They can make 2880 bagels in 16 hours.
The hourly rate is 180 bagels.
EXPLANATION
To solve the amount of bagels in 16 hours, we must divide 16 by 2 to work out that you need to times the amount of bagels every 2 hours by 8. This gives us 2880 bagels made over 16 hours.
To find the hourly rate, we need to divide 360 by 2 (just like we would the 2 hours to get to one hour) to give us an answer of 180 bagels per hour.
Hope this helps!
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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