We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
cos β =
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
Answer:
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Step-by-step explanation:
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Answer:
62.77 million gallons
Step-by-step explanation:
Given,
The function that shows rate of leaking oil per minute in after t hours,
∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,
Hence, the quantity of oil leaked out in the first 3 hours,
![=0.7[tan^{-1}(t)]_{0}^{180}](https://tex.z-dn.net/?f=%3D0.7%5Btan%5E%7B-1%7D%28t%29%5D_%7B0%7D%5E%7B180%7D)
= 62.77 million gallons
Answer:
Yes the stand would make a profit, a $25 profit to be exact.
Step-by-step explanation:
the equation is 3n>100+0.50n
if the stand sells 50 then n=50 making it 3(50)>100+0.50(50).
by doing the multiplication then adding you'll get 150>125 since 3×50 is 150 ans 0.50×50 is 25 and you add the 25 to 100.
which means it'll gain $150 and spend $125 on maintaining the stand and for supplies with a $25 left over. It would make a profit
