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3 years ago

Which of the following gives all of the sets that contain -1/2?

1 answer:

3 0

ANSWER

The set of all rational numbers and the set of all real numbers.

EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,

$\frac{a}{b}$

where a and b are integers and b≠0.

The given number is

$- \frac{1}{2}$

It belongs to the set of rational numbers.

The set of rational numbers is a subset of the set of real numbers.

Hence

$- \frac{1}{2}$
also belongs to the set of real numbers.

The correct answer is A.

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What are the three angle measures in the triangle shown below

sergeinik [125]

B. 31°, 43°, 106°
since all angles of a triangle add up to 180°, you combine all of the equations to equal 180 and solve for X. the equation you would get it 3x+1+11x-4+5x-7=180. this simplifies to 19x-10=180. then you solve for x, and it is 10. then, you plug 10 into all of the equations separately to find the angles. therefore, the answer is B

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3 years ago

What is the true solution to the equation below?

jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$

$e^{ln(a)}=a$

$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$

If ㏑(a) = ㏑(b), then a = b

∴ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

Use the 2nd rule to simplify it

$e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\$

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

$ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)$

Use the 4th rule

$\frac{2}{5} x = 30$

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

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3 years ago

My ip is 098.29.283.9

Dmitrij [34]

Cooooooooooooooooooooooooooool

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3 years ago

Someone please help! I have spent lots of time on this and I’m still confused

vfiekz [6]

Answer:

its the 3rd choice.

Step-by-step explanation:

Firstly, we find angle BDC (180-90-30=60)

Now that we found it we can use the sine rule to find DB (which i put as an x), which is sin60/14=sin30/x, by cross multiplication, we find that its equal to a decimal number, i will use its root version to this easier, its equal to 14sqrt3/3 inches.

And now we use the pythagorean theorem to find DC, we find that it is equal to 28sqrt3/3

Now, we find angle BAC (180-90-(30+15)=45)

Again, we use the sine rule to find AB (whom i will refer to as x and from whom we will subtract DB to find the length of AD), so we cross multiply in sin45/14=sin(30+15)/x, it is equal to 14.

So since AB-DC=AD

14-(14sqrt3/3)= 5.917096231 (and we ound that to a 5.9)

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3 years ago

Your soccer team has won 6 games and lost 4 games. If the team does not lose any more games, how many games must the team win to

Lunna [17]

Answer: 4 games

Step-by-step explanation:

The team has won 6 games and lost 4 games. The win--loss ratio at the moment must be:

= 6 : 4

This must be at its simplest form which is:

= 3 : 2

To take it to 5 : 2, we would have to take up the left side of the ratio by 2.

Because we simplified by using a factor of 2, we have to multiply the 2 we just calculated by the factor to find the number of games needed to be won:

= 2 * 2

= 4 games

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3 years ago