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Juliette [100K]
3 years ago
10

Write a polynomial function of least degree with rational coefficients so that P (x)=0 has the given root. 3-5i

Mathematics
1 answer:
alexira [117]3 years ago
8 0
Will not be anything
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A 150 cm pendulum swings through an arc which measured 100pi cm. In exact radians, through what angle does it swing?
choli [55]

Answer:

Pendulum will swing by an angle 0.666π

Step-by-step explanation:

We have given arc = 100\pi cm

And length of the pendulum l = 150 cm

Length of the pendulum will be equal to radius of the pendulum so r = 150 cm

Arc is given by arc=radius\times angle

So 100\pi =150\times\times  \Theta

\Theta =0.666\pi

So pendulum will swing by an angle 0.666π

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3 years ago
Abby takes a ride-sharing service to ride from her home to the mall. The ride-sharing service charges $1.75 per mile plus a one-
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Answer:

do u know the awnser?

Step-by-step explanation:

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2 years ago
Free pionts for brainlist pleas​
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Sodium oxide is a simple strongly basic oxide. It is basic because it contains the oxide ion, O2-, which is a very strong base with a high tendency to combine with hydrogen ions. Reaction with water: Sodium oxide reacts exothermically with cold water to produce sodium hydroxide solution

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3 years ago
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A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

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3 years ago
Which statements are true? Check all that apply.
Aleksandr-060686 [28]

Answer:

um ok i do not know

Step-by-step explanation:

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