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2 years ago

Find the complement of the set given that

Mathematics

1 answer:

natima [27]2 years ago

3 0

The complement of the set is {8, 9, 10, 11}

<h3>How to find the complement of the set?</h3>

The universal set is given as:

U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}.

The other set is given as:

{x | x is in N and x < 8}

The complement of the set is the set elements that are in the universal set, but not in the given set

The set {x | x is in N and x < 8} can be rewritten as

X = {0, 1, 2, 3, 4, 5, 6, 7}

So, the complement is

X' = {8, 9, 10, 11}

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A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th

loris [4]

Answer:

30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

180° -(69° -35°) = 146°

and the distance is ...

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c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

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3 years ago

What are the exact values of sin(2π3radians) and cos(2π3radians)

topjm [15]

We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2

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3 years ago

In the figure, three line segments cross at a common point. Angle A is 45°, and angle E is 85°. What is the measurement of angle

dybincka [34]

Answer:

A. 40°

Step-by-step explanation:

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4 years ago

Can I get all these questions answered?

kvasek [131]

Answer:

a. x is equal to 54.5

Step-by-step explanation:

The interior angles of a pentagon will add up to 540. Since it is a regular pentagon, each angle would be 108 degrees. So we can set the value of the angle to 108 and solve for x.

2x - 1 = 108

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3 years ago

Given the arithmetic sequence where a_{1} = - 5 and d = 6 , what is a_{5} ?

dexar [7]

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2 years ago