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bonufazy [111]
3 years ago
12

Use the following set definitions to specify each set in roster notation. Except where noted, express elements of Cartesian prod

ucts as strings. A = {a} B = {b, c} C = {a, b, d}
(a) A × (B ∪ C) Solution {aa, ab, ac, ad}
(b) A × (B ∩ C)
(c) (A × B) ∪ (A × C)
(d) (A × B) ∩ (A × C)
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the set notations A = {a} B = {b, c} C = {a, b, d}

BUC = {a, b, c, d}

B∩C = {b}

a) A × (BUC) = {aa, ab, ac, ad}

b) A × (B ∩ C) = {ab}

c) (A × B) ∪ (A × C)

A × B = {ab, ac} and A × C = {aa, ab, ad}

(A × B) ∪ (A × C) = {aa, ab, ac, ad}

d) For (A × B) ∩ (A × C)

(A × B) ∩ (A × C) = {ab}

Note that the union (U) of two sets is the combination of all the elements in both sets while the intersection (∩)of two sets is the common elements that are found in both sets.

The Cartesian product of two sets is derived by mapping each of the element in the first set with all the element in the other set. It is denoted by the multiplication sign.

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sergij07 [2.7K]

We have

<span>Va(airplane)=150  East</span>

Vw(wind)=7.1 South East

<span>
</span><span>resulting vector R</span>

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Vax=150    Vay=0   it only has component x 


Wind
Vwx=7.1*cos45=5.02

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

<span>|R|=155.10 miles/hour South East</span>

Determine angle θ

Rx=R*cos(θ)

<span>Cos(θ)=Rx/R</span> <span>Cos(θ)=155.02/155.10=0.9995</span>

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

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 θ represents the angle that forms the resultant force with respect to the x axis or east direction

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3 years ago
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Answer:

5:2

Step-by-step explanation:

35÷7= 5

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Two best friends, Pluto and Goofy, have very different hobbies. Pluto likes to skydive from a height of 24,568 feet. Goofy likes
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Answer:

They are 24, 692 feet aprart

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Let us assume at the instance we are measuring their position, that Pluto is at the highest point in the air, which is = 24,568 feet, and Goofy is at the lowest point of the sea (that he can go) = 124 feet.

Before we can proceed with the addition, we need to establish a datum, which will serve as the reference point from which the two distances are measured. This definitely is the sea level, because altitude and depth are usually measured above and below sea level.

Pluto's location to the sea level = 24,568 feet

Goofy's Location to the sea level = 124 feet

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How tall is the flagpole?

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