The rectangular coordinates of a point are given. Find polar coordinates (r,θ) of this point with expressed in radians. Let r>0 and -2π (-2√3,2)
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Answer:
To find the polar coordinates (r, θ) of the point (-2√3, 2), you can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y / x)
In this case:
x = -2√3
y = 2
Let's calculate r and θ:
r = √((-2√3)^2 + 2^2)
r = √(12 + 4)
r = √16
r = 4
Now, calculate θ:
θ = arctan(2 / (-2√3))
First, find the angle in radians from the arctan:
θ = arctan(-√3)
θ ≈ -π/3 (in radians)
So, the polar coordinates of the point (-2√3, 2) are approximately (4, -π/3) in radians.
Step-by-step explanation:
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Final Answer:
Any shape can be used as the profile for a detail view just as long as it is a closed contour.
Explanation:
A detail view is a common technique in engineering and technical drawing used to magnify a specific portion of a complex object for a more detailed examination. The profile of this magnified portion, often referred to as the "cutting plane" or "profile," can indeed take on various shapes. However, it is crucial that this shape forms a closed contour.
A closed contour is a shape with no open ends or gaps, which means that it is a continuous and uninterrupted boundary. This is essential because a closed contour ensures that the detail view accurately represents the specific area of interest without missing any critical details. If the contour were not closed, it would lead to an inaccurate portrayal of the object and could result in misunderstandings or errors during the manufacturing or construction process.
In technical drawing and engineering, precision is paramount, and using a closed contour for the profile of a detail view guarantees that the depiction is accurate and complete. It allows engineers, architects, and manufacturers to focus on specific areas while maintaining the integrity of the overall design.
Learn more about contour
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Answer:
(x -4)^2 = 13
Step-by-step explanation:
To solve this equation using the completing the square method;
x^2 - 8x + 3 = 0
The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.
The equation becomes;
x^2 - 8x = -3
The next step is to add square of half of the coefficient of x to both-side of the equation. That is; you will add (-4)^2 to both-side of the equation.
x^2 - 8x + (-4)^2= -3 + (-4)^2
Then, we factorize the left hand side of the equation and our equation
(x - 4)^2 = -3 + (-4)^2
The we simplify the right-hand side of the equation
(x - 4)^2 = -3 + 16
(x - 4)^2 = 13
Answer B
x²-8x+3=0
==>x²-2*4*x+16-13=0
==>(x-4)²=13
(2cos2x)/(sin2x) - cotx - tanx = -2tanx
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Answer:
((x)h)g
Step-by-step explanation:
Hope this helps and if this is wrong then please comment the right answer and I will edit it thanks :)
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(x1,y1) and (x2,y2)
slope=rise/run so
slope=(y2-y1)/(x2-x1)