Refer to the diagram shown below.
The vector has a magnitude of a and a direction of θ degrees south of west.
Use the Pythagorean Theorem to calculate a.
a² = (-530)² + (-200)² = 320900
a = √(320900) = 566.48 mi ≈ 566.5 mi
By definition,
tan θ = (-200)/(-530) = 0.3774
θ = tan⁻¹ 0.3774 = 20.68° ≈ 21°
Answer: about 566.5 mi; 21° south of west.
This is a simple
Pythagorean Theorem problem.
So here we go:
Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.
We are trying to find the hypotenuse which is C in our Pythagorean Theorem.
Thus:
Add the squares:
Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).
Thus:
Answer:
2x + 6
Step-by-step explanation:
distribution
plz mark branliest
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
<h3>What is the x-intercept of the line?</h3>
Given the function;
X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.
3x - 5y = 7
3x - 5(0) = 7
3x - 0 = 7
3x = 7
x = 7/3
Hence, we have a point ( 7/3, 0 ).
The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).
Learn more about x and y-intercepts here: brainly.com/question/12791065
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