From a number box from 8 to -3 and side wise is from -6 to 4 What is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary.
To find the length of the diagonal of the rectangle, we can use the Pythagorean theorem.
The length of the rectangle is the difference between the two endpoints of the number box: 8 - (-3) = 11.
The height of the rectangle is the difference between the two endpoints of the side-wise range: 4 - (-6) = 10.
Now we can use the Pythagorean theorem:
Diagonal^2 = Length^2 + Height^2
Diagonal^2 = 11^2 + 10^2
Diagonal^2 = 121 + 100
Diagonal^2 = 221
Diagonal = √221
Rounding to the nearest hundredth, the length of the diagonal is approximately 14.87.
Find the distance between (2, 3) and (−4, −9) . Round your answer to the nearest hundredth, if necessary.(1 point)
To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
For the given points (2, 3) and (-4, -9), we can substitute the values into the formula:
Distance = √((-4 - 2)^2 + (-9 - 3)^2)
Distance = √((-6)^2 + (-12)^2)
Distance = √(36 + 144)
Distance = √180
Rounding to the nearest hundredth, the distance between the two points is approximately 13.42.
Find the distance between (−8, −3) and (−2, −5) . Round your answer to the nearest hundredth, if necessary.(1 point)
To find the distance between two points (x1, y1) and (x2, y2) in a coordinate plane, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
For the given points (-8, -3) and (-2, -5), we can substitute the values into the formula:
Distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
Distance = √((6)^2 + (-2)^2)
Distance = √(36 + 4)
Distance = √40
Rounding to the nearest hundredth, the distance between the two points is approximately 6.32.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
To find the length of the diagonal of a square, we can use the Pythagorean theorem.
Let's assume the length of one side of the square is "s". Then, the diagonal would be the hypotenuse of a right triangle with sides of length "s".
Using the Pythagorean theorem, the diagonal^2 = s^2 + s^2 = 2s^2.
To find the length of the diagonal, we take the square root of 2s^2:
Diagonal = √(2s^2) = s√2.
Rounding to the nearest hundredth, we can leave the answer as s√2.
My bad I didn't add the answer choices here's the real question:
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
Answer Choices:
* 4
* 2.83
* 4.24
* 8
To find the length of the diagonal of a square, we can use the Pythagorean theorem.
Let's assume the length of one side of the square is "s". Then, the diagonal would be the hypotenuse of a right triangle with sides of length "s".
Using the Pythagorean theorem, the diagonal^2 = s^2 + s^2 = 2s^2.
To find the length of the diagonal, we take the square root of 2s^2:
Diagonal = √(2s^2).
Now let's look at the answer choices:
* 4: This is not the correct length of the diagonal.
* 2.83: This is approximately √8, which is the correct length of the diagonal rounded to the nearest hundredth.
* 4.24: This is approximately √18, which is not the correct length of the diagonal.
* 8: This is not the correct length of the diagonal.
Therefore, the correct answer is 2.83.
Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) . Round your answer to the nearest hundredth, if necessary. (1 point)
Answer Choices:
* 5.38
* 29
* 2.65
* 4.58