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2 years ago

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

Mathematics

1 answer:

Igoryamba2 years ago

7 0

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
= 42 inches²

The volume of the triangle is:

= 1/2 × base × height
= 1/2 × 3 × 6
= 9 inches²

The total volume of the base of the fish tank now is:

= 42 inches² + 9 inches²
= 51 inches²

Now, the volume of the fish tank is:

= Height × base of the fish tank
= 8 inches × 51 inches²
= 408 in³

Learn more about the volume of plane shapes here:

brainly.com/question/20475473

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1-b cuz its describing numbers
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5-d
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3 years ago

Ryan has 9 lollipops and 5 chocolate bars. What is the ratio of lollipops to chocolate bars?

anzhelika [568]

Answer:

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Step-by-step explanation:

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3 years ago

Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3

Papessa [141]

Answer:

The cost of

A small bucket = x = $8

A Larger bucket = y = $13

Step-by-step explanation:

Let the cost of

A small bucket = x

A Larger bucket = y

Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.

3x + 14y = 206... Equation 1

Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.

11x + 11y = 231.... Equation 2

What is the cost for a small bucket and a large bucket of popcorn?

3x + 14y = 206... Equation 1

11x + 11y = 231 ....... Equation 2

We solve using Elimination method

Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x

33x + 154y = 2266.... Equation 3

33x + 33y = 693....... Equation 4

We subtract Equation 4 from Equation 3

121y = 1573

y = 1573/121

y = $13

Solving for x

3x + 14y = 206... Equation 1

3x + 14 × 13 = 206

3x + 182 = 206

3x = 206 - 182

3x = 24

x = 24/3

x = $8

Hence, the cost of

A small bucket = x = $8

A Larger bucket = y = $13

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2 years ago

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ... Describe the sequence you see. What about the mul

labwork [276]

Given:

The multiples of 2 form a sequence as follows: 2, 4, 6, 8, 10, 12, 14, 16, ...

To find:

Description of the sequence you see. What about the multiples of three? Four? Five?

Solution:

The multiples of 2 form a sequence as follows:

2, 4, 6, 8, 10, 12, 14, 16, ...

It is defined as $a_n=2n$ , where n is a natural number. It represents all positive even numbers.

Multiples of 3, 4 and 5 form the respective sequences:

$a_n=3n$ , i.e., 3, 6, 9, 12, 15, 18, 21, 24,...

$a_n=4n$ , i.e., 4, 8, 12, 16, 20, 24, 28, 32...

$a_n=5n$ , i.e., 5, 10, 15, 20, 25, 30, 35, 40...

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2 years ago