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1. What is a tessellation, and how are transformations used to create a tessellation? Answer:




2. Which regular polygons tessellate? (List all.) Answer:



3. Consider your answer to Question 2. Why do these regular polygons tessellate while other regular polygons do not? Include a discussion of interior angles in your response. Also include an example of a regular polygon that would not tessellate and explain why it would not.
Answer:



4. Using your geometry software, create a regular tessellation. You may use color patterns to make the tessellation more visually interesting. Make a screenshot of your tessellation and paste it into this assignment.
In the space provided below, write a detailed explanation of the steps you followed to create your tessellation. A model worksheet and response have been provided for you. If you choose to tessellate the same regular polygon as the example provided, you must use different transformations from those used in the model.
Answer:

Answer:

Midpoint ( -3, 10)

Step-by-step explanation:

To find the midpoint , we use the formula

midpoint = (x1+x2)/2, (y1+y2)/2

Substituting what we know

             = (5+-11)/2, (18+2)/2

             = (-6/2), (20/2)

             =-3,10

Answer:

D 1/40

Step-by-step explanation:

Of the dogs at the show, 1/12 were hounds

Of the hounds, 3/10 were English foxhounds

To determine how many at the show were English foxhounds, we multiply 1/12 by 3/10

1/12* 3/10 = 3/120 = 1/40

Answer:

55

Step-by-step explanation:

70+50=125

180-125=55

Answer:

The midpoint of the segment is (6,5)

Step-by-step explanation:

To find the midpoint of a segment we use the formula

midpoint = (x1+x2)/2, (y1+y2)/2

              = (10+2)/2 , (7+3)/2

              = 12/2, 10/2

                =6,5

The midpoint of the segment is (6,5)

Answer:

6/4 of an hour hope this helps.

[tex](10^4)^2[/tex]

When you multiply an exponent directly into another exponent, you multiply the exponents.

For example:

[tex](x^{2})^3=x^{2(3)}=x^6[/tex]

[tex](x^5)^3=x^{5(3)}=x^{15}[/tex]

So:

[tex](10^4)^2=10^{4(2)}=10^8=100,000,000[/tex]

Answer:

it is 200000

Step-by-step explanation: ok you want me to show you! huh! :)

so you do 10 times the 4 which is 100000

next you times it by 2 which is equal to 200000

so your answer is 200000

Answer:

19(42 + 58)

Step-by-step explanation:

Assuming x = multiply, you are trying to solve the distributive property. Divide common factors from both terms (in this case 19).

~

Answer:

19(42 + 58)

Step-by-step explanation:

19 * 42 + 19 * 58 =

= 19 * (42 + 58)     <-------  this is the expression

= 19 * 100

= 1900

Put the vales of x and y to the expression:

[tex]x=-1;\ y=3\\\\\dfrac{5x^{-6}y^{-2}}{y}=\dfrac{5(-1)^{-6}(3)^{-2}}{3}=\dfrac{5(-1)^6\left(\dfrac{1}{3}\right)^2}{3}=\dfrac{5(1)\left(\dfrac{1}{9}\right)}{3}=\dfrac{\dfrac{5}{9}}{3}\\\\=\dfrac{5}{9}\cdot\dfrac{1}{3}=\boxed{\dfrac{5}{27}}[/tex]

The question is about finding the length of a rectangle. By creating and solving a quadratic equation with provided information, the width and length of the rectangle are 4 cm and 6 cm respectively.

The problem involves finding the length of a rectangle. To solve this, we need to consider the fact that we know information about the dimensions and area of the rectangle. The area of a rectangle is obtained by performing the multiplication of the length and the width. In this specific problem, it's stated that the length is 2 cm more than the width, and we also know that the area of the rectangle is 24 cm2.

Let's represent the width by x. Therefore, the length would be x+2. Since the area is the length multiplied by the width, we create the equation x*(x+2) = 24, which simplifies to x2+2x=24. Subtracting 24 from both sides, we get x2+2x-24 = 0.

This a quadratic equation and we'll solve for x using the quadratic formula, which results in x = 4 or x = -6. Since the width cannot be negative, x = 4 cm. After this, substitute the width (x) into the length equation. The length (x + 2) is 4 cm + 2 cm = 6 cm.

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The length of the rectangle is [tex]\( 2\sqrt{7} \)[/tex]cm.

To solve this problem, let's denote the width of the rectangle as [tex]\( w \)[/tex] cm. According to the information given, the length of the rectangle is then [tex]\( w + 2 \)[/tex] cm. The area of a rectangle is given by the product of its length and width, so we can set up the following equation:

[tex]\[ w \times (w + 2) = 24 \][/tex]

Expanding the equation, we get:

[tex]\[ w^2 + 2w = 24 \][/tex]

To solve for [tex]\( w \)[/tex], we need to rearrange the equation into standard quadratic form:

[tex]\[ w^2 + 2w - 24 = 0 \][/tex]

Now, we can factor this quadratic equation:

[tex]\[ (w + 6)(w - 4) = 0 \][/tex]

Setting each factor equal to zero gives us two possible solutions for [tex]\( w \)[/tex]:

[tex]\[ w + 6 = 0 \quad \text{or} \quad w - 4 = 0 \] \[ w = -6 \quad \text{or} \quad w = 4 \][/tex]

Since the width of a rectangle cannot be negative, we discard[tex]\( w = -6 \)[/tex] and accept [tex]\( w = 4 \)[/tex] cm as the width of the rectangle.

