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tankabanditka [31]
3 years ago
6

Which rotation about its center will carry a regular decagon onto itself

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0

Answer:

The answer is any multiple of 36.

Step-by-step explanation:

A decagon has 10 sides, and it has 10 exterior angles of 36° as can be seen in the picture.

Therefore, by rotating the decagon about its center by multiples of 36° will carry a regular decagon onto itself.

Any multiple of 36 could be: 36, 72, 108, 144, 180, 216, 252, 288, etc...

snow_lady [41]3 years ago
3 0
A decagon has 10 sides so every 36 degrees, you would encounter another side.
So, the answer is a 36 degree rotation.

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Evaluate 15/5 + 40 . 7 - 3 to the power of 4.
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3 years ago
(x+y=3<br> (3x+2y=14<br> what is the coordinates for this problem
Ludmilka [50]


<span>3x - 2y + 2y > -14 + 2y </span>

<span>3x + 0 > -14 + 2y </span>

<span>3x > -14 + 2y </span>

<span>3x + 14 > -14 + 14 + 2y </span>

<span>3x + 14 > 0 + 2y </span>

<span>3x + 14 > 2y </span>

<span>(3x + 14)/2 > 2y/2 </span>

<span>(3x + 14)/2 > y*(2/2) </span>

<span>(3x + 14)/2 > y*(1) </span>

<span>(3x + 14)/2 > y </span>

<span>y < (3x + 14)/2 </span>

<span>y < 3x/2 + 14/2 </span>

<span>y < 3x/2 + 7 </span>

<span>y < (3/2)*x + 7 </span>

<span>“y” is LESS THAN (3/2)*x + 7 </span>

<span>the slope intercept form of the inequality is: y < (3/2)*x + 7 </span>


<span>STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. </span>

<span>y < (3/2)*x + 7 </span>

<span>y = (3/2)*x + 7 </span>


<span>STEP 3: Prepare the x-y table using the equation from Step 2. </span>

<span>Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. </span>

<span>Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. </span>

<span>You can choose any value for x. </span>


<span>For example, (arbitrarily) choose x = -2 </span>

<span>If x = -2, </span>

<span>y = (3/2)*x + 7 </span>

<span>y = (3/2)*(-2) + 7 </span>

<span>y = 4 </span>
4 0
3 years ago
A 5.1-ft-tall person walks away from a 12-ft lamppost at a constant rate of 3.9 ft/sec. What is the rate that the tip of the per
nekit [7.7K]

Answer:

6.78ft/sec

Step-by-step explanation:

From the question, dx/dt= 3.9 ft/sec

We are looking for Dy/dt

From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb

12/y= 5.1/(y-x)

Then ,cross multiply, we have

12(y-x)=5.1y

12y-12x=5.1y

12y-5.1y=12x

6.9y=12x

y=( 12/6.9)x

Differentiating implicitly the bother sides with respect to t, we have

Dy/dt= ( 12/6.9)dx/dt

But dx/dt= 3.9 ft/sec

Then Dy/dt= ( 12/6.9)× 3.9

Dy/dt=6.78ft/sec

Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec

CHECK THE ATTACHMENT FOR THE FIQURE

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3 years ago
What the area of this shape ​
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Answer:it is 6,930

Step-by-step explanation:

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