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2 years ago

What fraction is equal to 0.997

Mathematics

2 answers:

LuckyWell [14K]2 years ago

4 0

Answer:

997/100

Step-by-step explanation:

-BARSIC- [3]2 years ago

3 0

Answer:

there are a lot of fractions equal to 0.997

anything over 1 is equal to itself so 0.997/1

you can multiply 0.997 by whatever you want and then put the result over the number you multiplied it by

1.994/2

2.991/3

3.988/4

...

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line segment AB has endpoints A (7.5,4.2) and B (2.3,5.4). Find the coordinates of the point that divides the line segment direc

Marrrta [24]

9514 1404 393

Answer:

(6.2, 4.5)

Step-by-step explanation:

We want, for some point P, ...

(P -A) / (B -P) = 1 / 3

3(P -A) = (B - P) . . . . . multiply by 3

4P = B +3A . . . . . . . . add P+3A

P = (B +3A)/4 . . . . . . .divide by 4

Filling in the coordinate values, we can find P to be ...

P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4

P = (6.2, 4.5)

5 0

2 years ago

A carnival costs $10.50 to enter plus an additional $3.50 per ticket rides and food.

Digiron [165]

Answer:

A:y=10.50+3.5x

B:80.5

8 0

2 years ago

Can you exchange the coordinates of points ( x 1, y 1) and ( x 2, y 2) in the distance formula and still find the correct distan

notka56 [123]

Answer:

yes

Step-by-step explanation:

As an example

(x₁, y₁ ) = (1,2) and (x₂, y₂ ) = (5,3), then

d = $\sqrt{(5-1)^2+(3-2)^2}$ = $\sqrt{4^2+1^2}$ = $\sqrt{16+1}$ = $\sqrt{17}$

Now let (x₁, y₁ ) = (5,3) and (x₂, y₂ ) = (1,2), then

d = $\sqrt{(1-5)^2+(2-3)^2}$ = $\sqrt{(-4)^2+(-1)^2}$ = $\sqrt{16+1}$ = $\sqrt{17}$

3 0

3 years ago

Write the complex number in polar form:

emmasim [6.3K]

9514 1404 393

Answer:

2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

(2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

(2√30)cis(-120°)

(2√30; -120°)

(2√30; -2π/3)

2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0

2 years ago

The population of a city in 2005 was 15,000. By 2015, the city's population had grown to 45,000 people. Assuming that the popula

Ede4ka [16]

Answer:

The population of the city in the year 2025 will be 85,000.

Step-by-step explanation:

The population of the city in year 2005 = 15,000

The population of the city in the year 2015 = 45,000

⇒ The change in population in 10 years

= Population in year 2015 - Population in the year 2005

= 45,000 - 15, 000

= 30,000

⇒ The change in population in 10 years = 30,000

Now, the population in the year 2015 = 45, 000

Let us assume the number of population in the year 2025 = m

Here, according to the question:

Since, the CHANGE OF RATE is a linear growth since 2005.

⇒ The change in population in each 10 years = 30,000

⇒ The change in population in next 10 years

= Population in year 2025 - Population in the year 2015

or, 30, 000 = m - 45, 000

⇒ m = 30,000 + 45,000 = 85,000

or, m = 85,000

Hence, the population of the city in the year 2025 will be 85,000.

3 0

2 years ago