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2 years ago

The length of the edge of a cube is ³√7 cm. Find the volume of a cube

Mathematics

1 answer:

slava [35]2 years ago

8 0

Answer:

7 $cm^{3}$

Step-by-step explanation:

volume is length X width X height

since a cube has the same measurement for length, width, and height, the volume is found by multiplying $\sqrt[3]{7}$ X $\sqrt[3]{7}$ X $\sqrt[3]{7}$

the answer is 7

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Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

In this case,

$\begin{gathered} m=1 \\ n=2 \end{gathered}$

where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

Hence, the y-coordinate of the point P is

$0$

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11 months ago

What is the area of the kite?<br> 6 ft<br> 14 ft

Dovator [93]

Answer:

Step-by-step explanation:

if these are diagonals ,then

area=(product of diagonals)/2

=(6*14)/2=42 ft²

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2 years ago

The length of the edge of a cube is ³√7 cm. Find the volume of a cube​

The length of the edge of a cube is ³√7 cm. Find the volume of a cube