In a bag there are 4 purple marbles, 3 green marbles, and 10 yellow marbles. If a student draws one marble what is the sample sp
2 answers:
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Answer:
≈ 50.7 cm²
Step-by-step explanation:
The area (A) of Δ XYZ is calculated as
A = bh ( b is the base and h the perpendicular height ), that is
A = × XY × YZ
Calculate YZ using the tangent ratio in the right triangle
tan40° = =
=
( multiply both sides by 11 )
11 × tan40° = x , that is
YZ ≈ 9.23 cm
Thus
A = × 11 × 9.23 = 5.5 × 9.23 ≈ 50.7 cm² ( to 3 significant figures )
Answer:
The limit of the function does not exists.
Step-by-step explanation:
From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.
For x<2
The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.
For x>2
The value of y is 1 at x=2, because of he close circles on (2,1).
For x=2
Therefore the graph represents a piecewise function, which is defined as
The limit of a function exist at a point a if the left hand limit and right hand limit are equal.
The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.
Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.