If
then we have
By Fermat's little theorem, if
is not divisible by a prime 
, then
This works for
; in this case, we would have
then we have
By Fermat's little theorem, if
This works for
Bryan has 180 feet of fencing to fence off his rectangular garden. He will use the wall of his house as one side of the garden.W
rite an equation to find the area of the garden. What dimensions create the garden with the greatest area? What is the greatest area?
1 answer:
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Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
The error rate has decreased after changing the painting process.
<u>Step-by-step explanation:</u>
Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.
Number of parts in the random sample=400400400
Number of parts that had an error=606060
We have to determine what percentage of 400400400 is 606060
After changing the painting process 0.15% of parts have error.
The previous percentage was 20.Hence the error rate has clearly changed.