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Alecsey [184]
2 years ago
5

Id just like the awnser please.

Mathematics
1 answer:
rewona [7]2 years ago
3 0

Answer:

A. 32/.0333333 = 1

   20/ .066666]

   8/.1

   -4/.3

    b. 125

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the x and y axis are tangent to a circle with radius 3 units. write a standard equation of the circle.
Mekhanik [1.2K]

Given:

The x and y axis are tangent to a circle with radius 3 units.

To find:

The standard form of the circle.

Solution:

It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.

We know that the radius of the circle are perpendicular to the tangent at the point of tangency.

It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=3,k=3,r=3, we get

(x-3)^2+(y-3)^2=3^2

(x-3)^2+(y-3)^2=9

Therefore, the standard form of the given circle is (x-3)^2+(y-3)^2=9.

3 0
2 years ago
the Golden Ratio, is present not just in mathematics, but may also be present within your own brain and body (at the atomic or s
Anton [14]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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8 0
3 years ago
Math:
Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
3 years ago
Find the value of the variable.
anzhelika [568]

Answer:

hope this helps you look it once.

8 0
2 years ago
The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given
garik1379 [7]

Answer:

area = \frac{8}{3}pie ft^2

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = \frac{60}{360}*pie*4^2

area = \frac{1}{6}*pie*16

area = \frac{1*16}{6}*pie

area = \frac{16}{6}*pie

area = \frac{8}{3}pie ft^2

Area of the sector = 8/3π ft²

5 0
3 years ago
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