Computer screens and television screens are usually measured by the diagonal of
the screen. For example, a screen of size 60 inches would have a diagonal of 60
inches, a width of 52 inches, and a height of 30 inches.
Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50
inches wide. She would like the screen to be the largest size that will fit on the
shelf. She knows the diagonal and width of the 4 screens listed below.
Screen: A, B, C, D
Diagonal : A: 15", B: 22", C: 32", D: 40"
Width: A: 13", B: 19", C: 28", D: 35".
Height : A: 7.48, B: 11.09, C: 15.49, D: 19.36
Which screen is the largest that will fit on Yoselin's shelf?
I dont think thats right bot its for a test
Apologies for the incorrect response earlier. Let's compare the remaining screens again.
Yoselin's shelf is 17 inches tall and 50 inches wide. We want to find the screen with the largest diagonal measurement that will fit on the shelf.
Comparing the remaining screens:
Screen C has a width of 28 inches and a diagonal of 32 inches.
Screen D has a width of 35 inches and a diagonal of 40 inches.
Since the width of screen C (28 inches) is smaller than the width of Yoselin's shelf (50 inches), screen C can fit on the shelf.
However, screen D has a larger diagonal measurement than screen C, so screen D is the largest screen that will fit on Yoselin's shelf.
Therefore, the largest screen that will fit on Yoselin's shelf is screen D with a width of 35 inches and a diagonal of 40 inches.
To determine which screen is the largest that will fit on Yoselin's shelf, we need to compare the height and width of each screen to the dimensions of the shelf.
First, let's compute the screen sizes using the Pythagorean theorem. We can calculate the height of the screen using the width and diagonal:
Screen A: sqrt((15^2) - (13^2)) ≈ 7.48"
Screen B: sqrt((22^2) - (19^2)) ≈ 11.09"
Screen C: sqrt((32^2) - (28^2)) ≈ 15.49"
Screen D: sqrt((40^2) - (35^2)) ≈ 19.36"
Now, we can compare the dimensions of each screen to the shelf.
Shelf dimensions: Height: 17", Width: 50"
Comparing the height of each screen to the shelf height:
- Screen A: Not tall enough (7.48" < 17")
- Screen B: Not tall enough (11.09" < 17")
- Screen C: Fits (15.49" ≤ 17")
- Screen D: Not tall enough (19.36" > 17")
Comparing the width of each screen to the shelf width:
- Screen A: Not wide enough (13" < 50")
- Screen B: Not wide enough (19" < 50")
- Screen C: Not wide enough (28" < 50")
- Screen D: Fits (35" ≤ 50")
From the comparisons, we can see that Screen C is the largest that fits within Yoselin's shelf.
To determine which screen is the largest that will fit on Yoselin's shelf, we need to compare the diagonal, width, and height measurements of each screen.
Since Yoselin's shelf is 17 inches tall, we can eliminate screens A and B as they have heights of 7.48 inches and 11.09 inches, respectively, which are too small to fit on the shelf.
Next, we need to compare the remaining screens (C and D) based on their width and diagonal measurements.
Screen C has a width of 28 inches and a diagonal of 32 inches.
Screen D has a width of 35 inches and a diagonal of 40 inches.
Since both screens have a diagonal measurement that is larger than Yoselin's shelf width of 50 inches, we can eliminate screen C.
Therefore, the largest screen that will fit on Yoselin's shelf is screen D with a width of 35 inches.