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2 years ago

What fraction of 34 it will take to make 23?

Mathematics

1 answer:

vova2212 [387]2 years ago

7 0

Answer:

34 = 2 × 17

Step-by-step explanation:

To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF

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Solve 3x2 = −12x − 15. x = −4 ± 2i x = −4 ± i x = −2 ± 2i x = −2 ± i

diamong [38]

ANSWER

$x = - 2 \pm i$

EXPLANATION

We use the method of completing the squares.

The equation is
$3 {x}^{2} = - 12x - 15$

We rewrite the above equation to obtain;

$3 {x}^{2} + 12x = - 15$

We divide through by 3 to obtain;

${x}^{2} + 4x = - 5$

We add half the coefficient of
$x$

to both sides of the equation to get,

${x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}$

The right hand side is now a perfect square.

${(x + 2)}^{2} = - 1$

We now take square root of both sides to get;

$x + 2 = \pm \sqrt{ - 1}$

We add -2 to both sides,

$x = - 2 \pm \sqrt{ - 1}$

We simplify to obtain,

$x = - 2 \pm i$

3 0

3 years ago

Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.

Flura [38]

Answer:

s = 6 feet

Step-by-step explanation:

Given that,

The volume of the cube, V = 216 feet³

We need to find the side length for the cubical box. We know that the volume of the cube is given by :

$V=s^3$ , s is the side length of the box.

So,

$s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet$

So, the side length for the cubical box is equal to 6 feet.

6 0

3 years ago

Which shows how to determine the volume of the pyramid?

blagie [28]

Answer:

The first opinion

Step-by-step explanation:

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Find the area of the equilateral triangle

uranmaximum [27]

Answer:

Step-by-step explanation:

Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:

√3 h

sin 60 degrees = ------- = --------

2 s

s√3

and so h = the height of the triangle = -----------

The area of this triangle is (1/2)(base)(height), which here is:

(1/2)(s/2)( s√3 /2), or

(s^2)√3

A = ---------------

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3 years ago

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According to a recipe for purple paint, the ratio of milliliters of blue paint to milliliters of red paint in the mixture should

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3 years ago

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