Answer:
3 + is irrational, as
is an irrational number in itself, not being able to change into a fraction as it is a non-terminated number.
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For A-D, choose Yes or No to indicate whether the number is between 4 and 5.
2 answers:
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The ideal radius Alan must control is cm.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.
Given data -
Perimeter of circular plate = 10 cm
We know that perimeter of a circle is 2r
Therefore 10 = 2
r
r = 5 cm
The given error Alan can make is +-1 cm.
Minimum radius is given by
2r = 10
- 1
r =
r = 5 -
Maximum radius is given by
2r = 10
+ 1
r =
r = 5 +
The ideal radius Alan must control is cm.
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ANSWER
The restrictions are
EXPLANATION
We were given the rational function,
The function is defined for all values of a, except
This has become a quadratic trinomial, so we need to split the middle term.
We do that by multiplying the coefficient of which is 5 by the constant term which is 3. This gives us 15.
The factors of 15 that adds up to 16 are 1 and 15.
We use these factors to split the middle term.
We now factor to get,
We factor further to get,
This implies that,
This gives
These are the restrictions.