Samsung Galaxy S23+
Cell phone: ____; Height: 5 in.; Width: 3 in.
11 months ago
11 months ago
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11 months ago
To use the Pythagorean theorem in this context, we can consider the height and width of the Samsung Galaxy S23+ as the legs of a right triangle, and the diagonal of the phone as the hypotenuse.
Let's assume the diagonal of the phone is represented by 'd'.
According to the Pythagorean theorem, the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.
So, in this case, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(5 in.)^2 + (3 in.)^2 = d^2
25 in.^2 + 9 in.^2 = d^2
34 in.^2 = d^2
Taking the square root of both sides, we find:
d = β34 in.
Therefore, the diagonal of the Samsung Galaxy S23+ is approximately β34 inches.
11 months ago
. iPad 3
iPad: _____; Height: 10 in.; Width: 7 in
11 months ago
The iPad model is iPad 3 with a height of 10 inches and a width of 7 inches.
11 months ago
use pathoregm therom
11 months ago
I believe you meant to refer to the Pythagorean theorem. The Pythagorean theorem is applicable to right triangles, where the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In the case of the iPad 3, we can consider the height and width of the iPad as the legs of a right triangle, and the diagonal as the hypotenuse. Let's assume the diagonal is represented by 'd'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(10 in.)^2 + (7 in.)^2 = d^2
100 in.^2 + 49 in.^2 = d^2
149 in.^2 = d^2
Taking the square root of both sides, we find:
d = β149 in.
Therefore, the diagonal of the iPad 3 is approximately β149 inches.
11 months ago
4. HP Pavillion 15-e000 Series Laptop Laptop: 18 in.; Height: _____; Width: 10 in
use pathorgm therom.
11 months ago
To use the Pythagorean theorem in this context, we can consider the height and width of the HP Pavilion 15-e000 Series laptop as the legs of a right triangle, and the diagonal of the laptop as the hypotenuse. Let's assume the height is represented by 'h'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(h)^2 + (10 in.)^2 = (18 in.)^2
h^2 + 100 in.^2 = 324 in.^2
h^2 = 324 in.^2 - 100 in.^2
h^2 = 224 in.^2
Taking the square root of both sides, we find:
h = β224 in.
Therefore, the height of the HP Pavilion 15-e000 Series laptop is approximately β224 inches.
11 months ago
6. Movie Theater Screen
Theater Screen: 76 ft. Height: 30 ft.; Width: ____
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11 months ago
I believe you meant to refer to the Pythagorean theorem. The Pythagorean theorem can be applied in this context by considering the height and width of the movie theater screen as the legs of a right triangle, and the diagonal as the hypotenuse. Let's assume the width is represented by 'w'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(30 ft.)^2 + (w)^2 = (76 ft.)^2
900 ft.^2 + w^2 = 5776 ft.^2
w^2 = 5776 ft.^2 - 900 ft.^2
w^2 = 4876 ft.^2
Taking the square root of both sides, we find:
w = β4876 ft.
Therefore, the width of the movie theater screen is approximately β4876 feet.
11 months ago
Chromebook
Chromebook: 14 in; Height: ____; Width: 12 in.
use pathagorem therom
11 months ago
To use the Pythagorean theorem in this context, we can consider the height and width of the Chromebook as the legs of a right triangle, and the diagonal of the Chromebook as the hypotenuse. Let's assume the height is represented by 'h'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(h)^2 + (12 in.)^2 = (14 in.)^2
h^2 + 144 in.^2 = 196 in.^2
h^2 = 196 in.^2 - 144 in.^2
h^2 = 52 in.^2
Taking the square root of both sides, we find:
h = β52 in.
Therefore, the height of the Chromebook is approximately β52 inches.
11 months ago
5. TV in someoneβs living room
TV: 57 in; Height: 30 in.; Width: _____
use pathagorem therom
11 months ago
To use the Pythagorean theorem in this context, we can consider the height and width of the TV as the legs of a right triangle, and the diagonal of the TV as the hypotenuse. Let's assume the width is represented by 'w'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(30 in.)^2 + (w)^2 = (57 in.)^2
900 in.^2 + w^2 = 3249 in.^2
w^2 = 3249 in.^2 - 900 in.^2
w^2 = 2349 in.^2
Taking the square root of both sides, we find:
w = β2349 in.
Therefore, the width of the TV in someone's living room is approximately β2349 inches.
11 months ago
6. Movie Theater Screen
Theater Screen: 76 ft. Height: 30 ft.; Width: ____
use pathagoreom therom
11 months ago
To use the Pythagorean theorem in this context, we can consider the height and width of the movie theater screen as the legs of a right triangle, and the diagonal of the screen as the hypotenuse. Let's assume the width is represented by 'w'.
According to the Pythagorean theorem, we have:
(Height)^2 + (Width)^2 = (Diagonal)^2
Substituting the given values, we have:
(30 ft.)^2 + (w)^2 = (76 ft.)^2
900 ft.^2 + w^2 = 5776 ft.^2
w^2 = 5776 ft.^2 - 900 ft.^2
w^2 = 4876 ft.^2
Taking the square root of both sides, we find:
w = β4876 ft.
Therefore, the width of the movie theater screen is approximately β4876 feet.
11 months ago
3 inches wide, 5 inches tall, and 6-inch diagonal. Respond to the following questions:
1. If your team makes the new phone 2 inches wider and 1 inch taller, what is the new diagonal measurement? (Show work). Round your answer to the nearest hundredth.
2. If your team makes the new phone 1 inch wider and 2 inches taller, what is the new diagonal measurement? (Show work). Round your answer to the nearest hundredth.
use pathagorem therom
11 months ago
To find the new diagonal measurement, we can use the Pythagorean theorem. Let's denote the original width and height as 'w' and 'h' respectively, and the original diagonal measurement as 'd'.
Original measurements:
Width (w) = 3 inches
Height (h) = 5 inches
Diagonal (d) = 6 inches
1. If the new phone is made 2 inches wider and 1 inch taller:
New width = w + 2 inches = 3 + 2 = 5 inches
New height = h + 1 inch = 5 + 1 = 6 inches
Using the Pythagorean theorem:
(New height)^2 + (New width)^2 = (New diagonal)^2
(6 inches)^2 + (5 inches)^2 = (New diagonal)^2
36 inches^2 + 25 inches^2 = (New diagonal)^2
1296 inches^2 = (New diagonal)^2
Taking the square root of both sides:
New diagonal = β1296 inches
New diagonal β 36 inches
Therefore, if the new phone is made 2 inches wider and 1 inch taller, the new diagonal measurement is approximately 36 inches.
2. If the new phone is made 1 inch wider and 2 inches taller:
New width = w + 1 inch = 3 + 1 = 4 inches
New height = h + 2 inches = 5 + 2 = 7 inches
Using the Pythagorean theorem:
(New height)^2 + (New width)^2 = (New diagonal)^2
(7 inches)^2 + (4 inches)^2 = (New diagonal)^2
49 inches^2 + 16 inches^2 = (New diagonal)^2
2401 inches^2 = (New diagonal)^2
Taking the square root of both sides:
New diagonal = β2401 inches
New diagonal β 49 inches
Therefore, if the new phone is made 1 inch wider and 2 inches taller, the new diagonal measurement is approximately 49 inches.