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borishaifa [10]
3 years ago
5

Find B round to the nearest tenth!!!! laws of cosines!!!!​

Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Answer:

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

   -7,575 = -(9000)Cos B   (subtract 8100 and 2500 from both sides)    

            0.841666667 = Cos B    (divide both sides by -9000)

       Cos^(-1) 0.841666667 = B  (use cosine inverse function on calculator)

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Which of the following is the minimum value of the equation y = 3x^2 − 4x − 2?
KonstantinChe [14]

Answer:

-3 1/3

Step-by-step explanation:

The quadratic

... y = ax² +bx +c

has its extreme value at

... x = -b/(2a)

Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.

To find the minimum value, we need to evaluate the function for x=2/3.

The most straightforward way to do this is to substitue 2/3 for x.

... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2

... y = (4 -8 -6)/3 = -10/3

... y = -3 1/3

_____

<em>Confirmation</em>

You can also use a graphing calculator to show you the minimum.

5 0
3 years ago
Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

8 0
3 years ago
Streak
Monica [59]

Answer: Not 100% sure but this is what I think.

-4/5

Step-by-step explanation:

(5, -1) (15, −9)

1Y - 2Y / 1X - 2X = SLOPE

-1 + 9 / 5 - 15 = 8/-10 = -8/10 = -4/5

7 0
2 years ago
Simplify: (3²-4)/5 <br>A. 1 <br>B. 1.25 <br>C. 1/5 <br>D. 5​
Nikitich [7]

Answer:

A is the correct answer

Step-by-step explanation:

(9 -4)/ 5

5/5

=1

7 0
3 years ago
Read 2 more answers
What the answer now question
sergejj [24]

Answer:

69 is your answer

Step-by-step explanation:

Have a wonderful day and good luck on you're test!

3 0
3 years ago
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