MATHEMATICS HIGH SCHOOL

If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?Set A has more elements in it than set B.
Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.

Answers

Answer 1
Answer:  A ⊂ B means all of A is in B

but then it says A ∩ B = θ meaning they have nothing in common, ie, none of A is in B or vice versa

A must be the empty set for both these conditions to hold. B could be anything you want. B could be empty, or it could not be. It's impossible to tell. 

For certain, A must be empty. Which is why the answer is choice C

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Meredith feeds her 3 dogs twice a day. How many times does she feed the dogs in 3 days?

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She would feed them 6 times in 3 days.

Answer:

6 times, 3 days

Step-by-step explanation:

This is 3rd grade math...lol

Height = 5cm
Base = 12cm

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The answer would be 60 because you do based times height which equals the area
What are you trying to find? Area or perimeter?

The difference of two times a number and eighteen is sixteen.

Answers

the answer would be 17

Nine times a number is three thousand six hundred what is the number?

Answers

The way this should be set up is: 

9a = 3600... 

So you must divide '9' on both sides, canceling out the '9', and making the 3600 to be '400'.. 

So the problem should look like: a = 400 <--- (Answer) 

Hope it helped.. :) 
=>Let the number be a ...=>Nine times the number: 9a ...=>Nine time a no. Is 3600 : 9a = 3600...=>9a = 3600=>a = 3600/9=>a= 400..=>So the number is 400..Hope It helps!!

Change 11 5/8 to a improper fraction

Answers

Simple,

You have 11 (5)/(8)

to change it into an improper fraction multiply the whole number (11) by the denominator (8)

11*8=88

Then, add the numerator to what you have multiplied..

88+5=93

Finally, use the original denominator....

Making your answer...

(93)/(8)

Thus, your answer.

Final answer:

To convert 11 5/8 to an improper fraction, multiply the whole number by the denominator and add the numerator. The result is 93/8.

Explanation:

The process to change 11 5/8 to an improper fraction involves two main steps. Firstly, you multiply the whole number (11 in this case) by the denominator of the fraction (8). The result is 88. Secondly, add the numerator of the fraction (5) to this result. Therefore, 88 + 5 = 93. Hence, the improper fraction form of 11 5/8 is 93/8. It is called an improper fraction because the numerator is greater than the denominator.

Learn more about Improper Fraction here:

brainly.com/question/34414077

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Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.

Answers

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are (10√(2) )/(3)

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C  =  -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = (10√(2) )/(3)

From B = (10√(2) )/(3)

From C = (10√(2) )/(3)
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