10 to both sides of the equation:

$3x^2+18x+10=-10+10$

$3x^2+18x+10=0$

<h3>Use the Quadratic Formula</h3>

The quadratic formula is defined as:

$\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The model of a quadratic equation is defined as ax² + bx + c = 0. This can be related to our equation.

Therefore:

a = 3
b = 18
c = 10

Set up the quadratic formula:

$\displaystyle x=\frac{-18 \pm \sqrt{(18)^2 - 4(3)(10)}}{2(3)}$

Simplify by using BPEMDAS, which is an acronym for the order of operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

$\displaystyle x=\frac{-18 \pm \sqrt{324 - 120}}{6}$

Simplify the radicand:

$\displaystyle x=\frac{-18 \pm \sqrt{204}}{6}$

Create a factor tree for 204:

204 - 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204.

The largest factor group that creates a perfect square is 4 × 51. Therefore, turn 204 into 4 × 51:

$\sqrt{4\times51}$

Then, using the Product Property of Square Roots, break this into two radicands:

$\sqrt{4} \times \sqrt{51}$

Since 4 is a perfect square, it can be evaluated:

$2 \times \sqrt{51}$

To simplify further for easier reading, remove the multiplication symbol:

$2\sqrt{51}$

Then, substitute for the quadratic formula:

$\displaystyle x=\frac{-18 \pm 2\sqrt{51}}{6}$

This gives us a combined root, which we should separate to make things easier on ourselves.

<h3>Separate the Roots</h3>

Separate the roots at the plus-minus symbol:

$\displaystyle x=\frac{-18 + 2\sqrt{51}}{6}$

$\displaystyle x=\frac{-18 - 2\sqrt{51}}{6}$

Then, simplify the numerator of the roots by factoring 2 out:

$\displaystyle x=\frac{2(-9 + \sqrt{51})}{6}$

$\displaystyle x=\frac{2(-9 - \sqrt{51})}{6}$

Then, simplify the fraction by reducing 2/6 to 1/3:

$\boxed{\displaystyle x=\frac{-9 + \sqrt{51}}{3}}$

$\boxed{\displaystyle x=\frac{-9 - \sqrt{51}}{3}}$

The final answer to this problem is:

$\displaystyle x=\frac{-9 + \sqrt{51}}{3}$

$\displaystyle x=\frac{-9 - \sqrt{51}}{3}$

3 0

2 years ago

Help :((( please will mark brainless

nikklg [1K]

Answer:

$A_{total} = 25\ ft^2$

Step-by-step explanation:

<u>Step 1: Determine the area of the square</u>

$A = s^2$

$A = (3\ ft)^2$

$A = 9\ ft^2$

<u>Step 2: Split the top figure into a square and triangle</u>

Determine the area of the rectangle

$A = l * w$

$A = (7\ ft - 3\ ft) * (5\ ft - 2\ ft)$

$A = (4\ ft) * (3\ ft)$

$A = 12\ ft^2$

Determine the area of the triangle

$A = \frac{b * h}{2}$

$A = \frac{\frac{7\ ft - 3\ ft}{2} * (5\ ft - 3\ ft)}{2}$

$A=\frac{2\ ft * 2\ ft}{2}$

$A = \frac{4\ ft^2}{2}$

$A = 2\ ft^2$

Since there are two right triangles in the triangle that we have we multiply the area that we got by 2 to get the total area.

$A_{triangle} = 2\ ft^2*2$

$A_{triangle} = 4\ ft^2$

<u>Step 3: Determine the total area</u>

$A_{total} = 9\ ft^2 + 12\ ft^2 + 4\ ft^2$

$A_{total} = 25\ ft^2$

Answer: $A_{total} = 25\ ft^2$

5 0

2 years ago

To describe a sequence of transformations that maps triangle ABC onto triangle A " B" C", a student starts with a reflection ove

irina1246 [14]

Answer:

no idea lol

Step-by-step explanation:

7 0

3 years ago