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Ksivusya [100]
2 years ago
8

In the figure below, which term best describes point X?

Mathematics
1 answer:
sergiy2304 [10]2 years ago
5 0

The term best describes point X is option A. Centroid.

<h3>What is the centroid of a triangle and its coordinates?</h3>

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the surface is plane triangle approximately and mass is uniformly distributed, then its center of mass will lie on the centroid of that triangle.

If the triangle has its vertices as   (x_1, y_1), (x_2, y_2) , \: (x_3, y_3)then the coordinates of the centroid of that triangle is given by:

(x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)

The term best describes point X is option A. Centroid.

Learn more about centroid here:

brainly.com/question/7358842

#SPJ1

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Nezavi [6.7K]

Answer:

B

Step-by-step explanation:

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3 years ago
The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
katrin2010 [14]

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

<u>Given that:</u>

tan x = 21

where interval of x is [0,\dfrac{\pi}{2}].

We know that the trigonometric identity for tan x is:

tan\theta = \dfrac{Perpendicular}{Base}

Comparing with:

tan x = \dfrac{21}{1}

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\

\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units

interval of x is [0,\dfrac{\pi}{2}] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}

So, sine x :

\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998

Similarly, value of cos x :

\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046

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3 years ago
Aaron bought these ingredients to make the trail mix recipe. How many pounds of trails mix will he make
Oxana [17]

Answer: 48 pounds of trails mix

Step-by-step explanation:

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What’s the volume of the cylinder
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4 years ago
Read 2 more answers
Listed below are the summary statistics from samples of strontium-90 in baby teeth obtained from twelve Pennsylvania residents a
qaws [65]

Answer:

9.72

Step-by-step explanation:

s1 = 10.6383 ; s2 = 5.21289

x1 = 147.583 ; x2 = 136.417

n1 = 12 ; n2 = 12

df1 = n1 - 1 = 12 - 1 = 11

df2 = n2 - 1 = 12 - 1 = 11

The test statistic :

(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]

Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)

Sp² = ((11*10.6383) + (11*5.21289)) / 22 = 7.926

Test statistic, T* :

(147.583 - 136.417) / √(7.926 * (1/12 + 1/12))

11.166 / √(7.926 * (1/6)

11.166 / √1.321

11.166 / 1.1493476

T* = 9.7150766

Test statistic = 9.72

5 0
4 years ago
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