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:
D). (x, y) --> (0.9x, 0.9y).
Step-by-step explanation:
You multiply each coordinate to create a dilation . To get a smaller image the cinstant of multiplication is less than 1.
So it is D
A) reflect graph over x-axis (minus in front)
e) compress the graph to the x-axis (coefficient 1/2)
f) translate the graph to the right (x-9), minus between x and 9.
4 pairs of pants for $18.
Divide price by quantity to get the cost of 1 pair of pants:
18 / 4 = 4.50 per pair.
Divide 27 by 4.50 to find number of pairs:
27 / 4.5 = 6
6 pairs of pants can be cleaned for $27.
36=90/100 x a; 36=9/10 x a; a= 36/(9/10); a=360/9; a= 40
The Ice Cream shop served 40 customers.
