When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational<span> symmetry. </span>rotational<span> symmetry</span>order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and anorder<span> of </span>rotational<span> symmetry of 6.</span>
Answer:
Step-by-step explanation:
![6^{2} + 8^{2} = c^{2}](https://tex.z-dn.net/?f=6%5E%7B2%7D%20%2B%208%5E%7B2%7D%20%3D%20c%5E%7B2%7D)
![36 + 64 = c^{2}](https://tex.z-dn.net/?f=36%20%2B%2064%20%3D%20c%5E%7B2%7D)
![100 = c^{2}](https://tex.z-dn.net/?f=100%20%3D%20c%5E%7B2%7D)
![c = 10](https://tex.z-dn.net/?f=c%20%3D%2010)
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
Answer:
Explained below
Step-by-step explanation:
We know (hopefully) that 100 centimeters is equal to 1 meter.
The expression should essentially be 400/50.
400/50 = 8
Victor would need 8 books to make a tower with the height of 4 meters.
By the way 50 centimeters per book is a pretty hefty book, would be as thick as my hand pointing upwards.
Answer:
f(-3) =8
Step-by-step explanation: