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kondaur [170]
3 years ago
7

Is the following number rational or irrational?

Mathematics
2 answers:
dezoksy [38]3 years ago
4 0

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Decimal form: − 1.08 3

3 repeats itself, so it's rational.

LUCKY_DIMON [66]3 years ago
3 0

Answer: Rational

This is because the number is in the form P/Q where P and Q are integers

We have P = -13 and Q = 12.

You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.

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What are parallel lines and perpendicular lines​
lana66690 [7]

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Parallel run next to each other perpendicular are like paralell lines. If that makes sence

Step-by-step explanation:

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Select all the situations that can be represented by 1/2⋅5. * 1 point Diego lives 5 miles from school, and Elena lives 1/2 as fa
SpyIntel [72]

Answer:

  • Elena lives 2.5 miles away from school.
  • The total liters of water is 2.5 liters
  • He can cut 10 pieces of rope of length 1/2 meter
  • The fraction of her goal she ran is 1/10

Step-by-step explanation:

From the question,

  • Diego lives 5 miles from school, and Elena lives 1/2 as far away as Diego

Therefore, Elena lives 1/2 of 5 miles away from school.

1/2 of 5 miles = 2.5 miles

Hence, Elena lives 2.5 miles away from school.

  • Jada has 5 bottles that each contain 1/2 liter of water.

Since each bottle contain 1/2 liter of water, then

The total liters of water is (1/2 × 5) liters

1/2 × 5 = 2.5 liters

Hence, the total liters of water is 2.5 liters

  • Noah has 5 meters of rope

To determine how many pieces of rope of length 1/2 meter he can cut,

Number of pieces of rope of length 1/2 meter that can be cut is 5 meter ÷ 1/2 meter

5 meter ÷ 1/2 meter = 10

Hence, he can cut 10 pieces of rope of length 1/2 meter.

  • Lin's goal is to run 5 miles. She ran 1/2 mile.

To determine what fraction of her goal that is,

First, she ran 1/2 mile out of 5 miles.

The fraction of her goal she ran is 1/2 mile ÷ 5 miles

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Hence, the fraction of her goal she ran is 1/10.

8 0
4 years ago
What is the area of a rectangle with vertices at ​ (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1) ? Enter your answer in the box
Bad White [126]

We are given vertices of a rectangle (0, −4) ​, ​ (−1, −3) ​ , (2, 0) , and (3, −1).

Length is the distance between (0, −4) ​and ​ (−1, −3) points.

Width is distance between  (−1, −3) ​ and (2, 0) points.

<u>Computing length:</u>

\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

=\sqrt{\left(-1-0\right)^2+\left(-3-\left(-4\right)\right)^2}

=\sqrt{2}

<u>Computing Width :</u>

\mathrm{The\:distance\:between\:}\left(-1,\:-3\right)\mathrm{\:and\:}\left(2,\:0\right)\mathrm{\:is\:}

=\sqrt{\left(2-\left(-1\right)\right)^2+\left(0-\left(-3\right)\right)^2}

=3\sqrt{2}

<h3>Area of the rectangle = Length × Width  </h3>

= \sqrt{2} \times 3\sqrt{2} = 3 \times 2 = 6 \ squares \ units..


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3 years ago
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sukhopar [10]

Answer:

x \geqslant  1

Step-by-step explanation:

The expression in the square root should be greater than or equal to zero, because square root of a negative number does not give a real number.

x  - 1 \geqslant 0 \\ x \geqslant  1

6 0
3 years ago
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