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3 years ago

Suppose X and Y are non-empty sets. Which set contains more elements: X U Y or X ∩ Y? Explain.

Mathematics

1 answer:

katrin [286]3 years ago

4 0

Answer:

The union of two sets is guaranteed to result in an equal or larger set than if they were intersected.

This only makes sense because intersecting sets is exceptional, only values that already exist in both sets are in the result. Whereas a union of two sets gives you all of the content of both.

The only time when an intersection is even equal to a union is when the two sets are identical. If they aren't then the intersection will be smaller.

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Need help! Law of cosines...find b round to the nearest tenth please

dusya [7]

ANSWER

$B = 27.8 \degree$

EXPLANATION

The law of cosine is given by the formula:

${b}^{2} = {a}^{2} + {c}^{2} - 2bc \cos(B)$

From the diagram,

a=17, b=8, c=16

We substitute the given values into the formula to obtain:

${8}^{2} = {17}^{2} + {16}^{2} - 2(17)(16)\cos(B)$

$64 = 289+ 256- 544\cos(B)$

$64 = 545- 544\cos(B)$

$64 - 545 = - 544\cos(B)$

$- 481 = - 544\cos(B)$

$\frac{ - 481}{ - 544} = \cos(B)$

$cos(B) = 0.88419$

$B = \cos ^{ - 1} (0.88419)$

$B = 27.8 \degree$

3 0

4 years ago

Read 2 more answers

What is 29/5 is equal to

Evgesh-ka [11]

Answer:

5 4/5 or 5.8

Step-by-step explanation:

convert 29/5 to 5 4/5

divide 29/5 is 5.8

5 0

2 years ago

When calculating a loanâ€™s effective rate, if the interest compounds every two months, what value of n do you plug into your eq

Andrej [43]

The loan's effective rate and interest compound every two months then the value of n would be 6.

Given that,

When calculating a loan's effective rate, the interest compounds every two months.

We have to determine,

What value of n do you plug into your equation?

According to the question,

The calculation of compounded interest would be derived with the following formula:

$\rm P = \left (1+\dfrac{r}{n}\right)^{nt}\\\\$

In a year there are 12 months and when the interest rate is said to be compounded every two months then it implies that the number of months would be 6 months.

Then,

The value of n is,

$\rm 2n = 12\\\\n = \dfrac{12}{6}\\\\n = 6$

Hence, The loan's effective rate and interest compounds every two months then the value of n would be 6.

For more details, about Interest Rate refers to the link given below.

brainly.com/question/7967946

8 0

2 years ago

Choose the transformation

Nady [450]

theres no question

i dont know

why this is

relvelent

but i am

eating some

cookies that

he baught

from the

dollar tree

8 0

3 years ago

If a point is above the origin, it’s y coordinate must be positive or negative ?

balandron [24]

Answer:

Positive.

Step-by-step explanation:

The y coordinate is positive because on a graph, the positive part of the y-axis is above the origin while the negative part of it is below the origin.

3 0

3 years ago