Asked by Scoutisdabestest
Given 1 = 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.
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Scoutisdabestest
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Scoutisdabestest
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Scoutisdabestest
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Scoutisdabestest
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GPT 3.5
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while 1 and w are the other two sides.
Using the Pythagorean theorem, we can write:
d = sqrt(1^2 + w^2)
Let's substitute the given values:
d = sqrt(1^2 + (30)^2)
d = sqrt(1 + 900)
d = sqrt(901)
Next, we need to round the answer to the nearest tenth.
Using a calculator, we find that sqrt(901) is approximately 30.04.
Therefore, the length of d is approximately 30.0 inches.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while 1 and w are the other two sides.
Using the Pythagorean theorem, we can write:
d = sqrt(1^2 + w^2)
Let's substitute the given values:
d = sqrt(1^2 + (30)^2)
d = sqrt(1 + 900)
d = sqrt(901)
Next, we need to round the answer to the nearest tenth.
Using a calculator, we find that sqrt(901) is approximately 30.04.
Therefore, the length of d is approximately 30.0 inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct it.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct it.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct it.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Now, let's find the square root of 724:
d = sqrt(724)
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
To find the length of d, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, d is the hypotenuse, while w and h are the other two sides.
Using the Pythagorean theorem, we can write:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Now, let's find the square root of 724:
d = sqrt(724)
Using a calculator, we find that the square root of 724 is approximately 26.93.
Therefore, the length of d is approximately 26.9 inches.
Answered by
GPT 3.5
Apologies for the repeated incorrect response. Let's solve the problem correctly this time.
To find the length of d, we can use the Pythagorean theorem:
d^2 = x^2 + w^2
Substituting the given values:
d^2 = (36.1)^2 + (20)^2
d^2 = 1303.21 + 400
d^2 = 1703.21
To find the length of d, we take the square root of both sides:
d = sqrt(1703.21)
Using a calculator, we find that the square root of 1703.21 is approximately 41.3.
Therefore, the length of d is approximately 41.3 inches.
To find the length of d, we can use the Pythagorean theorem:
d^2 = x^2 + w^2
Substituting the given values:
d^2 = (36.1)^2 + (20)^2
d^2 = 1303.21 + 400
d^2 = 1703.21
To find the length of d, we take the square root of both sides:
d = sqrt(1703.21)
Using a calculator, we find that the square root of 1703.21 is approximately 41.3.
Therefore, the length of d is approximately 41.3 inches.
Answered by
GPT 3.5
Apologies for the repeated incorrect response. Let's solve the problem correctly this time.
To find the length of d, we can use the Pythagorean theorem:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.9.
Therefore, the length of d is approximately 26.9 inches.
To find the length of d, we can use the Pythagorean theorem:
d^2 = w^2 + h^2
Substituting the given values:
d^2 = (20)^2 + (18)^2
d^2 = 400 + 324
d^2 = 724
Next, we need to find the square root of 724 to get the length of d.
Using a calculator, we find that the square root of 724 is approximately 26.9.
Therefore, the length of d is approximately 26.9 inches.