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3 years ago

The surface area of a cube is 96 square feet. Find the volume of the cube.

1 answer:

4 0

cube has six identical walls

96ft² : 6 = 6 ft² - one wall surface

pattern on the surface of the cube
A = a²
a - the edge of the cube

A = a² ⇔ a=√A
a = √(16ft)² = 4ft
V = volume
V = a³
V = (4ft)³ = 64 ft³

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The graph of an equation with a negative discriminant always has which characteristic?

kobusy [5.1K]

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2 years ago

Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.

topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)$

On comparing both sides, we get

$\dfrac{4+a}{2}=\dfrac{-1}{2}$

$4+a=-1$

$a=-1-4$

$a=-5$

And,

$\dfrac{5+b}{2}=\dfrac{3}{2}$

$5+b=3$

$b=3-5$

$b=-2$

Therefore, the coordinates of fourth vertex are (-5,-2).

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2 years ago

IS THIS RIGHT OH NO

OverLord2011 [107]

Answer:

the top are right im not sure about bottom

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2 years ago

What is the slope of (9,5) and (21-,5)

kondor19780726 [428]

Answer:

$\frac{y2-y1}{x2-x1} \\\frac{-5-5}{21-9}\\ \frac{-10}{12} \\-\frac{5}{6}$

Step-by-step explanation:

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1 year ago

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3 years ago