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iVinArrow [24]
2 years ago
11

What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º

Mathematics
1 answer:
Shtirlitz [24]2 years ago
5 0

The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

Let's suppose the angle m∠Q is A

So applying law of cosine:

\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA

CosA = 0.859

A = 30.75 ≈ 30.8 degree

Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

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Step-by-step explanation:

5v - 5 < 5

Add 5 on both sides

5v - 5 + 5 < 5 + 5

5v < 10

Divide by 5 on both sides

V < 2

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malfutka [58]
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3 years ago
What is the distance between the following coordinates? Show work.
miss Akunina [59]

Answer:

\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}}  \:  \: \text{units} } }

<h3>♁ Question :</h3>
  • Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

  • Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
  • Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

\boxed{ \underline{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}}

Substitute the actual value of the points into the distance formula and then simplify.

\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} +  {(4 - ( - 6))}^{2}  } }}

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(4 - ( - 6))}^{2} } }}

Remember : ( - ) × ( - ) = ( + )

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} +  {(4 + 6)}^{2}  } }}

Add the numbers : 4 and 6

\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(10)}^{2} } }}

Evaluate the power

\longrightarrow{ \sf{ \sqrt{4 + 100}}}

Add the numbers : 4 and 100

\dashrightarrow{ \sf{ \sqrt{104}}}

\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}} units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is \sf{2 \sqrt{26}} units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

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3 years ago
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Answer and Step-by-step explanation:

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7 0
3 years ago
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3. What is the volume of this complex figure?<br> 4 m<br> 4 m<br> 3 m<br> 7 m<br> 6 m
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The volume of the complex figure shown in the diagram is 56 m³.

<h3>Volume</h3>

Volume is  the amount of space occupied by a three dimensional object.

Volume = length * breadth * width

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The volume of the small cube cut out = length * breadth * width = 4 * 7 * (4 - 3) = 28 m³

Volume of the complex figure = 84 m³ - 28 m³ = 56 m³

The volume of the complex figure shown in the diagram is 56 m³.

Find out more on Volume at: brainly.com/question/1972490

5 0
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