find a polynomial equation of the lowest degree with rational coefficients whose one root is (cbrt 2 + 3*cbrt 4)

Mathematics

1 answer:

sweet-ann [11.9K]1 year ago

3 0

Answer:

poly Gon have $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$ $\huge\color{blue}{ \rule{1pt}{999999pt}}$

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A polygon has an area of 225 square meters. If the area is tripled, how does each side length change?

krok68 [10]

Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has each of them a length which can be represented by y

A = 1/4 * xy^2 * Cot(180/x) 
The purpose is to solve for y, so we get 
y^2 = 4A/(xCot(180/x)) 
y = √(4A/(xCot(180/x)))

The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
Z = √(4/(xCot(180/x)))
so
Y = Z√A
If we increase area by a factor s, y increases by a factor of √x.
So if you want to know the triple then you need to increase it by √3

3 0

2 years ago

A rope from the top of a mast on a sailboat is attached to a point 6 feet from the base of the mast. If the rope is 24 feet long

Zanzabum

Answer: It is about 23 feet.

Step-by-step explanation:

1. Let's call x the height of the mast.

2. You know that the rope is attached to a point 6 feet from the base of the mast and the rope is 24 feet long, therefore, you can draw the right triangle shown in the figure attached.

3. To calculate x, you must apply the Pythagorean Theorem as you can see below:

$x=\sqrt{(24ft)^{2}-(6ft)^{2}}\\x=\sqrt{540ft^{2}}$