Write the set of all real numbers except 100 in set builder notation. PLEASE ANSWER FAST
1 answer:
Answer:
See below.
Step-by-step explanation:
The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:
The very first x represents the variable.
The second with the R represents the number. Here, we want all real numbers.
And the third is the constraint. We want all real numbers except for 100.
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Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
