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3 years ago

Please Help.

Mathematics

2 answers:

Bond [772]3 years ago

6 0

5 x 6 + 7? Is that what the answer is, I didn't get the question towards the end. :)

grandymaker [24]3 years ago

3 0

37-7=30
30/6=5
(37-7)/6=5
or.....
6*5+7=37

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A number cube with faces labeled 1 to 6 is rolled once.

Zepler [3.9K]

Answer:

a) A ∪ B = {2, 4, 5, 6}

b) A ∩ B = {6}

c) $\sf B^c$ = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses curly brackets called "braces". Objects placed within the braces are the elements of the set.

The listing method of set notation simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is greater than 4.

Therefore, the set of outcomes for event A is {5, 6}.

Event B

The number rolled is even.

Therefore, the set of outcomes for event B is {2, 4, 6}.

Part (a)
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒ A ∩ B = {6}

Part (c)

The complement of event B means everything that is not in B.

$\sf \implies B^c =$ {1, 3, 5}

Learn more about set notation here:

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den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenuse
cosA = adjacent/hypotenuse
tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/c
cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

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3 years ago