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UkoKoshka [18]
3 years ago
8

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B? (1 point)

Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

{2, 4}.

Step-by-step explanation:

A ∩ B is the set of elements that are in both A and B so it is:

{2, 4}.

Rainbow [258]3 years ago
5 0

Answer:

{2, 4}

Step-by-step explanation:

Intersection is the elements that two or more sets have in common. In A and B, they share {2, 4} in common.

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Probability
Hatshy [7]

Answer:

0.8

Step-by-step explanation:

3 0
3 years ago
Pablo wants to spend $100 on clothing and he wants to purchase 6 additional clothing pieces for his wardrobe. Each pair of pants
andrew11 [14]

Answer:

A. x+y=6...(1)

20x+15y=100...(2)

B. Yes, Pablo can buy 2 pair of pants and 4 shirts.

Step-by-step explanation:

A. Let x be the number of pairs of pants and y be the number of shirts.

We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:

x+y=6...(1)

We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.  

As Pablo wants to spend $100 on clothing, so we can represent this information as:

20x+15y=100...(2)

Therefore, the system of equation representing the given situation will be:

x+y=6...(1)

20x+15y=100...(2)

B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.

2+4=6

6=6

20*2+15*4=100

40+60=100

100=100

We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.

4 0
3 years ago
HELP ANSWER ASAP PLS Given the following diagram, find the trigonometric ratios.
saveliy_v [14]

Answer:

sin B = 15/17

Cos B = 8/17

Tan B = 15/8

Step-by-step explanation:

5 0
3 years ago
i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
Ivenika [448]

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

<h3>When are lines parallel, perpendicular or neither?</h3>

The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

  • If they are equal, the lines are parallel.
  • If their multiplication is of -1, they are perpendicular.
  • Otherwise, they are neither.

Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

  • mAB = (-7 - 9)/(11 - 1) = -8/5.
  • mAC = (3 - 9)/(-9 - 1) = 3/5.
  • mBC = (3 - (-7))/(-9 - 11) = -1/2.

No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

#SPJ1

6 0
2 years ago
Shonda made a model of a solid ice cream cone with a spherical scoop of ice cream on top, made out of clay.
IrinaVladis [17]

How sad, that you didn't include the list of choices.

The volume of the cone is    (1/3) x (π) x (radius²)  .

The volume of the sphere is  (4/3) x (π) x (radius³) .


5 0
3 years ago
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