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.
To find the length of d, we first need to understand the given information and the relationship between the variables.
Based on the given information, we have:
l = 30 inches: This represents the length of an object, such as a rectangular prism.
w = 20 inches: This represents the width of the same object.
h = 18 inches: This represents the height of the same object.
x = 36.1 inches: It is not explicitly mentioned what x represents in this context, so we will assume it is related to the object's dimensions.
To find the length of d, we can consider the object as a rectangular prism. The length (l), width (w), and height (h) determine the dimensions of the prism. However, since x is given, it might be related to the diagonal of the rectangular prism.
In a rectangular prism, the diagonal (d) can be found using the formula:
d = √(l^2 + w^2 + h^2)
where ^ represents exponentiation.
Plugging in the given values:
d = √(30^2 + 20^2 + 18^2)
d = √(900 + 400 + 324)
d = √1624
Now, to round the answer to the nearest tenth, we need to calculate √1624:
d ≈ 40.3 inches (rounded to the nearest tenth)
Therefore, the length of d 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 triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse).
In this case, the length of d is the hypotenuse of a right triangle with legs l and w.
Using the Pythagorean Theorem, we have:
d^2 = l^2 + w^2
Substituting the given values, we have:
d^2 = 30^2 + 20^2
d^2 = 900 + 400
d^2 = 1300
Taking the square root of both sides, we have:
d = √1300
d ≈ 36.06
Rounding to the nearest tenth, the length of d is approximately 36.1 inches.
To find the length of d, we can use the Pythagorean theorem, which 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, let's consider the right-angled triangle formed by the dimensions l, w, and d.
Using the Pythagorean theorem, we have:
d² = l² + w²
Substituting the given values:
d² = (30 in.)² + (20 in.)²
d² = 900 in² + 400 in²
d² = 1300 in²
To solve for d, we need to take the square root of both sides:
d = √(1300 in²)
Now, we can substitute the value of x into the equation:
d = √(1300 in²)
d = √(1300 in²)
d ≈ √(1300)
d ≈ 36.06 in
Rounding the answer to the nearest tenth, the length of d is approximately 36.1 inches.