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cluponka [151]
3 years ago
14

Hey... what's

xFormula1" title="(a {}^{2} - b {}^{2} ) = " alt="(a {}^{2} - b {}^{2} ) = " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
kogti [31]3 years ago
8 0

Answer:

(a^{2} - b^{2} ) = (a + b)(a - b)

Step-by-step explanation:

This is the Difference of Squares: (a^{2} - b^{2} ) = (a + b)(a - b).

Hope it helps!

AlekseyPX3 years ago
8 0

it is (a + b) ( a - b )

<em>hope </em><em>it </em><em>helps</em>

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zavuch27 [327]

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B=x^{2}\ cm^{2}

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V=\frac{1}{3}*x^{2}*(x+2)\\ \\V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}

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V=\frac{1}{3}*[x^{3} +2x^{2}]\ cm^{3}

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A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
Tatiana [17]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

The volume of a cone is given by the following formula:

V = \frac{\pi r^{2}h}{3}

In which r is the radius and h is the height.

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Both have the same height.

The sharing-size cone has 3 times the radius of the skinny-size cone.

Skinny:

radius r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

radius 3r, height h. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

About how many times more popcorn does the sharing cone hold than the skinny cone?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

3 0
3 years ago
Someone please help me with this question !!!!
Lyrx [107]

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

5 0
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