Answer:
2. 20
Step-by-step explanation:
2. The distance from one base of the prism to the other base of the prism, d = 10 mm
The thickness of each triangle to be used to fill the prism, t = 0.5 mm
The number of triangles needed, <em>n</em>, is therefore;
![n = \dfrac{d}{t}](https://tex.z-dn.net/?f=n%20%3D%20%5Cdfrac%7Bd%7D%7Bt%7D)
Where;
<em>d </em>represents the distance between the bases of the prism, <em>t</em>, represents the thickness of each triangle, and <em>n</em> represents the number of triangles it would take to fill up the prism
Therefore;
![n = \dfrac{10 \, mm}{0.5 \, mm} = 20](https://tex.z-dn.net/?f=n%20%3D%20%5Cdfrac%7B10%20%5C%2C%20mm%7D%7B0.5%20%5C%2C%20mm%7D%20%3D%2020)
The number of triangles it would take to fill up the prism, n = 20
Answer:
d; 151 bracelets
Step-by-step explanation:
to find this out we must divide each number of beads by their matching color amounts
1012 / 5 is 202.4 or 202
998 / 6 is 164.6... or 164
1057 / 7 is 151
151 is the least number out of all of these and in this case you can only make 151 bracelets or else you would run out of white
Answer:
1.
Part A: Yes, it is (a - b)².
Part B: a² - 2ab + b² => (x - 6)² = x² - 12x + 36.
Part C: x² - 12x + 36.
2.
Part A: Not a special product.
Part B: Binomial distribution => (x + 8)(x + 1) = x² + 9x + 8.
Part C: x² + 9x + 8.
3.
Part A: Yes, it is (a + b)²
Part B: a² + 2ab + b² => (3x + 2)² = 9x² + 12x + 4.
Part C: 9x² + 12x + 4.
4.
Part A: Yes, it is (a + b)(a - b), a difference of squares.
Part B: a² - b² => 4x² - 49
Part C: 4x² - 49.
5.
Part A: Not a special product.
Part B: Binomial distribution => (x - 5)(2x - 5) = 2x² - 15x + 25.
Part C: 2x² - 15x + 25.
Answer: 150, 80
Step-by-step explanation:
<span><span>(<span>1−<span>7n</span></span>)</span><span>(5)
</span></span><span>=<span><span>(<span>1+<span>−<span>7n</span></span></span>)</span><span>(5)
</span></span></span><span>=<span><span><span>(1)</span><span>(5)</span></span>+<span><span>(<span>−<span>7n</span></span>)</span><span>(5)
</span></span></span></span><span>=<span>5−<span>35n
</span></span></span><span>=<span><span>−<span>35n</span></span>+<span>5</span></span></span>