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Zarrin [17]
2 years ago
5

Alina had 3/5 much money as edna. edna had $32 more than alina. how muuch money would alina have if her mother gave her 1/6 more

of what she had at first?
Mathematics
1 answer:
olga_2 [115]2 years ago
4 0

Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

<h3>What is a fraction?</h3>
  • A fraction is a portion of a whole or, more broadly, any number of equal parts.
  • In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

To find how much money would Alina has if her mother gave her 1/6 more of what she had at first:

Alina has 3/5 much money as Edna.

Edna has $32.

Alina's mother gave her more 1/6 or 3/5.

So, first, we will find 1/6 of 3/5.

  • 3/5 × 1/6 = 3/30

Now, add 3/30 to 3/5.

  • 3/5 + 3/30 = 21/30.

Hence, Alina has 21/30 as much money as Edna.

Then,

  • $32 × 21/30 = $22.4

Therefore, Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

Know more about fractions here:

brainly.com/question/17220365

#SPJ4

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Answer:

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Step-by-step explanation:

The coordinates of the vertices of the triangle are;

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The vectors are;

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y = \left \langle 6 - (-3), 3 - (-5)  \right \rangle = \left \langle 9, 8 \right \rangle

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cos (\alpha ) = \dfrac{z \cdot y}{\left |  z \right | \times \left | y  \right |}

Therefore, we get;

cos (\alpha ) = \dfrac{5 \times 9  + 11 \times 8 }{\left |  \sqrt{5^2 + 11^2}  \right | \times \left | \sqrt{9^2 + 8^2}   \right |} = \dfrac{133}{\sqrt{146} \times \sqrt{145} } \approx 0.91409

α = arccos(0.91490) ≈ 23.92°

γ = The angle between -y and x

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We get;

cos (\gamma) = \dfrac{-y \cdot x}{\left |  -y \right | \times \left | x  \right |}

Therefore;

cos (\gamma) = \dfrac{-9 \times -4  + -8 \times 3 }{\left |  \sqrt{(-9)^2 + (-8)^2}  \right | \times \left | \sqrt{(-4)^2 + 3^2}   \right |} = \dfrac{12}{\sqrt{145} \times \sqrt{25} } \approx 0.199309

γ = arccos(0.199309) ≈ 78.503°

γ ≈ 78.503°

By angle sum property, β = 180° - (α + β)

β ≈ 180° - (23.92° + 78.503°) = 77.577°

β ≈ 77.577°

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