Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
Answer:
<em>64 ; 8</em>
Step-by-step explanation:
a² ± 2ab + b² = (a ± b)²
x² + 2(8)(x) + 8² =
x² + 16x + <em>64</em> =
(x + <em>8</em>)²
I believe the answer is 25.
Twenty-five is perfectly divisible by 5
If you divide it by 2,3, or 4 there is one left over.
So twenty-five is a reasonable answer
Lets review the options one by one:
X A.) The question says the y must be <u>less than</u> 100, not less than or equal to.
X B.) The y becomes 0, but 0 is neutral, not a positive number.
X C.) The height must be positive at all times, according to the range given.
√ D.) The given graph contains a max with a positive number under 100.
Therefore, the correct answer choice would be Option D (4).
<em>Hope this helps! :)</em>
