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4 years ago

Which number produces an irrational number when multiplied by 0.4

2 answers:

3 0

Assuming 0.4 is in fact, 2 divided by 5 (and not an approximation of some number that would require an infinite amount of decimal places to exactly express), then multiplication by 0.4 is the same as multiplying by 2 and dividing by 5.

This means that multiplying any rational number by 2/5 will yield another rational number (as given x/y as an input, where x and y are integers, and multiplying it by 2/5 giving 2x/5y, will mean that 2x and 5y are also integers, and the result is also rational)

If we multiply an irrational number by 2/5, however, the result will be irrational.

So your answer is any number not in the set of rational numbers, multiplied by 0.4, will yield an irrational number.

kakasveta [241]4 years ago

3 0

Irrational number is a number without a perfect square root.

=2,3,5,6,7,8

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Match the verbal expression (term) with its algebraic expression (definition).

UkoKoshka [18]

The matching of definitions and terms are done below.

Some number increased by two ⇒ b + 2
A variable decreased by two ⇒ x – 2
Product of an unknown value and two ⇒ 2z
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<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

More about the Algebra link is given below.

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2 years ago

I need help please and thank u,

Alchen [17]

The illegal values of b are when the denominator equals 0.

So, $b^2-2b-8=0$ gives you (b-4)(b+2)=0

Therefore, b=4 and b=-2, which is answer A.

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3 years ago

Find the slope of the line passing through the<br> points<br> (-9, 2) and (7, 2).

Alisiya [41]

Answer:

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0$

I am joyous to assist you anytime.

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3 years ago

At a certain time of day, the angle of elevation of the sun is 80degree. Find the height of a tree whose shadow is 44 feet long.

Arte-miy333 [17]

The height of the tree is 249.5 feet

<h3>How to determine the height of the tree?</h3>

The given parameters are:

Elevation angle = 80 degrees
Shadow length (L) = 44 feet

Let the height of the tree be x.

So, we have:

tan(80) = x/44

Multiply both sides by 44

x = 44 * tan(80)

Evaluate

x = 249.5

Hence, the height of the tree is 249.5 feet