MATHEMATICS HIGH SCHOOL

Given a = {1, 3, 5}, b = {2, 4, 6} and c={1, 2, 3, 4, 5, 6}, then a ∪ (b ∩
c. =

Answers

Answer 1
Answer: Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}?1. A ∪ B __ {1, 2, 3, 4, 5} 
2. A ∪ C __ null, or empty set 
3. A ∩ B __ {1, 3, 5} 
4. A ∩ C __ {1, 2, 3, 4, 5, 6} 
5. B ∩ C __ {2, 4}
Answer 2
Answer:

Final answer:

The result of a ∪ (b ∩ c) equals the union of set a with set b, since set b is completely contained within set c. The final answer is {1, 2, 3, 4, 5, 6}.

Explanation:

The question involves concepts of set theory and specifically deals with the union and intersection of sets. The sets given are a = {1, 3, 5}, b = {2, 4, 6}, and c = {1, 2, 3, 4, 5, 6}. We're asked to find the result of a ∪ (b ∩ c), which means we want to determine the union of set a with the intersection of sets b and c. First, we need to find b ∩ c, which are the elements common to both b and c. Since c contains all the elements of b, the intersection b ∩ c is simply b, which is {2, 4, 6}. Now, we take the union of set a with this result, so a ∪ (b ∩ c) = a ∪ b = {1, 2, 3, 4, 5, 6}. Hence, a ∪ (b ∩ c) contains all elements from both set a and set b, as there were no common elements in set a and set b originally.

Learn more about Union and Intersection of Sets here:

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Which answer describes the restrictions for the variables?

x - 4 / x + 1

Answers

restrictions are not allowed values

the most common restrictions are sqrt of a negative and dividng by zero
since there are no sqrts in this quesiton, see whicch value of x will make us divide by zero
x-4/x+1
denom=0 to find restricted value
x+1=0
minus 1
x=-1

the restricted value is x=-1
basically
x=all real numbers except for -1
4x/ 1x = 4 
4X/1+ 2

Which sentence fully illustrates that polygon ABCD is congruent to polygon PQRS?

Answers

Ans: Polygon ABCD maps to polygon PQRS through a reflection only.

Explanation:
As you can see in the figure that the polygon PQRS is the reflection of the polygon ABCD. If we reflect the polygon ABCD on the x-axis, we would get the polygon PQRS. Congruency means that both shapes have the same measure, which in this case, both these shapes have the same measure. Therefore, we can say that polygon ABCD maps to polygon PQRS through a reflection only in order to be congruent to each other.

Answer:

polygon ABCD maps to polygon PQRS through a reflection only.

Step-by-step explanation:

Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.

Answers

Answer:

Required\ number\ of\ minutes= (x)/(2)+10

Step-by-step explanation:

Usual time(side streets) taken =x\ minutes

Jade can travel two times faster by taking the toll road so the time taken will be half from the toll road.

So travel time=(x)/(2)

Jade is 10\ minutes late

So total minutes after 5:00 PM to reach home=(x)/(2)+10

Answer:

It will be answer choice D.

Step-by-step explanation:

It'll take the half the usual time because she is taking a road that get's her there 2 times faster, but also add 10 because she was 10 minutes late

Calculate the area of the triangle 7m 4m is it (a) 14 m² (b) 18 m² (c) 28 m² (d) 56 m²

Answers

(7m)(4m)=28m^2
Therefore, the answer is (b)
=)=)=)=)=)

28m

Step-by-step explanation:

Can someone please help me with this trig question.For a given right triangle, side a = 76.4 feet and side b = 39.3 feet What is the length of side c to the nearest tenth of a foot?

Answers

Let 76.4 be the longestest side. ( hyportinues)
Let 39.3 be the base of right triangle.

so we have to find the adjacent side of right side.
 By Pythagoras Theorem.
 76.4² = c² + 39.3²
c² = 76.4² - 39.3²
c² = 4261.95
c = √4261.95
c = 65.3 feet
 

Which type of angle is ABC?
help quick!

Answers

Answer:

A right angle.

Step-by-step explanation:

65+25 =90

25+65= 90°

Answer:∠ABC is a vertical angle. Because, vertical angles are 90°
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