Answer:
Step-by-step explanation:
Given
See attachment
Required
Determine the surface area
The figure is made up of two cuboids and the surface area of a cuboid is:
Because the bottom part of the upper piece is not visible, the area is calculated as:
This gives:
For the bottom piece:
We calculate its area as . However, the area of the invisible part will be subtracted.
So, we have:
The total surface area is:
<h2>
Explanation:</h2>
The commutative property of addition states that:
So applying this property to our expression we have:
<h2>Learn more:</h2>
Evaluating expression: brainly.com/question/14423698#
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4x^2 is the greatest commonly factor for these exponents.
Hope this helps you! :)
Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>
The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>
The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
The unit rate is 3 apples per minute
Step-by-step explanation:
Unit rate will be calculated by dividing the total number of apples by the time
Given
Total number of apples = 15
Time = 5 min
So, The unit rate will be:
Hence,
The unit rate is 3 apples per minute
Keywords: Unit rate, Division
Learn more about unit rate at:
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