The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)
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If s is the side of the square base, the area of the square base is s^2. The volume of the square base is, V = (s²) (h) s² = V/h s² = 3n³ + 13n² + 16n + 4 / 3n + 1 You can do this division by factoring, synthetic division, or by plain division. Factoring out 3n + 1 from the numerator gives you: s² = (3n + 1)(n² + 4n + 4) / 3n+1 s² = n² + 4n + 4
Therefore, the area of the square base is n² + 4n + 4.
3 and a Half cubes of sand transported at once. How many times do vehicle travel to transport 28 sand cubes.
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Answer:
8 times
Step-by-step explanation:
28/3.5 = 8
Write __ as a fraction 0.17
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A. is the correct answer
Step-by-step explanation:
Marc is looking at the plans for his new garage. the length of the garage is 8 metres. the scale on the drawing is 1:50. what will the length of the garage be on the drawing?
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The answer is 16 cm (or 0.16 m).
The scale is the ratio of the model to the real thing. So, in the scale 1:50, the model is 1, while the real thing is 50. Now, just make a proportion: the model : the real thing = the model dimension : the real thing dimension 1 : 50 = x : 8m
From here: x = 8m * 1 / 50 = 0.16 m = 0.16 * 100 cm = 16 cm.
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
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How could you change exercise 5 so that your rule uses the inverse operation?
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In order to answer that question, I would absolutely have to see exercise 5. (So would you.)