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2 years ago

Answer number 3 please

Mathematics

1 answer:

Sever21 [200]2 years ago

8 0

M∩C = {8}

M∪C = {6, 8, 9 , 10}

Sets can be defined as an organized collection of objects represented in set-builder form or roster form.

Sets are mostly represented in curly braces {}

For example, A = {a, b, c, d, e} is a set.

From the information given, we have that:

M = {natural numbers larger than 7 but less than 11}
C = {multiples of 2 less than 12 but greater than 4}

Thus,

M = {8, 9, 10}

C = {6, 8, 10}

M∩C = Number common in both sets

M∩C = {8}

M∪C = Combinations of numbers in both sets without repetition

M∪C = {6, 8, 9 , 10}

Thus, the value of M∩C is 8 and that of M∪C is 6, 8, 9, 10

Learn more about sets here:

brainly.com/question/2166579

#SPJ1

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Describe how you could represent the fraction 4/10 using a model or number line. Dont make the answer huge thank you

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Answer:

As a model for representing fractions, the number line differs from other models (e.g., sets, regions) in several important ways. First, a length represents the unit, and the number line model suggests not only iteration of the unit but also simultaneous subdivisions of all iterated units. That is, the number line can be treated as a ruler.

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3 years ago

Calculate the length of AC to one decimal place in the trapezium below.

a_sh-v [17]

Answer:

First we will split trapezium on two geometric figure.

One is rectangle and the second is right triangle.

When we subtract 11-4=7cm we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

Good luck!!

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3 years ago

Y=3x²+3x+1,find the value of the discrimination

Rufina [12.5K]

Answer:

Step-by-step explanation:

a = 3

b = 3

c = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.