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Marta_Voda [28]
3 years ago
11

Someone help I just got new assignments 23,24,25,26,27,28,29, and 30​

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

23: y = -0.4

24: b = -1.8

25: m = 1/2

26: g = 1/4

27: s = 3/2

28: w = -12/5

29: z = 5/4

30: a = -9/5

Step-by-step explanation:

23:

  • 3y + 5.2 = -5y + 2
  • 3y+5.2+5y=-5y+2+5y
  • 8y + 5.2 = 2
  • 8y+5.2-5.2=2-5.2
  • 8y = -3.2
  • \frac{8y}{8} = \frac{-3.2}{8}
  • y = -0.4

24:

  • 10b-2=7b-7.4
  • 10b-2-7b=7b-7.4-7b
  • 3b - 2 = -7.4
  • 3b -2 + 2 = -7.4 + 2
  • 3b = -5.4
  • \frac{3b}{3} = \frac{-5.4}{3}
  • b = -1.8

25:

  • 2m - 2 = 6m - 4
  • 2m-2-6m=6m-4-6m
  • -4m-2=-4
  • -4m-2+2=-4+2
  • -4m = -2
  • \frac{-4m}{-4} = \frac{-2}{-4}
  • m = \frac{1}{2}

26:  

  • 3g+5=7g+4
  • 3g+5-7g=7g+4-7g
  • -4g+5=4
  • -4g + 5 - 5 = 4-5
  • -4g = -1
  • \frac{-4g}{-4} = \frac{-1}{-4}
  • g = \frac{1}{4}

27:

  • 4s-1=-2s+8
  • 4s-1+2s=-2s+8+2s
  • 6s - 1 = 8
  • 6s - 1 + 1 = 8+1
  • 6s = 9
  • \frac{6s}{6} = \frac{9}{6}
  • s = \frac{3}{2}

28:

  • 9w+3=4w-9
  • 9w+3-4w=4w-9-4w
  • 5w + 3=-9
  • 5w + 3 - 3 = -9-3
  • 5w = -12
  • \frac{5w}{5} = \frac{-12}{5}
  • w = \frac{-12}{5}

29:

  • 6z-7=2z-2
  • 6z-7-2z=2z-2-2z
  • 4z -7 = -2
  • 4z-7+7=-2+7
  • 4z = 5
  • \frac{4z}{4} = \frac{5}{4}
  • z = \frac{5}{4}

30:

  • -a+3=4a+12
  • -a+3-4a=4a+12-4a
  • -5a+3=12
  • -5a + 3 - 3 = 12-3
  • -5a = 9
  • \frac{-5a}{-5} = \frac{9}{-5}
  • a = -\frac{9}{5}
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Step-by-step explanation:

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The arc lenght of a circle with radius r and angle \theta is r \theta

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

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0

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

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if f'(c)=0 and f''(c), then f(x) has a local maximum at x = c.

The second derivative is

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Because A''(r)=-2 the largest slice is when r = 6 in.

The diameter of the pizza is given by

D=2r=2\cdot 6=12 \:in

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