Round 5370288 to the nearest 100,000

2 answers:

7 0

Greetings!

To round 5,370,288 to the closest 100,000

, you should determine if the digit following the hundred thousands digit is above or below 5. If it's above 5, you increase the hundred thousands digit by 1. Conversely, if it falls below 5, you round down by filling in zeros.

When 5,370,288 is rounded to the nearest hundred thousands, it results in 5,400,000.

I hope this was helpful!:D

Leona [12.6K]2 months ago

7 0

5400000, since the 7 rounds the 8 up to 4.

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Find the point on the circle x^2+y^2 = 16900 which is closest to the interior point (30,40)

Leona [12618]

Response-

(78,104) represents the point closest to the interior.

Explanation-

The equation defining the circle,

$\Rightarrow x^2+y^2 = 16900$

$\Rightarrow y^2 = 16900-x^2$

$\Rightarrow y = \sqrt{16900-x^2}$

Since the point lies on the circle, its coordinates must be,

$(x,\sqrt{16900-x^2})$

The distance "d" from the point to (30,40) can be calculated as,

$=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

$=\sqrt{(x-30)^2+(\sqrt{16900-x^2}-40)^2}$

$=\sqrt{x^2+900-60x+16900-x^2+1600-80\sqrt{16900-x^2}}$

$=\sqrt{9400-60x-80\sqrt{16900-x^2}}$

Next, we need to determine the value of x for which d is minimized. The minimum distance occurs when $9400-60x-80\sqrt{16900-x^2}$ is at its lowest value.