Answer:
Step-by-step explanation:
![\displaystyle a^2 + 2a\sqrt{\frac{a^2}{4} + h^2} = S.A. \\ \\ 14^2 + 2[14]\sqrt{\frac{14^2}{4} + 19^2} = S.A. \\ \\ 196 + 28\sqrt{\frac{196}{4} + 361} ≈ 762,9567885 ≈ 762,96](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%202a%5Csqrt%7B%5Cfrac%7Ba%5E2%7D%7B4%7D%20%2B%20h%5E2%7D%20%3D%20S.A.%20%5C%5C%20%5C%5C%20%2014%5E2%20%2B%202%5B14%5D%5Csqrt%7B%5Cfrac%7B14%5E2%7D%7B4%7D%20%2B%2019%5E2%7D%20%3D%20S.A.%20%5C%5C%20%5C%5C%20196%20%2B%2028%5Csqrt%7B%5Cfrac%7B196%7D%7B4%7D%20%2B%20361%7D%20%E2%89%88%20762%2C9567885%20%E2%89%88%20762%2C96)
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Answer:
6/25
Step-by-step explanation:
<span>#1
Factoring the function:</span>
<span>f(x) = x3 + 7x2 + 14x + 8
f(x) = (x + 4) (x + 1) (x + 2)
From the options, (x + 2) is the factor
#2
f(x) / g(x) = (</span>6x3 - 19x2 + 16x - 4) / (x - 2)
This can be solved by factoring the numerator, by synthetic division or using the remainder theorem.
The result is:
6x^2 - 7x + 2 or (x - 2/3)(x - 1/2)
#3 same with #2
#4
(x3 - 5x2 + 2x + 5) / (x - 2)
Again, this can be solved by a number of methods, the result is:
x2 -3x - 4 - (3/x-2)
Answer: B.
Explanation:
Consider any right triangle that has both its legs of same length. In this case both the other two angles would be 45 degrees each. Now, if both its legs are considered of unit length, then hypotenuse would be of length √2.
The cos 45 = 1/√ 2 = √ 2/2
Hope this helped! :)
