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3 years ago

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

Answer:

DJ = 48 units

Step-by-step explanation:

The centroid of a triangle is the point of intersection of its median.

The centroid divides each of the medians in the ratio 2 : 1 .

DJ = $\frac{2}{3}$ DH

DJ = $\frac{2}{3}$ × 72 = 48 units

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9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds

Pie

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

7 0

3 years ago

Read 2 more answers

Each side of a cube measures 5 cm in length. What is the cubes volume?

AysviL [449]

____________________________________________________

Answer:

Your answer would be 125 cm³

____________________________________________________

Step-by-step explanation:

In order to find the volume of a cube, we would need to use the right formula to find the volume for it.

Volume of a cube formula:

$V = a^{3}$

For our "a" value, we would need to plug in our side value, and for you case, the side value would be 5.

In a cube, all of the sides would be the same size, so you don't have to worry about using any different numbers.

Lets plug in 5 to our equation.

$V = 5^{3}$

Now we solve:

$5^{3} = 125\\$

This is also the same as:

$5 *5*5 = 125$

Your FINAL answer should be 125 cm³

____________________________________________________

8 0

3 years ago

Read 2 more answers

Determine the equation of the line passing through the points (4,-1) and (-2,-4)

jenyasd209 [6]

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

$m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}$

the equation:

with the point (4, -1)

$y-(-1)=\frac{1}{2} (x-4)$

$y+1=\frac{1}{2}x-2$

$y=\frac{1}{2} x-2-1$

$y=\frac{1}{2} x-3$

I hope this help you

8 0

3 years ago

Select the correct answer Which equation represents a line that is perpendicular to line MN?

taurus [48]

Answer:

D. y = 4x - 6

Step-by-step explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

6 0

3 years ago

Let v1 =(-6,4) and v2=(-3,6) compute the following what i sthe angle between v1 and v2

Agata [3.3K]

$\bf ~~~~~~~~~~~~\textit{angle between two vectors }
\\\\
cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies 
\measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right)\\\\
-------------------------------$

$\bf \begin{cases}
v1=\ \textless \ -6,4\ \textgreater \ \\
v2=\ \textless \ -3,6\ \textgreater \ \\
------------\\
v1\cdot v2=(-6\cdot -3)+(4\cdot 6)\\
\qquad \qquad 42\\
||v1||=\sqrt{(-6)^2+4^2}\\
\qquad \sqrt{52}\\
||v2||=\sqrt{(-3)^2+6^2}\\
\qquad \sqrt{45}
\end{cases}\implies \measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{52}\cdot \sqrt{45}} \right)
\\\\\\
\measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{2340}} \right)\implies \measuredangle \theta \approx 29.74488129694^o$

8 0

3 years ago