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3 years ago

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a regular octagon is centered at the origin. give 2 transformations that will map the pre image onto itself

1 answer:

gogolik [260]3 years ago

8 0

A regular octagon centered at the origin can have a few transformations that will yield the same image. Octagons have rotational symmetry of 45 degrees so rotating increments of 45 degrees will move the octagon's image to the pre-image. examples could be rotating 45 degrees and rotating 90 degrees

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Pizza Paradise offers 4 types of crust, 10 toppings, and 8 kinds of cheese for the mega calzone. How many different mega calzone

Bumek [7]

Answer:

26880 ways

<em></em>

Step-by-step explanation:

Given

$Crust = 4$

$Toppings = 10$

$Cheese = 8$

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in $^4C_1$ ways

For the toppings:

3 can be selected from 10 in $^{10}C_3$ ways

For the cheeses:

3 can be selected from 8 in $^{8}C_3$ ways

Total number of selection is:

$Total = ^4C_1 * ^{10}C_3 * ^{8}C_3$

Apply combination formula:

$Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}$

$Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}$

$Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}$

$Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}$

$Total = 4 * \frac{720}{6} * \frac{336}{6}$

$Total = 4 * 120* 56$

$Total = 26880$

<em>Hence, there are 26880 ways</em>

5 0

3 years ago

Which number is the least??<br><br> A. 0<br><br> B. -4<br><br> c. -2<br><br> D. 4

jonny [76]

Answer: B -4

Step-by-step explanation:

6 0

3 years ago

Erion plans to tile the floor of his kitchen. The kitchen is 11 feet by 15 feet. The tiles he will be using are square, measurin

Luba_88 [7]

Answer:

First, find the area for the kitchen floor: 16.5*15=247.5 squared feet

Then find the area for one tile: 0.5*0.5=0.25 squared feet

Finally, divide the mayor area between the minor: 247.5/0.25= 990 tiles.

Also you can do it in this another way:

First, divide length of the kitchen floor between the length of one tile: 16.5/0.5=33

Then, do the same for the height: 15/0.5=30

Finally multyply both results: 33*30= 990 tiles.

Step-by-step explanation:

or just 990

7 0

3 years ago

Read 2 more answers

A baseball pitcher has pitched 98 2/3 innings. What is the number of innings written as a decimal

vredina [299]

Idk but i think it's 98.66.

6 0

3 years ago

Richard had 180 total minutes to do

zaharov [31]

3(x+4)= 3x+12
3x+12+x+3+x=5x + 15
5x+15=180
5x=180-15
5x=165
x=165/5
x= 33min

mowing the grass = 3(x+4)
= 3(33+4)
=99+12
=111 min mowing grass

3 0

3 years ago