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weeeeeb [17]
3 years ago
7

The arc length

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

  • s = rθ
  • 2.5 radians
  • 143.24°

Step-by-step explanation:

The applicable formula is ...

  s = rθ

where s is the arc length, r is the circle's radius, and θ is the central angle in radians.

Filling in the given values, we find ...

  15 = 6θ

  θ = 15/6 = 2.5 . . . radians

Pi (π) radians is 180°, so the angle in degrees is ...

  2.5(180°/π) ≈ 143.24°

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A company installs 5,000 light bulbs. the lifetimes of the lightbulbs are approximately normally distributed with a mean of 500
Sergio039 [100]
First, determine the z-score of 675. 
                               z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
                               z = 0. 
Subtracting the z-scores will give us 1.75. This is equal to 0.9599. 
                        = 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
                             n = 0.4599 x 5000 = 2299.5
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5 0
2 years ago
X^2-7x=0 solve the equation​
inn [45]

Answer:

x = 0, 7

Step-by-step explanation:

Step 1: Write out equation

x² - 7x = 0

Step 2: Factor out <em>x</em>

x(x - 7) = 0

Step 3: Find roots

x = 0

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x = 7

6 0
3 years ago
Read 2 more answers
Giving away 33 please help i suck at math
Harman [31]

D. (I used 3.14 as pi so my answer was a little off so I just went with the one closest to my answer)

8 0
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Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

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3 years ago
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I think it’s A. or B.
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