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3 years ago

{red,blue,yellow} find all of the subsets

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

An empty subset would still be a subset

{}

Then let's pick one at a time

{red}

{blue}

{yellow}

Then in pairs

{red, blue}

{red, yellow}

{blue, yellow}

and finally, everything goes in!

{red, blue, yellow}

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Are the ratios 5:3 and 15:12 equivalent? Justify your answer?

Romashka [77]

No, if you do something to one side you do to the other. So 3 times 4 is 12 and 5 times 4 is not 15. I hope that makes sense

5 0

3 years ago

What is the length of BC? Round to the nearest tenth.

emmasim [6.3K]

9514 1404 393

Answer:

Step-by-step explanation:

The relevant trig relation is ...

Sin = Opposite/Hypotenuse

sin(65°) = BC/BA

BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

BC ≈ 14.5 cm

_____

Additional comment

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

4 0

3 years ago

what is the equation in point-slope form of the line that passes through the points (4, 5) and (-3, -1)

babunello [35]

Answer:

y-5=m(x-4) then solve

Step-by-step explanation:

7 0

3 years ago

Help plz:)))I’ll mark u Brainliest

jonny [76]

Answer:

4/5

Step-by-step explanation:

Given :

A right angled triangle with sides 24 , 3 and 40 .

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

$:\implies$ sinZ = p/h

$:\implies$ sin Z = 32/40

$:\implies$ sin Z = 4/5

Hence the renquired answer is 4/5.

5 0

3 years ago

A movie studio surveyed married couples about the types of movies they prefer. In the survey, the husband and wife were each ask

Aleksandr [31]

Using proportions, it is found that out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Researching this problem on the internet, it is found that out of 150 couples initially surveyed, 26 + 25 + 12 + 22 + 13 = 98 couples had at least one spouse preferring action movies, hence the proportion is:

p = 98/150 = 0.6533.

Out of the next 75 couples, the amount is:

A = 0.6533 x 75 = 49

Hence, out of the next 75 couples asked, 49 will have at least one spouse that prefers action movies.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0

2 years ago