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3 years ago

600 m equals how many km

Mathematics

2 answers:

anastassius [24]3 years ago

7 0

1000m equals 1km so 600m equals 0.6km.

Archy [21]3 years ago

4 0

We know, 1 m = 1/1000 Km
so, 600 m = 1/1000 * 600 = 0.6 Km

In short, Your Answer would be 0.6 Km

Hope this helps!

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Solve the differential. This was in the 2016 VCE Specialist Maths Paper 1 and i'm a bit stuck

Nimfa-mama [501]

$\sqrt{2 - x^{2}} \cdot \frac{dy}{dx} = \frac{1}{2 - y}$
$\frac{dy}{dx} = \frac{1}{(2 - y)\sqrt{2 - x^{2}}}$

Now, isolate the variables, so you can integrate.
$(2 - y)dy = \frac{dx}{\sqrt{2 - x^{2}}}$
$\int (2 - y)\,dy = \int\frac{dx}{\sqrt{2 - x^{2}}}$
$2y - \frac{y^{2}}{2} = sin^{-1}\frac{x}{\sqrt{2}} + \frac{1}{2}C$

$4y - y^{2} = 2sin^{-1}\frac{x}{\sqrt{2}} + C$
$y^{2} - 4y = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} - 4 = -2sin^{-1}\frac{x}{\sqrt{2}} - C$
$(y - 2)^{2} = 4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C$

$y - 2 = \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$
$y = 2 \pm\sqrt{4 - 2sin^{-1}\frac{x}{\sqrt{2}} - C}$

At x = 1, y = 0.
$0 = 2 \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$
$-2 = \pm\sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C > 0$
$\therefore 2 = \sqrt{4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C}$

$4 = 4 - 2sin^{-1}\frac{1}{\sqrt{2}} - C$
$0 = -2sin^{-1}\frac{1}{\sqrt{2}} - C$
$C = -2sin^{-1}\frac{1}{\sqrt{2}} = -2\frac{\pi}{4}$
$C = -\frac{\pi}{2}$

$\therefore y = 2 - \sqrt{4 + \frac{\pi}{2} - 2sin^{-1}\frac{x}{\sqrt{2}}}$

6 0

3 years ago

A rectangular parking lot is 75 feet wide and 150 feet long. The owner wants to increase the width by 100 feet. What is the appr

Trava [24]

The approximate increase in Area of the parking lot is about 133%

Area of a rectangle = Length × width

Initial Area of parking lot :

75 feets × 150 feets = 11250 ft²

New Area of parking lot :

Width = 75 + 100 = 175 feets

Length = 150 feets

Area = 175 × 150 = 26250 ft²

Percentage increase in Area of lot :

((16250 - 11250) / initial Area) × 100%

(15000 / 11250) × 100% = 133.33%

Therefore, the approximate increase on area of lot is 133%

Learn more : brainly.com/question/18109354

5 0

3 years ago

Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠

Mrrafil [7]

Answer:

i think 30

Step-by-step explanation:

the best choice

5 0

3 years ago

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What’s the answer and explain it please -

MariettaO [177]

Answer:

2.6

Step-by-step explanation:

The Mean Absolute Deviation (MAD) is the average amount that each point is from the overall average of the data set.

So, first find the overall average (also called the mean):

avg = (1 + 1 + 2 + 3 + 5 + 7 + 9) / 7

= 28 / 7

= 4

The average (mean) is 4, so now you calculate how far each point is from 4 and average those numbers:

Note: Remember to use absolute values, since distance can't be negative.

4 - 1 = 3

4 - 2 = 2

4 - 3 = 1

4 - 5 = |-1| = 1

4 - 7 = |-3| = 3

4 - 9 = |-5| = 5

And finally, average (or find the mean) the new data set:

avg = (1 + 1 + 2 + 3 + 3 + 3 + 5) / 7

so 18 / 7 is the MAD of the data set.

Finally, round it to the nearest tenth:

18 ÷ 7 = 2.57142857143 ≈ 2.6

7 0

2 years ago

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Ellen purchased two binders for $1.25 each, two binders for $3.75 each, two packs of paper for $1.50 each, four packs of pens fo

laiz [17]

Answer:

$29

Step-by-step explanation:

2*1.25

2*3.75

2*1.5

4*1.75

4*2.25

multiply these and add them all up and you get 29

6 0

3 years ago

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