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Dima020 [189]
3 years ago
15

What is the smallest degree of rotation that will map a regular 18 gon on to itself

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

  20°

Step-by-step explanation:

Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.

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Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

7 0
3 years ago
3x+4 = 4x+3 how many solutions are there
Aleks [24]
Only one

4x-3x=4-3
X=1
6 0
3 years ago
Read 2 more answers
Can you abstractly square the number, "0" ?
OLga [1]

Answer: No, you cannot.

Step-by-step explanation: A square number cannot be a perfect number.

The numbers: 0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201 are examples of perfect numbers.

4 0
3 years ago
To build a box, you find a square piece of cardboard that measures 10 inches on each side. From each corner of the cardboard, yo
Mumz [18]
The correct answer is 64 square units.

The area of the complete shape would be 100 square inches.
10 x 10 = 100

However, we have to remove the 4 corners. Each of the corners is 9 square inches. 3 x 3 = 9

100 - 4(9) = 64
6 0
3 years ago
Read 2 more answers
Solve for W!<br> W - 2.76 = 6.7
MariettaO [177]
W - 2.76 = 6.7

isolate the W by adding 2.76 to both sides of the equal sign

W - 2.76 (+2.76) = 6.7 (+2.76)

W = 6.7 + 2.76

W = 9.46

9.46 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
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