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.

Answer 1

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.

Answer 2

wrong

Answer 3

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.