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Solnce55 [7]
3 years ago
15

Directions:Simplify the following monomials.SHOW ALL STEPS!

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

1) \frac{y^4}{y^2}

  • y^{4-2}
  • y^2

_________

2) \frac{k^{6} }{k^{6} }

  • 6-6
  • 1

_________

3)\frac{x^{4} y^{5} }{x^{3} y^{2} }

  • \frac{x^4y^5}{x^3y^2}
  • \frac{x^{4} }{x^{3} } =x
  • \frac{xy^5}{y^2}
  • \frac{y^{5} }{y^{2}} =y^{3}
  • xy^3

___________

4)\frac{mn^3}{n^2}

  • mn^{3-2}
  • mn^1
  • mn

___________

5) \frac{15a^3}{3a}

  • \frac{3\cdot \:5a^3}{3a}
  • \frac{5a^3}{a}
  • 5a^2

__________

6)\frac{8x^5y^4}{\:4x^2y^2}

  • \frac{4\cdot \:2x^5y^4}{4x^2y^2}
  • \frac{2x^5y^4}{x^2y^2}
  • \frac{x^{5} }{x^{2} }=x^{3}
  • \frac{2x^3y^4}{y^2}
  • \frac{y^{4} }{y^{2}}=y^{2}
  • 2x^3y^2

____________

OAmalOHopeO

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ABD = ABC + CBD
So 6x + 27 + 7x - 9 = 96
Now we need to isolate x
13x + 18 = 96
13x = 88
x = 6
And then apply x to the angle we need to find ( CBD )
CBD = 6x + 27
CBD = 6(6) + 27
CBD = 36 + 27 = 63
Angle CBD = 63°

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4 years ago
Matt runs 2 4/5 miles a day at 10 minutes per mile. How many minutes does he run in 7 days?
spin [16.1K]

Answer:

196 minutes

Step-by-step explanation:]

2x10 is 20 and if you divide 5/10 its 2 so the 4 in 4/5 is the total of 8 because 10 would mean 5/5 and 20+8=28 so 28x7 is 196

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Answer:

\sf x  = 4\sqrt{2}

Given:

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  • hypotenuse: x cm
  • angle: 45°

<u>using cosine rule:</u>

\sf cos(x)  = \dfrac{adjacent}{hypotenuse}

\sf cos(45)  = \dfrac{4}{x}

\sf x  = \dfrac{4}{cos(45)}

\sf x  = 4\sqrt{2}

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