given l = 30 in., w = 20 in., h = 18in., and x = 36.1 in., find the length of d. Round the answer to the nearest tenth.
_ in.
To find the length of "d", we can use the Pythagorean Theorem.
d^2 = l^2 + w^2 + h^2
Substitute the given values:
d^2 = 30^2 + 20^2 + 18^2
d^2 = 900 + 400 + 324
d^2 = 1624
Now, we can solve for "d":
d = sqrt(1624)
d ≈ 40.3 in.
Therefore, the length of "d" is approximately 40.3 inches.
so, what is x?
Since x is not used in the calculation of the length of "d", we can find x by using the Pythagorean Theorem in a different context.
In a right triangle with sides x, l, and w, we can write:
x^2 = l^2 + w^2
Substitute the given values:
x^2 = 30^2 + 20^2
x^2 = 900 + 400
x^2 = 1300
Now, solve for x:
x = sqrt(1300)
x ≈ 36.1 inches
Therefore, the value of x is approximately 36.1 inches.