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Alex787 [66]
2 years ago
10

When a figure rotates around a point, this point is called the

Mathematics
2 answers:
VikaD [51]2 years ago
8 0
The answer is: D - center of rotation
maxonik [38]2 years ago
7 0

Answer:

Your answer is D. center of rotation!

Step-by-step explanation:

A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.

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If AC=5cm, BC=12cm, and m AC= 40 degrees what is the radius of the circumscribed circle
melamori03 [73]
Let's assume they meant C=40 degrees.  With an angle like that they're asking for approximation; we'll oblige.

The circumradius is the product of the triangle sides divided by four times the area.

Here we have remaining side given by the Law of Cosines.

AB^2 = AC^2 + BC^2 - 2\ AC \ BC \cos C

AB^2 = AC^2 + BC^2  - 2 AC \ AB \cos C = 5^2 + 12^2 - 2(5)(12) \cos 40^\circ

AB = \sqrt{  169 - 120 \cos 40 ^\circ}  \approx 8.77921789

The area is \frac 1 2\ AC \ BC \sin C = \frac 1 2 (5)(12) \sin 40^\circ \approx 19.283628



The circumradius is  r \approx \dfrac{(5)(12)(8.77921789 )}{ 4 (19.283628) }  = 6.829019329




5 0
3 years ago
Can you help me with this??<br> please explain
zepelin [54]
Hello!

We separate this into three sections

we are looking for a graph that has a line where x is greater than -3 and less than -2 while the circles not shaded since it does have the or equal to sign

The graphs that have this is the first and the third

Next we can look for the graph that has x greater than or equal to -2 and less than 3 with the one at -2 shaded but the one at 3 not

The graph that follows this is the third graph

The answer is the third one

Hope this helps!
7 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE!! WILL GIVE BRAINLIEST!! Translate the algebraic expression shown below into a verbal expression.
Juli2301 [7.4K]
3. the quotient of some number and six
4 0
3 years ago
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Which of the following equations, where ddd is distance in miles and ttt is time in hours, represents a speed that is less than
Alexandra [31]

Answer:

c

Step-by-step explanation:

this helps

7 0
3 years ago
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The length of a rectangle is 4 cm less than it’s width. If the area of the rectangle is 165 cm^2. What are the dimensions of the
Monica [59]

Answer:

The dimensions are 11 cm by 15 cm

Step-by-step explanation:

Area of a rectangle = (length)(width).

Let L represent the length and W the width.

Since L = W - 4, we have

Area of rectangle = (W - 4)W = 165 cm^2.

Thus, w^2 - 4W - 165 = 0.  We can solve for W using the quadratic formula:

a = 1, b = -4 and c = -165.  Thus,

        -(-4) ± √ [ (-4)² - 4(1)(-165) ]

W = ---------------------------------------

                        2

         4 ± √ [16 + 660 ]

W = ------------------------------

                       2

         4 ± √ [ 676 ]                    4 ± 26

W = -----------------------  =   W = -------------  =  W  = 2 ± 13

                  2                                  2

Thus, W is 2 + 13 = 15.  It cannot be negative, so we discard 2 - 13 = -11.

If the width, W, is 15, then the length is 4 less, or L = 11.

The dimensions are 11 cm by 15 cm

6 0
3 years ago
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