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2 years ago

Is it possible for the line segments of a triangle to be 6 cm, 7 cm, and 12 cm in length?

Mathematics

2 answers:

Annette [7]2 years ago

8 0

ANSWER:

Yes.

EXPLANATION:

We know that, a triangle is formed only when the sum of two sides is greater than third side.

So, 6 + 7 = 13 > 12.

7 + 12 = 19 > 6.

12 + 6 = 18 > 7.

Paul [167]2 years ago

6 0

Answer:

Yes because sum of 2 line segment is greater than the third side

Step-by-step explanation:

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I’m 11 years old <br><br><br><br><br><br><br><br><br><br>Jk I’m not I could rlly use a hand tho

horsena [70]

Answer:

880

Step-by-step explanation:

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2 years ago

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What is the distance between A(-8, 4) and B(4, -1)?

Anettt [7]

Answer:

The distance between A(-8, 4) and B(4, -1) is 13 units.

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula given by:

$\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (<em>x₁, y₁</em>) and let B(4, -1) be (<em>x₂, y₂</em>). Substitute:

$d=\sqrt{(4-(-8))^2+(-1-4)^2}$

Evaluate:

$d=\sqrt{(12)^2+(-5)^2}$

So:

$d=\sqrt{144+25}=\sqrt{169}=13\text{ units}$

The distance between A(-8, 4) and B(4, -1) is 13 units.

7 0

3 years ago

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UHHHHH IM GONNA FAIL MATH YALL<br><br> Just answer it ig-?<br> I WILL MARK AS BRAINLIEST

tankabanditka [31]

Answer:

30.96 m^2

Step-by-step explanation:

Side length of the square is also the diameter of the semicircle so:

r = 0.5 * 12 m = 6 m

Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:

Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area

(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)

= 144 - 56.52 - 56.52

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3 years ago

Choose the correct simplification of x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4t

Umnica [9.8K]

Answer:

<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

$=x^{12}\times z^{11}(x^{-2}\times z^{-4})$ ( by using the identity $\frac{1}{a^m}=a^{-m}$ )

$=(x^{12}.x^{-2})\times (z^{11}.z^{-4})$

$=x^{12-2}\times z^{11-4}$ ( by using the identity $a^m.a^n=a^{m+n}$ )

$=x^{10}\times z^7$

$=x^{10}z^7$

∴ $\frac{x^{12}\times z^{11}}{x^2\times z^4}=x^{10}z^7$

<h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3><h3>Hence option A) $x^{10}z^7$ is correct answer.</h3>

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3 years ago

A circle has a sector with area 27 and central angle of 120

Alex_Xolod [135]

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

$A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi$

Hence, the area of the circle is 81π

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3 years ago