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3 years ago

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

1 answer:

6 0

Good night,

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span> $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span> $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

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What is the distance between point P and point R?

stealth61 [152]

Answer:

PR = 10

Step-by-step explanation:

PR = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The coordinates for P and R are (0,4) and (-6,-4) respectively.

So you plug in the values:

PR = $\sqrt{(-6-0)^2+(-4-4)^2}$

PR = $\sqrt{(-6)^2+(-8)^2}$

PR = $\sqrt{36+64}$

PR = $\sqrt{100}$

PR = 10

3 0

3 years ago

There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I

ANEK [815]

Answer:

Number of Dolls = 28.

Number of Balls = 32.

Number of Cars = 20.

Step-by-step explanation:

Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.

Suppose the highest common factor of the three numbers be 'X'.

Then, Number of Dolls = 7x

Number of Balls = 8x

Number of Cars = 5x

Given the total number of dolls, balls, and cars is 80.

It means 7x + 8x + 5x = 80.

20x = 80

x = 80/20 = 4.

So, Number of Dolls = 7*4 = 28.

Number of Balls = 8*4 = 32.

Number of Cars = 5*4 = 20.

8 0

3 years ago

A cell phone company dropped the

Ymorist [56]

Correct me if I’m wrong but I think it’s p-0.10p

3 0

3 years ago

How long does it take for an investment to quadruple in value if it is invested at 11% compounded

defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0

3 years ago

3x2 +4=0 whats the answer?

Rufina [12.5K]

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

3 0

3 years ago

Read 2 more answers