Hope this helps! I filled it out below.
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer:
532.52
Step-by-step explanation:
P 2(10-inch pizza)=407*3.72-358*0.49=1514.04-175.42=1339.62
P2(12-inch pizza)=169*5.26-142*0.04=888.94-5.68=883.26
P=1339.62+883.26=2222.88
2222.88-1690.36=532.52
Given:
Customers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick.
Required:
We have to write an equation to model the given expression.
Explanation:
Let the total cost be y,
And x denotes the amount in pounds of blueberries.
Since, Given to enter the patch customers pay $5 (fixed)
and Given the customers pay $4 per pound for the blueberries they pick so for x pounds of blueberries cost 4x
Thus, total cost y = 4x + 5
Thus, Option (a) is correct.
Answer
Thus, Option (a) is correct.
The answer is 4
So the ratio would be 12/4
Then u simplify into 4/1 ( I divided each number by 4)