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Licemer1 [7]
2 years ago
8

Solve for x and y: Thanks for the help!

Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
7 0

Answer:

x = 2

y = 15

Step-by-step explanation:

As the triangle is split with a line that is parallel to the base:

\implies x:6=6:18

\implies \dfrac{x}{6}=\dfrac{6}{18}

\implies x=\dfrac{6\cdot 6}{18}

\implies x=\dfrac{36}{18}

\implies x=2

Similarly:

\implies y:20=6 : (6+x)

\implies y:20=6:8

\implies \dfrac{y}{20}=\dfrac68

\implies y=\dfrac{6 \cdot 20}{8}

\implies y=\dfrac{120}{8}

\implies y=15

Lostsunrise [7]2 years ago
4 0

Answer:

x= 5.18

y= 16.97

Step-by-step explanation:

Solve Y first-

trigonometric theorems-

c^2 =a^2 + b^2\\\\b^2 =c^2 - a^2

y^2 =18^2-6^2 \\y^2 =324 - 36\\y^2= 288\\\sqrt{2} = \sqrt{288} \\ y=16.97

solve x-

20-16.97=3.03

x=5.18

(I'm not sure if the answers are correct. I tried my best. I was confused to solve x though. )

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m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

__

B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

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C. Then the total volume is ...

  V = hemisphere volume + cylinder volume

  V = 261.799 m³ +942.478 m³ = 1204.277 m³

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Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

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As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

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3 years ago
$800 principal earning 7%, compounded annually, after 4 years
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Answer:

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Step-by-step explanation:

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