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3 years ago

Is the number rational or irrational?

Mathematics

1 answer:

Maru [420]3 years ago

5 0

Well an an irrational number is a real number that cannot be expressed as a ratio of integers, i.e. as a fraction. A rational number is a number that can be written as a ratio. So 3/7 is a rational number, 0.38(with a line saying its continuous over .38) is rational, Square of 7/9 is irrational number, and 5 pi is an irrational number.

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When Sharon begin shopping this morning, she have $40. she purchased 5 paperback books and had lunch. The books were all the sam

sertanlavr [38]

Call the price of a book 'b'. We know that lunch cost $3.25 so let's say $L=3.25$ we also know the total is $40. So we can write:
$T=L+5b+7$
or
$40=3.25+5b+7$
and then solve for 'b':
$29.75=5b$
$b=\frac{29.75}{5} = 5.95$

A book cost $5.95

8 0

3 years ago

What is the factored form of 4x^2+23x-72

ohaa [14]

4x^2+23x-72=

4x(x+8)-9(x+8)=

i got dis 4 yo answer and it is (x+8)(4x-9)

hope dis helped

4 0

3 years ago

Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a pla

expeople1 [14]

Explanation:

On the left hand side of the place value chart, 20 hundreds is equal to 2 thousands because thousands is larger than hundreds. 2 thousands is 2(1000)=2000. 20 hundreds is 20(100)=2000. They are the same number.

However, on the right hand side of the place value chart, hundredths is larger than thousandths. To say that 20 hundredths is the same as 2 thousandths is incorrect, because you're saying more of a larger quantity is the same as less of a smaller quantity.

Hundredths are two places after the decimal, and have a value of 0.01. 20 hundredths is 20(0.01) = 0.2.

Thousandths are three places after the decimal and have a value of 0.001. 2 thousandths is 2(0.001) = 0.002.

We can write 0.2 as 0.200; this way we can see that 0.200 is larger than 0.002. They are not equal.

3 0

3 years ago

Read 2 more answers

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4,

Stells [14]

Writing it in perpendicular form is easy as 1, 2, 3.

First you should put it in y = mx + b Form (Slope intercept)

#1: y = x + 7

Simply flip the reciprocals

#2: y = -x + 7

7 0

3 years ago

The angle of depression from the top of a building to a point

AleksandrR [38]

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.

Step-by-step explanation:

The given is,

The angle of depression from the top of a building to a point on the ground is 45 degrees.

Height of the building is 280 meter.

Step: 1

Given diagram is a right angled diagram,

For right angle triangle,

90° = 45° + 45°

= 90°

Trignometric ratio,

sin ∅ = $\frac{Opp}{Hyp}$ ....................(1)

For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.

Where, Opp side = 280 meters

Hyp side = x

∅ = 45°

Equation (1) becomes,

sin 45° = $\frac{280}{x}$

0.70710678 = $\frac{280}{x}$

x = $\frac{280}{0.70710678}$

x = 395.979

Distance between point on the ground from the top of the building, x ≅ 396 meter

Trignometric ratio,

cos ∅ = $\frac{Adj}{Hyp}$

Cos 45 = $\frac{Adj}{396}$

Adj = (0.70710678)(396)

Bottom length, Adj = 280 meter

Result:

The distance between point on the ground from the top of the building is 396 meter.

8 0

3 years ago