The answer is: 54 inches would be too long for a shoelace
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Answer:
The correct answer is m=
and θ = 30º.
Step-by-step explanation:
First, we must form a triangle whose hypotenuse is the radius r=1, its adjacent leg is m, its opposite leg is
and the angle is theta.
First, we calculate the angle with theta's breast:
sin (θ) = 
where H is the hypotenuse, in this case, the radio.
θ =
(
)
θ = 30º
Now, we calculate the adjacent leg, which is equal to the x-coordinate of the point:
cos (θ) = 
m = cos 30º * H
m = 
m = 
Have a nice day!
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}