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Kobotan [32]
3 years ago
8

Anyone help me out please?

Mathematics
2 answers:
Ilya [14]3 years ago
5 0

Answer:

≈ 52.3

Step-by-step explanation:

You are given the opposite and hypotenuse side, leading you to use sin. However, since you're trying to find the angle measurement, you use the inverse of sin: sin^-1

<em><u>Set it up like this:</u></em>

<em><u /></em>sin^-1(\frac{19}{24}) = ?

<em><u>When you solve, you get:</u></em>

52.34

<em><u>Round to the nearest tenth:</u></em>

52.3

balu736 [363]3 years ago
4 0

Answer:

? ≈ 52.3°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin ? = \frac{opposite}{hypotenuse} = \frac{19}{24} , thus

? = sin^{-1} (\frac{19}{24} ) ≈ 52.3° ( to the nearest tenth )

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This figure represents the base of a fish tank that is 8 inches high.
Igoryamba

The volume of the fish tank is 408 in³

To solve the volume of the fish tank, we need to understand what is the volume of plane shapes.

<h3>What is the volume of plane shapes?</h3>

The volume of plane shapes resembles a 3-dimensional space showing the area enclosed by the shape.

From the figure given:

The figure can be differentiated into two shapes;

  • A rectangle
  • A triangle

The volume of the rectangle is known as:

  • = Length × Breadth
  • = 7 inches × 6 inches
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The volume of the triangle is:

  • = 1/2 × base × height
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The total volume of the base of the fish tank now is:

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Now, the volume of the fish tank is:

  • = Height × base of the fish tank
  • = 8 inches × 51 inches²
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Learn more about the volume of plane shapes here:

brainly.com/question/20475473

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