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Ivan
3 years ago
5

Solve the triangle given two angles and one side.

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

_____

The rounding requirement got cut out of your picture, so we can't help you with that.

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IrinaK [193]

Answer: 83 and 97

Step-by-step explanation:

x+x+14=180

2x+14=180

2x=180-14

2x=166

x=83

83+14=97

5 0
2 years ago
If you flip a coin 90 times, how many times would you expect to land on tails?
GarryVolchara [31]

Answer:

It would be expected to land on tails 45 times.

Step-by-step explanation:

If there is a 50% chance to land on tails, about half of the time it would land on heads.

5 0
3 years ago
Pls help i am on a timer
stich3 [128]

Answer:

x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Step-by-step explanation:

Given;

x² - 2x - 1 = 0

Solve by completing the square method;

⇒ take the constant to the right hand side of the equation.

x² - 2x = 1

⇒ take half of coefficient of x = ¹/₂ x -2 = -1

⇒ square half of coefficient of x and add it to the both sides of the equation

x^2 +  (-1)^2 = 1 + (-1)^2

(x-1)^2 = 1 + 1\\\\(x-1)^2 = 2\\\\

⇒ take the square root of both sides;

x-1 = +/- \ \ \sqrt{2} \\\\x = 1 + \sqrt{2} \ \ or \ 1- \sqrt{2}

Therefore, option B is the right solution.

3 0
2 years ago
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent di
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277 squared above the perimeter of the circular building find the markings of both sides
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3 years ago
Question 5
geniusboy [140]

Answer:

\frac{4}{9}

Step-by-step explanation:

To find this probability, we have to know:

  • How many numbers are there in between 5 and 8 inclusive?
  • How many total numbers are there?

We simply divide the first answer by the second one and get our probability.

So, the numbers are 5,6,7,8 ----- that is 4 numbers

How many numbers are there in total?  That is:

0, 1, 2, 3, 4, 5, 6, 7, 8, or 9  ------- 9 numbers

Thus, the probability is 4/9

7 0
3 years ago
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