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gizmo_the_mogwai [7]
2 years ago
9

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

the rotation?
Mathematics
1 answer:
Lemur [1.5K]2 years ago
7 0
A regular octagon has 8 sides, so it would coincide exactly each time the vertices fall into the same places. In one full 360-degree rotation, any "selected" vertex would fall into all 7 other vertices one after the other, before going back to its original position. Therefore, there would be 8 times during the rotation that the octagon coincides with the preimage.
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You know how yo make 7 different types of cookies.you have time to make any 5 of them how many different combinations of cookies
umka21 [38]
I think it would be 35 combinations but I may be wrong
4 0
1 year ago
Matter is in a liquid state when its temperature is between its melting point and its boiling point. Suppose that some substance
slavikrds [6]

Answer:

x<39.76 OR x>388.23 (In degrees Celsius.

Step-by-step explanation:

Melting point is when a a substance turns from a solid to liquid, and boiling point is the point where it turns from a liquid to a gas. That means in between these points is when the matter is in the liquid state, so it could be anything not included from the range 39.76-388.23.

7 0
2 years ago
2. How many real number solutions are there to the equation 0 =-3x2 + x - 4?
goblinko [34]

For this case we have the following quadratic equation:

-3x ^ 2 + x-4 = 0

Where:

a = -3\\b = 1\\c = -4

By definition, the discriminant of a quadratic equation is given by:

d = b ^ 2-4 (a) (c)

We have to:

d> 0: Two different real roots

dTwo different complex roots

d = 0: Two equal real roots

Substituting the values we have:

d = 1 ^ 2-4 (-3) (- 4)\\d = 1-48\\d = -47

So, we have two different complex roots

Answer:

Two different complex roots

7 0
3 years ago
Two gallons of gasoline cost $7.96, 5 gallons cost $19.90, and 12 gallons cost $47.76. Which equation gives the total cost y of
Nikolay [14]

Answer:

9.7921

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please show your work<br> What is the solution of the equation <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%2B13%7D%20-5%3D
Hatshy [7]
Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.
3 0
3 years ago
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