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3 years ago

State of the number 49/9 (square root) is a rational or irrational

Mathematics

1 answer:

lina2011 [118]3 years ago

5 0

Hey there!!

49/9 = 7
is a rational number as it has a definite answer 7.

Hope it helps you.

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The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170". What is the measure of the

levacccp [35]

The measure of the largest exterior angle of hexagon is 105

<u>Solution:</u>

Given, The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170".

We have to find what is the measure of the largest exterior angle?

Now let us find the 6th interior angle,

We know that, sum of interior angles of hexagon = 720 degrees

115 + 125 + 85 + 150 + 170 + 6th angle = 720

645 + 6th angle = 720

6th angle = 720 – 645

6th angle = 75 degrees

Now we have to find the largest exterior angle, we know that, the complement of largest exterior angle will be smallest interior angle.

So, here smallest interior angle is 75

sum of interior and exterior angle equals to 180

Hence interior angle + exterior angle =180

Then, 75 + exterior angle = 180

Exterior angle = 180 – 75 = 105.

Hence, exterior angle is 105 and 1st option is correct.

4 0

3 years ago

B) Two less than the square of a number

Furkat [3]

??? Where’s the rest of that problem

8 0

3 years ago

Please help! I’ll give you brainliest immediately

kodGreya [7K]

For the lines to be parallel the two angles need to be equal to each other:

128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64

Answer: x = 64

3 0

3 years ago

3. Bob the Builder wants to earn an annual rate of 10% on his investments,

mamaluj [8]

Answer:

He should pay $2,790.7.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.

After t years, the total amount of money is:

$T = E + P$

In this question:

Rate of 10%, so I = 0.1.

9 months, so $t = \frac{9}{12} = 0.75$

How much should he pay for a note that will be worth $3,000 in 9 months?

We have to find P for which T = 3000. So

$T = E + P$

$3000 = E + P$

$E = 3000 - P$

Then

$E = P*I*t$

$3000 - P = P*0.1*0.75$

$1.075P = 3000$

$P = \frac{3000}{1.075}$

$P = 2790.7$

He should pay $2,790.7.

8 0

3 years ago

Please show your work! I have 3 more of these, and I want to be able to do them by myself.

Radda [10]

Answer:

Step-by-step explanation:

We group the number 5:

5(x² + 3x + 2.25)

Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:

5(x+1.5)²

What's the idea behind this?

Well, remember that when you have something in the form:

(a+b)²

It actually means:

a² + 2ab + b²

In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.

Sorry if you don't understand. Tell me if you need help to get the xoncept better.

3 0

2 years ago