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Monica [59]
2 years ago
7

(Giving brainliest and 40 points)

Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer:

1360 m³

Step-by-step explanation:

To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).

In this figure, we can see two cuboids forming the figure. Therefore,

⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)

The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.

⇒ V (Cuboid) = L × (W × H)   or   L × W × H

Therefore, the volume of cuboid₁ is;

⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)

When we substitute the dimensions of the cuboid₁ , we get;

⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)

Which when simplified, we get;

⇒ V (Figure) = [880] + V (Cuboid₂)

The same should be done to cuboid₂. Therefore,

⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]

When we substitute the measures in the equation, we get;

⇒ V (Figure) = [880] + [8 × 5 × 12]

Which when simplified, we get;

⇒ V (Figure) = [880] + [40 × 12]

⇒ V (Figure) = [880] + [480]

⇒ V (Figure) = 1360 m³

Therefore, the volume of the figure is 1360 m³.

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Answer:

11,67

Step-by-step explanation:

In the order to get the answer, we need to get the right measurements. That is turn the cm into m or 60 cm to 0,6 m because 1 cm is 0.01m. How many cupboards in a kitchen that is 4,2 m long? To get the answer just divide 4,2 m with 0,6 m, and that is 11,67 cupboards in a 4,2 m long kitchen.

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Yes (x-2) is a factor. There is a remainder.

Step-by-step explanation:

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Step-by-step explanation:

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Write each number as a logarithm with base 2:-3
expeople1 [14]

The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)

<h3>What are logarithms?</h3>

As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms

<h3>How to rewrite the number as a logarithm?</h3>

The number is given as:

x = -3

The base of the logarithm is given as:

Base = 2

To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2

This is represented as:

Number =2^-3

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Evaluate the exponent

Number = 1/8

Evaluate the quotient

Number = 0.125

Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)

Read more about logarithm at:

brainly.com/question/20785664

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