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DochEvi [55]
3 years ago
12

Find each product. Then determine which conclusion can be drawn based on the results.

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

B. The product of two irrational numbers can be rational or irrational.

Step-by-step explanation:

An irrational number is a number that is real and it cannot be written or expressed as a fraction.

For example , 2√3, √5 are irrational numbers.

A rational number is a number that is real and can be expressed as a fraction. It is a whole number. For example: 5, 7 are rational numbers

In the above question, we are a pair of rational and irrational number, 2 irrational numbers and we are asked to draw conclusions from their product

a) √2•√2 = √2 × √2 = √4 = 2 = rational number

b) √5•√7 = √5 × √7 = √35 = Irrational number

c) √2•18 = √2 × 18 = 18√2 = Irrational number

d) √2•√6 = √2 × √6 = √12 = Irrational number.

My conclusion from the above results is option B, which states that

B. The product of two irrational numbers can be rational or irrational.

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Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

  moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
X + 37<br> x + 67<br> 90<br> 104<br> 14<br> -14<br> -7°
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Step-by-step explanation:

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