Question
Watch Video
Show Examples
Solve for xx to the nearest tenth.
4
10
x
2
Answer
Attempt 1 out of 2
To solve for x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
In this case, the two sides given are 4 and 10, and we are solving for the hypotenuse x.
Using the Pythagorean theorem:
x^2 = 4^2 + 10^2
x^2 = 16 + 100
x^2 = 116
x = √116
x ≈ 10.8
Therefore, x is approximately 10.8 to the nearest tenth.
Wrong
My apologies for the mistake in my previous attempt. Let's try solving for x again.
Using the Pythagorean theorem:
x^2 = 4^2 + 10^2
x^2 = 16 + 100
x^2 = 116
x = √116
x ≈ 10.8
Therefore, x is approximately 10.8 to the nearest tenth.
X is and angled line to connect with the line with 10 .
Thank you for the clarification. If x is an angled line connecting the line with 10, forming a right triangle, we need to use trigonometry to find the length of x.
Given:
Side adjacent to the angle x = 4
Side opposite to the angle x = 2
Hypotenuse = 10
We can use the tangent function to solve for x.
tan(x) = opposite/adjacent
tan(x) = 2/4
tan(x) = 0.5
Now, to find x:
x = tan^(-1)(0.5)
x ≈ 26.6 degrees
Therefore, the angle x is approximately 26.6 degrees.