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3 years ago

Questions about rational and irrational numbers

1 answer:

4 0

Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Rational numbers and irrational numbers are mutually exclusive: they have no numbers in common. Furthermore, they span the entire set of real numbers; that is, if you add the set of rational numbers to the set of irrational numbers, you get the entire set of real numbers.

Answer: If a number can be written or can be converted to p/q form, where p and q are integers and q is a non-zero number, then it is said to be rational and if it cannot be written in this form, then it is irrational.

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For the function g(x)=2x−8/ 6x+6, evaluate g(2)

lianna [129]

Answer:

see it it is right

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3 years ago

Evan went to the park and saw 4 animals. Each animal was either a duck or dog. If he saw a total of 14 legs. How many of each an

siniylev [52]

Answer:

So dogs have 4 legs, ducks have 2

If three dogs have 12 legs, then one duck has 2, so total 14 legs, and 4 animals

4+4+4= 12+2=14

So 3 dogs and 1 duck :)

3 0

3 years ago

What is (14x2 + 19x - 3) = (2x+3)?

Vlada [557]

Answer:

Dear User

Answer to your query is provided below

X = 2/7 or X = -3/2

Step-by-step explanation:

Explanation for the same is attached in image

8 0

3 years ago

An engineer, in an attempt to make a quick measurement, walks 100 ft from the base of an overpass

Korvikt [17]

Answer:

The distance of the overpass above the ground is approximately 26.795 ft

Step-by-step explanation:

The parameters given are;

The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft

The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°

By trigonometric ratios, we have;

$Tan(\theta) = \dfrac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle}$

The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground

The opposite side to the 15° is the distance of the engineer from the base of the overpass

Therefore;

Tan(15°) the height of the overpass=

length

$Tan(15 ^{\circ}) = \dfrac{The \ distance \, of \, the \ overpass \ above \ ground}{100 \ ft}$

The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.

6 0

3 years ago

Consider triangle ABC with the measure of an angle B = 60ﾟ and sidelinks a equal 4 &c equal 5 what option listed is an expre

ivann1987 [24]

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The correct option is B.

<h3>What is the Law of Cosine?</h3>

$c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}$

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The length of the sidelink b using the cosine rule can be written as,

$b = \sqrt{a^2+c^2-2ac\cos(\angle B)}\\\\b = \sqrt{4^2+5^2 - 2(4)(5)(\cos 60^o)}\\\\b = \sqrt{16+25-20}$

Hence, the correct option is B.

The complete question is:

Consider ABC with the measure of angle B equal to 60 degrees, and side lengths a=4 and c=5. Which option lists an expression that is equivalent to the length of side b?

Options are given in the image below.

Learn more about the Law of Cosine:

brainly.com/question/17289163

#SPJ1

8 0

2 years ago