Answer:
h = 2.82 cm
Step-by-step explanation:
![surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm](https://tex.z-dn.net/?f=surface%20area%20%3D%202%20%5Cpi%20R%5E%7B2%7D%20%2B%202%20%5Cpi%20R%20h%5C%5C1000%20%3D%202%20%5Cpi%20%2816h%5E%7B2%7D%20%29%20%2B%202%20%5Cpi%20%284h%5E%7B2%7D%20%29%5C%5C1000%20%3D%2032%20%5Cpi%20h%5E%7B2%7D%20%2B%208%5Cpi%20h%5E%7B2%7D%20%5C%5C1000%20%3D%2040%20%5Cpi%20h%5E%7B2%7D%20%5C%5C25%20%3D%20%5Cpi%20h%5E%7B2%7D%20%5C%5C%5C%5Ch%20%3D%20%5Csqrt%7B%5Cfrac%7B25%7D%7B%5Cpi%7D%20%7D%20%3D%202.82%20cm)
Answer:
150.72 cm^2
Step-by-step explanation:
The blue area has an angle of 120 degrees, and 120/360 = 1/3, which shows that the blue area is 1/3 of the circle. In that case, the blue area is just 144pi/3. That simplifies to 48 pi.
48*3.14 = 150.72
Answer:
A. The value of n can be any positive integer resulting in the same factor
Step-by-step explanation:
Given
--- the right expression
![n > 0](https://tex.z-dn.net/?f=n%20%3E%200)
Required
Possible values of n
![x^2 + 2xn + n^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2)
Expand
![x^2 + 2xn + n^2 = x^2 + xn+xn + n^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20x%5E2%20%2B%20xn%2Bxn%20%2B%20n%5E2)
Factorize
![x^2 + 2xn + n^2 = x(x + n)+n(x + n)](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20x%28x%20%2B%20n%29%2Bn%28x%20%2B%20n%29)
Factor out ![x + n](https://tex.z-dn.net/?f=x%20%2B%20n)
![x^2 + 2xn + n^2 = (x + n)(x + n)](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20%28x%20%2B%20n%29%28x%20%2B%20n%29)
<em>From the expression above, we can see that the result has the same factor. This means that options (b), (d) and (e) are not possible</em>
<em></em>
![x^2 + 2xn + n^2 = (x + n)^2](https://tex.z-dn.net/?f=x%5E2%20%2B%202xn%20%2B%20n%5E2%20%3D%20%28x%20%2B%20n%29%5E2)
The above also shows that n can take any positive value.
<em>Hence: (a) is correct</em>
Answer: If its a 12 oz can the answer should be 354 mm or 354.82 mm to be exact
Step-by-step explanation:
That's the correct answer.
Its 55-24. angle dab- angle cab