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3 years ago

83.49 x 1.48 to the nearest thousandth.

Mathematics

2 answers:

alexgriva [62]3 years ago

7 0

Answer:

123.565

Step-by-step explanation:

83.49 * 1.48 = 123.5652 Round to nearest thousands - > 123.565

allsm [11]3 years ago

6 0

Answer:

13.565

Step-by-step explanation:

83.49*1.48=123.5652

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Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃

bearhunter [10]

1) n(a) = 5

The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5

2) n(b) = 3

Simlarly, in this case you need to count how many elements belong to the set, the answer is 3

3) n(a ⋃ c) = 6

The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.

4) n(a ⋂ c) = 1

The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0

4 years ago

Read 2 more answers

Rania is playing with her friend Arun, and they are setting up dominoes across the room. Each domino is 2 inches long. They have

gogolik [260]

Answer:

Step-by-step explanation:

It should be less then or equal too, seeing as they want to reach all the way across the room.

6 0

3 years ago

Put your answer in standard notation to 4 decimal places.)

ArbitrLikvidat [17]

3.8275×10−1 :))) there ya go

8 0

3 years ago

In how many ways could 12 people be

laila [671]

Step-by-step explanation:

There are total 12 People

Person 1, Person 2,3,4,5,6,7, 9, 10, 11 and 12 at a round table

12 Chairs: 1,2,3,4,5,6,7,8,9,10,11 and 12

Let chairs 1 and 2 be next to each other

Person 1 is at chair 1 and Person 2 is at chair 2

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can sit in 10! ways

Next, Person 1 and Person 2 change their positions;

Person 1 is sitting at 2 and Person 2 is sitting at 1

The rest of the people on 3,4,5,6,7,8,9,10,11 and 12 - can be rearranged in 10! ways

Therefore, total number of ways in which Person 1 and Person 2 are next to each other is: 2*10! = 7257600

As we then have to find in how many ways they are not sitting next to each other; subtract 7257600 from the total number of possible arrangements.

In circular permutation,

Total number of arrangements of n people = (n-1)!

Here the number of people is 12

Arrangement = (12-1)! = 11!= 39916800

Therefore, the number of ways Person 1 and Person 2 are not next to each other = 39916800 - 7257600 = 2659200

Keywords: permutation, combination

Learn more about permutation and combination from brainly.com/question/12953847

#learnwithBrainly

8 0

3 years ago

Using t=tanx/2, write an expression for sinx and cosx in terms of t.

Dafna11 [192]

Assume 0 < x/2 < π/2. Then

tan²(x/2) + 1 = sec²(x/2) ===> sec(x/2) = √(1 - tan²(x/2))

===> cos(x/2) = 1/√(1 - tan²(x/2))

===> cos(x/2) = 1/√(1 - t ²)

We also know that

sin²(x/2) + cos²(x/2) = 1 ===> sin(x/2) = √(1 - cos²(x/2))

Recall the double angle identities:

cos(x) = 2 cos²(x/2) - 1

sin(x) = 2 sin(x/2) cos(x/2)

Then

cos(x) = 2/(1 - t ²) - 1 = (1 + t ²)/(1 - t ²)

sin(x) = 2 √(1 - 1/(1 - t ²)) / √(1 - t ²) = 2t/(1 - t ²)

7 0

2 years ago