The volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.
<h3>What is a triangular prism?</h3>
A triangular prism is simply a three-dimensional solid with three rectangular sides and two triangular bases.
The volume of an equilateral triangular prism is expressed as;
V = (√3/4) × a² × h
Given the data in the question;
We substitute our values into the equation above.
V = (√3/4) × a² × h
V = (√3/4) × (8cm)² × 11.2cm
V = (√3/4) × 64cm² × 11.2cm
V = 310.38cm³
Therefore, the volume of the triangular prism with the given height and base dimensions to the nearest hundredth is 310.38cm³.
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This is the transitional word or phrase that most effectively introduces the evidence in the sentence:
For example,
<h3>What are transitional words?</h3>
Transitional words or phrases are indeed words or phrases that link one idea to the other. These type of words are very important because they give texts coherence and fluency.
In this exercise, "For example," is the transtitional phrase that allows you to continue with a specific explanation of the evidence in the text.
I was able to find the complete instructions for the exercise online and these were the other options:
- (As it is now)
- Earlier,
- Therefore,
- Elsewhere,
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The resultant displacement that John Traveled is; 5 meters
<h3>How to find the displacement?</h3>
We are told that;
- He walked 3 meters north
- Then he walked 4 meters east
Distance is defined as the total movement of an object without any regard to direction. Whereas, Displacement is defined as the change in position of an object.
Thus, distance would have been 3 + 4 = 7 m. However, we are dealing with direction here as regards displacement and as such this will be gotten by Pythagoras theorem.
Displacement = √(3² + 4²)
Displacement = 5 meters
Complete question is;
John walks 3 m north and then 4 m east. What is the resultant displacement?
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Answer:
Innate
Explanation:
Innate best fits the answer because the cardinal uses the ability to find worms, thus, the cardinal was born with this ability- making it natural. Therefore, Innate would be the best choice.
