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USPshnik [31]
3 years ago
10

What attributes help you tell the difference between a rhombus and a rectangle? Explain.

Mathematics
2 answers:
Alexus [3.1K]3 years ago
4 0
Angles and sides are the main differences! In a rectangle, all angles will be 90 degrees. In a rhombus, opposite angles will always be congruent. And, all sides in a rhombus are congruent, while in a rectangle, opposite sides are congruent. 

An easy way to think of it is that, if a rhombus and a rectangle had a baby, it would be a square! A square gets its 90 degree angles from the rectangle, and the congruent sides from the rhombus. Hope that helped! 
goblinko [34]3 years ago
3 0
The angles will help you tell the difference. In a rectangle, all angles are 90 degrees. In a rhombus, the 2 opposite facing angles are the same and all side lengths are the same. 
Hope I helped. :P
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Answer:

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Step-by-step explanation:

-1+(-5)

You are moving down the numberline, then subtracting again because of the negative sign. -(1+5) is how I like to think of it.

So, 1+5=6, and you add the negative sign. -1+(-5)=-6.

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Answer:C

Step-by-step explanation:There is definitely enough info.

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Solution:

Given Expression is 1/40* x = 1/8

Step : Define x in the Equation:

Step : Divide the Equation by 8

Step : Do cross multiplication

Step : Arrange it in particular form

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☞ 1/40x = 1/8

☞ x/40 = 1/8

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Use the formula for the cosine of the difference of two angles to find the exact value of the following expression.
Zolol [24]

Answer:

Exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

Step-by-step explanation:

Given:

Cos(45° - 60°)

We have to apply the formula of cosine for difference of the two angles.

Formula:

cos(a-b)=cos(a)\ cos(b)+sin(a)\ sin(b)

Plugging the values.

⇒ cos(45-60)=cos(45)\ cos(60) + sin(45)\ sin(60)

We know that the values :

sin(45) =cos(45) = \frac{1}{\sqrt{2} }

sin(60)=\frac{\sqrt{3} }{2}  and  cos(60)=\frac{1}{2}

So,

⇒ cos(45-60)=(\frac{1}{\sqrt{2} } \times \frac{1}{2} ) + (\frac{1}{\sqrt{2} } \times \frac{\sqrt{3} }{2})

⇒ cos(45-60)=(\frac{1}{2\sqrt{2} }  + \frac{\sqrt{3} }{2\sqrt{2} })

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )

⇒ cos(45-60)=(\frac{1+\sqrt{3} }{2\sqrt{2} } )\times \frac{2\sqrt{2} }{2\sqrt{2} }  ...<em>rationalizing </em>

⇒ cos(45-60)=\frac{2\sqrt{2} +2\sqrt{6} }{ 8}

⇒ cos(45-60)=\frac{2(\sqrt{2}+\sqrt{6})}{8}       ...<em>taking 2 as a common factor</em>

<em>⇒ </em>cos(45-60)=\frac{(\sqrt{2}+\sqrt{6})}{4}

To find the exact values we have to put the values of sq-rt .

As<em>, </em>\sqrt{2}=1.41     and   \sqrt{6} =2.44

Then

<em>⇒ </em>cos(45-60)=\frac{( 1.41+2.44)}{4}<em />

<em>⇒ </em>cos(45-60)=\frac{( 3.85)}{4}<em />

⇒ cos(45-60)=0.96

So the exact value of Cos(45° - 60°) is 0.96 using difference of two angles.

3 0
3 years ago
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