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Veronika [31]
4 years ago
10

Find an equivalent ratio for the ratio 6 to 7.

Mathematics
2 answers:
Serjik [45]4 years ago
8 0
The easiest way tofind equivalent ratio is to multiply same number on both side
6:7 also written as 6/7
so, we'll use 2
6*2 =12
7*2=14
the new equivalent ratio is 12:14
so, the equivalent ration for the ratio 6:8 (6/7) is
12:14 (also written as 12/14)

hope this helps !!!!

^_^ happy to help u


vfiekz [6]4 years ago
4 0
6:7
Multiply both sides by 2:
12:14

Hope this helps :)
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The area of the rhombus is 540 cm2; the length of one of its diagonals is 4.5 dm. What is the distance between the point of inte
malfutka [58]

1. The area of the rhombus can be found by the formula

A=\dfrac{d_1\cdot d_2}{2}, where d_1,\ d_2 are rhombus's diagonals.

Note that d_1=4.5\ dm=45\ cm, then

540=\dfrac{45\cdot d_2}{2},\\ \\540\cdot 2=45d_2,\\ \\d_2=24\ cm.

2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

\dfrac{d_1}{2}=22.5\ cm,\ \dfrac{d_2}{2}=12\ cm.

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

\text{rhombus's side}^2=(22.5)^2+12^2=506.25+144=650.25,\\ \\\text{rhombus's side}=25.5\ cm.

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.

Use twice the Pythagorean theorem to find this height:

\left\{\begin{array}{l}x^2+h^2=12^2\\(25.5-x)^2+h^2=22.5^2,\end{array}\right.

where x is projection of leg 12 cm and h is height.

Subtract the first equation from the second:

(25.5-x)^2+h^2-x^2-h^2=22.5^2-12^2,\\ \\650.25-51x=506.25-144,\\ \\51x=650.25-362.25=288,\\ \\x=\dfrac{96}{17}\ cm.

Then

h^2=144-\left(\dfrac{96}{17}\right)^2=144-\dfrac{9216}{289}=\dfrac{32400}{289},\\ \\h=\dfrac{180}{17}\ cm.

Answer: h=\dfrac{180}{17}\ cm.

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3 years ago
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aniked [119]

Answer:

x < -4

Step-by-step explanation:

Hello!

I don't see the drop-down menus, but I will try to help as best as I can...

Like any other equation, you are trying to get x by itself.

Our first step will be to subtract 13 from both sides.

-7x + 13 > 41

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Now, we will need to divide -7 from both sides. But, remember, dividing or multiplying a negative number will switch, or flip, the sign.

-7x/-7 > 28/-7

Doing the above equation will provide us with x all alone on one side:

x < -4

Hope I helped!

-Mary :)

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3 years ago
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Given RS = 6, ST = 3, and SL = 4, find SM.
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A² + b² = c²
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so
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or

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