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 what is the answer?
To find the length of d, we can use the Pythagorean theorem.
In a right-angled triangle, d would be the hypotenuse. We can find the length of d by using the formula:
d = √(l^2 + w^2 + h^2)
Plugging in the given values:
d = √(30^2 + 20^2 + 18^2)
= √(900 + 400 + 324)
= √1624
Using a calculator, we can find the square root of 1624 ≈ 40.3
Rounding to the nearest tenth, d is approximately 40.3 inches.
To find the length of d, we need to use the given parameters and the formula for the length of a diagonal of a rectangular prism.
The formula is:
d = √(l² + w² + h²)
where d is the length of the diagonal, l is the length, w is the width, and h is the height.
We are given:
l = 30 in.
w = 20 in.
h = 18 in.
Using these values in the formula, we can find the length of d:
d = √(30² + 20² + 18²)
d = √(900 + 400 + 324)
d = √(1624)
d ≈ 40.3
Therefore, the length of d, rounded to the nearest tenth, is approximately 40.3 inches.
To find the length of d, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the sides of the triangle are l, w, and d. We can use the Pythagorean Theorem to solve for d.
Using the given values:
l = 30 in.
w = 20 in.
h = 18 in.
We can set up the equation as follows:
h^2 + (l+w)^2 = d^2
Substituting the values:
18^2 + (30+20)^2 = d^2
Simplifying:
324 + 50^2 = d^2
324 + 2500 = d^2
2824 = d^2
Taking the square root of both sides:
d = √2824
Rounding to the nearest tenth:
d ≈ 53.1 in.
Therefore, the length of d is approximately 53.1 inches.