Question

digital images consist of pixels. a pixel can be considered as the smallest unit ona display screen in a mobile or a computer. the number of pixels, their size and colours depend on the display screen and its graphic card. display screens are rectangular in shape and their size is defined as the length of the diagonal. of anmol is designinga web page for a display on a screen whose size is 1000 pixels. the width the screen is 800 pixels.

Answer 1

The correct equation to calculate the height (h) of the screen with a diagonal size of 1000 pixels and width of 800 pixels is
`\(h^2 - 360,000 = 0\)`. (option B)

To calculate the height (h) of the screen, we can use the Pythagorean theorem since the screen is rectangular. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). In this case, the diagonal of the screen is the hypotenuse, and the width and height are the other two sides.

The Pythagorean theorem is given by:

`\[c^2 = a^2 + b^2\]`

In the context of the screen:

`\[h^2 = 1000^2 - 800^2\]`

Now, let's simplify this equation:

`\[h^2 = 1,000,000 - 640,000\]\[h^2 = 360,000\]`

Therefore, the correct equation is:

`\[h^2 - 360,000 = 0\]`

Let's check option B:

`\[h^2 - 200 * 1800 = 0\]`

This equation can be simplified to:

`\[h^2 - 360,000 = 0\]`

So, indeed, option B is correct.

The complete question is:

Digital images consist of pixels. A pixel can be considered as the smallest unit on a display screen in a mobile or a computer. The number of pixels, their size and colours depend on the display screen and its graphic card. Display screens are rectangular in shape and their size is defined as the length of the diagonal.

Amit is designing a web page for a display on a screen whose size is 1000 pixels. The width of the screen is 800 pixels.

Which of the following equation can be used to calculate the height (h) of the screen?

A. h ^ 2 + 200 * 1800 = 0

B. h ^ 2 - 200 * 1800 = 0

C. h ^ 2 - 200 = 0

D. h ^ 2 - 1800 = 0