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Alex17521 [72]
3 years ago
10

Given the two sets: A = {1, 2, 3} B = {3, 2, 1} Which of the following is a true statement? 4 ∈ B A B A is an infinite set none

of the above
Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer: The answer is (b) A is subset of B.


Step-by-step explanation: Two sets A and B are given as follows -

A = {1, 2, 3}  and  B = {3, 2, 1}.

The given options are

(i) 4 ∈ A. This is not correct, since 4 is a not in the set A.

(ii) A is a subset of B. This option is correct since every element of set A is in set B.

(iii) A is an infinite set. This is also not correct, since A has only 3 elements, so it is a finite set.

(iv) Since option (ii) is correct, so this option is incorrect.

Thus, the correct option is (ii) A is subset of B.

ivolga24 [154]3 years ago
3 0
A = {1, 2, 3}  and B = {3, 2, 1}

4∈B is wrong, it should be 4∉B

Both sets are finite. each has 3 elements only
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Hayden earns $9.50 per hour as a lifeguard.He earns a bonus of $50.00 for taking a training course.How many hours must he work t
mel-nik [20]

Answer: he must work for at least 26.32 hours

Step-by-step explanation:

Let x represent the number of hours that Hayden works as a life guard.

Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be

9.5x

He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is

9.5x + 50

Therefore, the number of hours that he must work to earn at least $300.00 would be

9.5x + 50 ≥ 300

9.5x ≥ 300 - 50

9.5x ≥ 250

x ≥ 250/9.5

x ≥ 26.32

4 0
3 years ago
A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners
Vlada [557]

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

3 0
3 years ago
Something on sale for $725. The original price was $1299. To the nearest tenth of a percent, what was the rate of discount?
ElenaW [278]

Answer:

44.2%

Step-by-step explanation:

Rate of discount = (difference in prices / original price) x 100

Difference in price = $1299 - $725 = $574

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the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

the hundredth figure is 8, which is greater than 5. 1 would be added to the tenth figure.

So it becomes 44.2%

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3 0
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Arturiano [62]

Answer:

Tationia Rolon

Step-by-step explanation:

Here

3 0
3 years ago
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