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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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I need number 2 I need help fast
Semmy [17]

Answer:

B. 70

Step-by-step explanation:

<h3><u>look at the smaller triangle</u></h3>

its dimensions are :

45 , 35 , 24

<h3><u>look at the bigger triangle ( this includes the dimensions of the smaller one)</u></h3>

its dimensions are :

45 + 45 ,  x , 24 + 24

= 90 , x  , 48

from the dimensions given we can notice that :

<em>bigger triangle dimensions are  = 2 * smaller triangle dimensions</em>

<em></em>

therefore to find the value of x :

x = 35 * 2

<h3><u>x = 70</u></h3>

<u />

<h3><u>hence the answer is B ) 70 </u></h3>
4 0
3 years ago
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
Taya2010 [7]

Answer:

10x+12y=300

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Convert each mixed number to an improper fraction
Pani-rosa [81]

Answer:

43/8

Step-by-step explanation:

5 x 8 = 40

40 + 3 =43

6 0
3 years ago
Which of the following accurately shows the range of the function defined below?
il63 [147K]

Answer: The answer is (b) (2, ∞)

Step-by-step explanation:  We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.

\textup{For }x < 0, \textup{we have}~f(x)=3.

\textup{For }0\leq x

\textup{For }x\geq 2,\textup{ we have }f(x)=\dfrac{1}{2}x+5\geq 5.

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

7 0
3 years ago
Read 2 more answers
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sesenic [268]

Answer:

line of reflection was across the -2 line on the x-axis

Step-by-step explanation:

the y points on all of the given points are the same distance from each other to the -2 line. (ie. (-5,2) and (-5,-6) = the 2 is 4 places away from -2 and -6 is 4 places away from -2.) making the reflection point -2 because it is the halfway point for all y values. It is on the x-axis because it is said it is a horizontal line. If it was vertical it would be on the y-axis.

3 0
2 years ago
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