Answer:
integers ∪ [0, ∞)
Step-by-step explanation:
The floor function gives the largest integer not greater than the input value. For non-negative numbers, that is the integer portion of the number, as Jim says.
However, for negative numbers, the floor is one less than the integer portion of any number that has a non-zero fractional part.
floor(1.2) = 1
floor(0.2) = 0
floor(-0.2) = -1
floor(-1.2) = -2
For any integer, negative or otherwise, the floor function gives that integer value.
Jim is correct on the domain of all integers and positive non-integers.
Answer and Step-by-step explanation:
is pi, or 3.14159
The absolute value of -4 ( |-4| ) is 4.
These numbers should go in this order:
-10 < 0.121212... <
< |-4| < 
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Answer: approximately <u>188.07</u> feet
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Explanation:
Refer to the diagram below. Note that the 62 degree angle is from the fact that 90-28 = 62.
With the reference angle 62 degrees in mind, we have an unknown opposite side x feet and a known adjacent side 100 feet.
Use the tangent trig ratio to tie the two sides together, and then solve for x.
tan(angle) = opposite/adjacent
tan(62) = x/100
100*tan(62) = x
x = 100*tan(62)
x = 188.072646534633 approximately
x = 188.07 feet approximately
Your calculator needs to be in degree mode. One way to check is to compute something like tan(45) and the result should be 1.
Answer:
Mixed number -45 39/40
Step-by-step explanation:
-45.975
(area of square) - (area of triangle)
We know the are of a square is equal to s^2, where s is the side length.
While the are of a right angle tringle is 1/2*base*height
Then we have,
s = 10
base = 4
height = 4
(area of square) - (area of triangle)
=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92
Finally we get: 92 in^2