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3 years ago

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

2 answers:

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 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 law of sines to find all sides and angles. 

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 correct answer 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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Two angles of a triangle measure 15° and 85°. What is the measure for the third angle

disa [49]

Answer:

15+85+x =180

X=180-15-85

X=8O°

Step-by-step explanation:

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3 years ago

Explain how a number line can be used to find the difference for 34-28?

Vikentia [17]

You could start on 34 on the number line and jump back 28 times to get your answer.

8 0

3 years ago

14.what temperature is 12 degrees lower than -3 celsius

azamat

14. -15 degrees celsius

15.

Girls = 15

Boys = 15 * 3 = 45
Total = 15 + 45 = 60

16. 2(5)^2 + 5 = 2(25) + 5 = 50 + 5 = 55

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3 years ago

What is the equation of the exponential graph shown?

Evgesh-ka [11]

Answer:

f(x) = 100*(1/2)ˣ

Step-by-step explanation:

Exponential function is:

f(x) = a*bˣ

Use two points on the graph to determine the value of a and b:

(0, 100), (1, 50)

Find the values of a and b:

f(0) = a*b⁰ = a = 100
f(1) = a*b¹ = ab = 100b = 50 ⇒ b = 50/100 = 1/2

The function is:

f(x) = 100*(1/2)ˣ

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2 years ago

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Sati [7]

Substituting 1000 for A, we have 1200R+700,000=1,000,000. Subtracting 700,000 from both sides, we have 1200R=300,000. Dividing by 1200, we see that R=250.

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3 years ago