Answer:
-18/3
Step-by-step explanation:
<h2>Answer :</h2>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
<h2>Step-by-step explanation :</h2><h3>
Known :</h3>
- George can only cook one thing at a time
- Turkey takes 90 minutes to cook
- Pumpkin pie takes 20 minutes to cook
- Rolls take 60 seconds to cook
- A cup of coffee takes 45 seconds to heat
<h3>Asked :</h3>
- Time needed to cook the meal
- Time he need to start in order to complete the cooking at 4 P.M.
<h3>Completion :</h3>
Let's convert all the seconds to minutes. We know that 60 seconds is equal to one minute. So,
60 seconds = 1 minutes
45 seconds = 45/60 minutes = 0.75 minutes
Time needed = Turkey + Pumpkin pie + Rolls + Coffee
Time needed = 90 + 20 + 1 + 0.75
Time needed = 111.75 minutes
Then, we'll calculate the time he need to start in order to complete the cooking at 4 P.M. First, let's convert the minutes to clock format.
111.75 minutes = 1 hour and 51.75 minutes
111.75 minutes = 1 hour and 51 minutes and 45 seconds
Lastly, calculate the time he need to start in order to complete the cooking at 4 P.M.
4h 0m 0s - 1h 51m 45s = 2h 8m 15s
<h3>Conclusion :</h3>
- He need 111.75 minutes to cook the meal
- He need to start at 2.08.15 P.M. in order to complete the cooking at 4 P.M.
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
A rational expression is undefined when the denominator is zero.
is undefined when x=0 or x=2.
Since there are 21 questions and one is extra credit, the fraction is 21/20. Divide it to get 1.05. In percent, this is 105%. Hope this helps!
