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Alecsey [184]
3 years ago
8

Which of the following is a key element in the proof of the law of cosines?

Mathematics
2 answers:
Mariulka [41]3 years ago
4 0
The best and most correct answer among the choices provided by the question is the fourth choice "d=square root of (x^2+x^1)+(y^2-y^1)^2"
The law of cosines<span> for calculating one side of a triangle when the angle opposite and the other two sides are known. Can be used in conjunction with the </span>law<span> of sines to find all sides and angles. </span>

I hope my answer has come to your help. God bless and have a nice day ahead!
Vikentia [17]3 years ago
4 0

The <em><u>correct answer</u></em> is:

D) d=√((x+x¹)+(y²-y¹)² )

Explanation:

The distance formula is a key component to the proof of the law of cosines.

First we define sin θ = y/b and cos θ = x/b, using the standard law of cosines diagram.

We then use the distance formula, replacing the second y coordinate with 0 and the second x coordinate with a.

We then substitute our values for sin θ and cos θ, square them and simplify.

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In ATUV, the measure of V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure
luda_lava [24]

Answer:73

Step-by-step explanation:

7 0
3 years ago
Write the following expression using the fewest possible terms.<br><br> (−2x − 13) + (19 + 5x)
MakcuM [25]

The rewritten form of the given expression using the fewest terms is; 3x + 6.

<h3>What is the rewritten form of.the expression using the least possible terms?</h3>

It follows from the task content that the given expression is to be rewritten using the fewest terms.

Since the given expression is;

( −2x − 13 ) + ( 19 + 5x )

By getting rid of the parentheses; we have;

-2x - 13 + 19 + 5x

By collecting like terms; we have;

-2x + 5x - 13 + 19

3x + 6

Therefore, the required rewritten form of the given expression is; 3x + 6.

Read more on rewritten form of expressions;

brainly.com/question/28757930

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8 0
1 year ago
Ten times the square of a non-zero number is equal to fifty times the number. what is the number?
lys-0071 [83]
10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer
4 0
3 years ago
2x + 7 =30, x = 3 true or false
RSB [31]

Answer:

False

Step-by-step explanation:

2x+7=30

2x=23

X= 23/2 or 11.5

X does not equal 3, therefore the statement is false

6 0
3 years ago
Read 2 more answers
Solve this query plzzz​
Olin [163]

Step-by-step explanation:

\frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   = \tan \:A \\  \\ LHS =  \frac{\sin \:4A}{\cos \:2A}  \times \frac{1 - \cos \:2A}{1 - \cos\:4A}   \\  \\  =  \frac{2\sin \:2A.\cos \:2A}{\cos \:2A}   \times  \frac{1 - (2 { \cos}^{2}A - 1) }{1 - (2 { \cos}^{2}2A - 1) } \\  \\  = 2\sin \:2A   \times  \frac{1 - 2 { \cos}^{2}A  +  1}{1 - 2 { \cos}^{2}2A  + 1 } \\  \\  = 2\sin \:2A   \times  \frac{2- 2 { \cos}^{2}A  }{2 - 2 { \cos}^{2}2A   } \\  \\   = 2\sin \:2A   \times  \frac{2(1 - { \cos}^{2}A)  }{2 (1-  { \cos}^{2}2A)   } \\  \\   = 2\sin \:2A   \times  \frac{1 - { \cos}^{2}A}{1-  { \cos}^{2}2A   } \\  \\     = 2\sin \:2A   \times  \frac{ { \sin}^{2}A}{{ \sin}^{2}2A   } \\  \\    = 2  \times  \frac{ { \sin}^{2}A}{{ \sin}2A   } \\  \\   = 2  \times  \frac{ { \sin}^{2}A}{{ 2\sin}A. \cos \:   A } \\  \\   = \frac{ { \sin}A}{ \cos \:   A }  \\  \\  = tan \: A \\  \\  = RHS \\

7 0
3 years ago
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