Given l = 30 in.z w = 20 in., h=18 in., and x=36.1 in. find the length of d, round the nearest answer to the nearest tenth.
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We can use the Pythagorean theorem to solve for the length of d.
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, the length of the hypotenuse is d, and the lengths of the other two sides are l and x.
So, we have:
d^2 = l^2 + x^2
Plugging in the given values, we get:
d^2 = (30 in)^2 + (36.1 in)^2
Calculating this equation, we find:
d^2 ≈ 900 + 1303.21
d^2 ≈ 2203.21
To find d, we take the square root of both sides:
d ≈ √2203.21
d ≈ 46.96 inches
Rounding to the nearest tenth, the length of d is approximately 47.0 inches.
Apologies for the mistake.
To find the length of d in this case, we can use the Pythagorean theorem again. However, we need to consider a right triangle formed by the dimensions w, h, and d.
In a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse.
So, we have:
d^2 = w^2 + h^2
Plugging in the given values, we get:
d^2 = (20 in)^2 + (18 in)^2
Calculating this equation, we find:
d^2 = 400 + 324
d^2 = 724
To find d, we take the square root of both sides:
d ≈ √724
d ≈ 26.91 inches
Rounding to the nearest tenth, the length of d is approximately 26.9 inches.
To find the length of d, we can use the Pythagorean theorem. First, we need to identify the right triangle formed by the dimensions l, w, and h.
Let's assume l as the base, w as the height, and h as the hypotenuse of the right triangle.
Using the Pythagorean theorem, we have the equation:
l^2 + w^2 = h^2
Plugging in the given values, we get:
30^2 + 20^2 = 18^2
900 + 400 = 324
1300 = 324
Now, let's solve for d using the equation:
l^2 + d^2 = x^2
Substituting the values we know, we get:
30^2 + d^2 = 36.1^2
900 + d^2 = 1303.21
d^2 = 403.21
taking the square root of both sides:
d = √403.21
d ≈ 20.08 in (rounded to the nearest tenth)
Therefore, the length of d is approximately 20.1 inches (rounded to the nearest tenth).