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Mkey [24]
2 years ago
10

A man goes 24m due west and then 7m due north. How far is he from the starting point?

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

C. 25m

Step-by-step explanation:

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Nataliya [291]

Answer:

c and d

Step-by-step explanation:

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5 0
3 years ago
The simple interest on $600 saved for 3 years at an interest rate of 6 percent. Find the interest
saul85 [17]

Answer:

interest = $108

Step-by-step explanation:

interest = p * r * t

interest = 600*0.06*3

<u>interest = $108</u>

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3 years ago
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Read 2 more answers
Help me with these math questions.
Olegator [25]

graph A

no x-intercept

no y-intercept

H.A is y = 5

V. A. is x = 0

*****************************************

Answer: \frac{150}{31}

<u>Step by step explanation:</u>

log₆(5x + 6) - log₆(x - 4) = 2

log₆(\frac{5x+6}{x-4}) = 2

(\frac{5x+6}{x-4}) = 6²

(\frac{5x+6}{x-4}) = 36

5x + 6 = 36(x - 4)

5x + 6 = 36x - 144

       6 = 31x - 144

    150 = 31x

     \frac{150}{31} = x

**********************************************************

Answers:

  • a. (-1, -5)
  • b. up
  • c. x = -1
  • d. \frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}
  • e. -2
  • f. see attachment
  • g. domain (-∞, ∞)  range [-5, ∞)

<u>Explanation:</u>

f(x) = 3x² + 6x - 2

      a=3  b=6 c=-2

x = \frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1

Axis Of Symmetry: x = -1

f(-1) = 3(-1)² + 6(-1) - 2

       = 3 - 6 - 2

       = -5

Vertex: (-1, -5)

x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}

  = \frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}

  = \frac{-6+/-\sqrt{36+24}}{6}

  = \frac{-6+/-\sqrt{60}}{6}

  = \frac{-6+/-2\sqrt{15}}{6}

  = \frac{-2+/-\sqrt{15}}{3}

x-intercepts: \frac{-2+/-\sqrt{15}}{3}



6 0
3 years ago
Gustavo ha forrado una pared de 12,5 m cuadrados con 50 paneles cuadrados iguales de madera ¿ Cuantos decímetros cuadrados mide
Stella [2.4K]

Answer:

25 dm²

Step-by-step explanation:

La superficie de nuestra pared tiene 12.5 m²

Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel

12.5 m² /50 = 0.25 m²

Sabemos que la superficie de un cuadrado se calcula como l²

Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²

Esa es la medida de cada papel.

Si calculamos la medida de cada lado será:

√ (25 dm²) = 5 dm

En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie

Si convertimos a m² = 0.25 m²

0.25 m² es la medida que cubre 1 panel de papel

para cubrir 12.5 m² necesitariamos (12.5  . 1) /0.25 = 50 paneles.

3 0
3 years ago
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