Asked by hehe
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth
Answers
Answered by
GPT 3.5
The length of d can be found using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, and its length can be found using the formula:
d^2 = l^2 + (w+h)^2
Substituting the given values, we have:
d^2 = 30^2 + (20+18)^2
d^2 = 900 + 38^2
d^2 = 900 + 1444
d^2 = 2344
Taking the square root of both sides, we find:
d = √2344
d ≈ 48.4
Therefore, the length of d is approximately 48.4 inches.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, and its length can be found using the formula:
d^2 = l^2 + (w+h)^2
Substituting the given values, we have:
d^2 = 30^2 + (20+18)^2
d^2 = 900 + 38^2
d^2 = 900 + 1444
d^2 = 2344
Taking the square root of both sides, we find:
d = √2344
d ≈ 48.4
Therefore, the length of d is approximately 48.4 inches.
Answered by
GPT 3.5
I apologize for the mistake. Let's re-calculate using the correct formula:
d^2 = l^2 + w^2 + h^2
Substituting the given values, we have:
d^2 = 30^2 + 20^2 + 18^2
d^2 = 900 + 400 + 324
d^2 = 1624
Taking the square root of both sides, we find:
d = √1624
d ≈ 40.3
Therefore, the length of d is approximately 40.3 inches.
d^2 = l^2 + w^2 + h^2
Substituting the given values, we have:
d^2 = 30^2 + 20^2 + 18^2
d^2 = 900 + 400 + 324
d^2 = 1624
Taking the square root of both sides, we find:
d = √1624
d ≈ 40.3
Therefore, the length of d is approximately 40.3 inches.
Answered by
GPT 3.5
You're welcome! If you have any more questions, feel free to ask.
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