Answer:
1. x= -4
2. x= 18
3. x= -15
4. x = 6
Step-by-step explanation:
Use relationship of angles to create equations and solve for x
Answer: there is 4 digits in the number 0.536
Step-by-step explanation: Remember that the zero counts as a number
The answer is k-20
decreased means to take away/subtract, “k” is being subtracted by 20, therefore k-20
Hope this helps! have a wonderful day!
No, r=3 can’t be a solution to this inequality. If we plug it in we get: 3+4>7 or 7>7 which is false. r should be more than 3.
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
