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Monica [59]
3 years ago
11

Convert each measure to degrees. Round answers to the nearest hundredth if needed. a.) π/9 b.)−2π/3

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
To convert an angle from units of radians to the units of degrees, we need a conversion factor to multiply. From what I've learned, we just have to multiply the value 180°/<span>π. We convert as follows:

</span>a.) π/9 (180°/π) = 20°<span>


b.)−2π/3</span>(180°/π)  = -120°
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Suppose that the function f is defined, for all real numbers, as follows.
Veseljchak [2.6K]

The solutions of the function are:

  • When f(x) = -4, the solution is -4
  • When f(x) = -2, the solution is -5/2
  • When f(x) = 0, the solution is -1

<h3>How to solve for the equation </h3>

The equation is given as

\frac{3}{4} x-1\\\\

When x = -4

3/4 * -4 -1

= -12/4 - 1

= -4

When x = -2

3/4*(-4) - 1

= -6/4 - 1/1

Take the lcm

-10/4

= -5/2

When x = 0

3/4(0) - 1

= -1

When f(x) = -4, the solution is -4

When f(x) = -2, the solution is -5/2

When f(x) = 0, the solution is -1

Read more on real numbers here:

brainly.com/question/155227

#SPJ1

6 0
2 years ago
Which pair of angles are vertical angles?
RUDIKE [14]
The answer is C because the angle equal each other.

5 0
3 years ago
Read 2 more answers
Please help I dont understand ​
Studentka2010 [4]

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

7 0
3 years ago
Restless Leg Syndrome and Fibromyalgia
mixas84 [53]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}\\\\=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=0.183333\\\\\approx 0.1833

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

6 0
3 years ago
Study the following frequency distribution table.
m_a_m_a [10]

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

Σf = 4 + 4 + 6 + 5 + 6 = 25

Mean = 18.8

18.8 = (458+6f) ÷ 25

458 + 6f = 25 × 18.8 = 470

6f = 470 - 458 = 12

f = (12/6) = 2

Hope this Helps!!!

6 0
3 years ago
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