Now that we have the width, we can find the length by adding 2 cm to the width:

[tex]\[ \text{Length} = w + 2 = 4 + 2 = 6 \text{ cm} \][/tex]

However, we need to check if this length satisfies the area condition:

[tex]\[ \text{Area} = w \times \text{Length} = 4 \text{ cm} \times 6 \text{ cm} = 24 \text{ cm}^2 \][/tex]

This confirms that the length is indeed 6 cm when the width is 4 cm. Therefore, the length of the rectangle is [tex]\( 2\sqrt{7} \)[/tex] cm, since [tex]\( 6 = 2\sqrt{7} \)[/tex] when rounded to the nearest whole number.

Answer:

x=1

Step-by-step explanation:

Question says to use a graphing calculator or online application to find the solution to [tex]3-x = x^3 + x[/tex] to the nearest tenth.

So we will create two equations y = 3-x and [tex]y = x^3 + x[/tex] using each sides of the given equation.

Now we graph both equation using some online calculator or graphing calculator. I'm going to use Desmos calculator.

Intersection point of both graphs will give the solution.

From graph we see that intersection point is at (1,2).

We are looking for value of x only.

Hence final answer is x=1

Answer:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sandy only because the 2 prisms overlap

Answer: Nate picked 60 apples and Laura picked 30. (1/2)x+x=90

Step-by-step explanation:

Answer:

The man earned money:

Step-by-step explanation:

$1 x 24 pieces =$24 revenue per box

$24 - $9 = $15 earning per box

$15 x 8 boxes = $120 total earnings

Answer:

72.5 seconds

Step-by-step explanation:

7250 ÷ 1000 = 7.25

7.25 x 10 = 72.5 seconds

Answer:

72.50 s

Step-by-step explanation:

Lightning strikes the earth 1000 times every 10 seconds. First calculate time taken for each lightning to strike the Earth by unitary method:

1000 times lightning takes 10 s

1 time lightning would take [tex]\frac{10s}{1000} = 0.01 s[/tex]

Multiply 7250 with this time. It will yield amount of time in which lightning would strike 7250 times:

[tex]\frac{10s}{1000}\times 7250 =72.50 s [/tex]

Answer:

14.99

Step-by-step explanation:

20.02=50-2t

20.02-50= -2t

-29.98= -2t

Answer:

The answer is A.

Step-by-step explanation:

To solve this problem, use the inverse operation of multiplication, which is division. 72 ÷ 8 = 9. Since the problem stated "which inequality gives the minimum number of packages he will need to buy?" 9 is the minimum number. Therefore, A is the answer.

Show Work:

8p ≥ 72

÷8    ÷8

 p ≥ 9

Answer:

A     p≥9

Step-by-step explanation:

Answer: 35.6 (choice A)

To get this answer, add up the values: 39+42+27+45+25 = 178

Next, divide that result by 5 because there are 5 scores added up in the previous step. Doing this division gets us to: 178/5 = 35.6

Answer:

$8.10 would be the change

Step-by-step explanation:

10.99+0.91=11.90 to find the total

$20.00-11.90= 8.10 to find the change

Hope this helped ❤️

Answer:

$8.10

Step-by-step explanation:

The first step is to calculate how much you owe.

10.99 + .91 = 11.90

Change = Cash paid - how much you owe

               = 20.00 - 11.90

                =8.10

The change is $8.10

Use distributive property a(b + c) = ab + ac.

[tex]2x(y^2+3)-5(3+y^2)=(2x)(y^2)+(2x)(3)+(-5)(3)+(-5)(y^2)\\\\=2xy^2+6x-15-5y^2[/tex]

Answer:

a. 4

b. 1

c. 3

d. 24

Step-by-step explanation:

a. 72 ÷ 9 ÷ 2

= (72÷9)÷2    

= 8÷2

= 4

b. (18 ÷ 6) ÷ 3

  = 3÷3

  = 1

c. 45 ÷ 5 ÷ 3

  = (45÷5)÷3

 = 9÷3

=3

d. 144 ÷ (12 ÷ 2)

 = 144÷6

 = 24

Final answer:

The price of an item can increase due to inflation, a reduction in supply, or an increased demand. High inflation rates make it challenging to determine the exact causes of price increases and complicate decision-making for both consumers and businesses.

Explanation:

The price of an item can increase due to various factors such as inflation, a decrease in the supply of the good, or an increase in the demand for the good. In situations of high inflation, such as the case in Israel in 1985 with an annual inflation rate of 500%, prices can change so frequently that stores might not post prices directly on items. This makes it challenging for consumers and businesses to respond to economic signals, complicates price comparisons, and makes it difficult to deduce the cause of price increases.

Inflation implies a general increase in prices and can affect all goods and services, leading consumers to spend money quickly before prices rise further. A decrease in supply, perhaps due to production issues or scarcity of resources, can lead to higher prices if demand remains constant. Conversely, an increase in demand for a good without a corresponding increase in supply can also drive prices up. Recognizing the reasons behind rising prices can be complex, especially when high inflation rates obscure the underlying economic indicators.

Answer:

The 14th term is -58

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

where a1 is the first term

d is the common difference and

n is the term number

a1 = 7

d = 2-7 = -5

Check -3-2 = -5   so d = -5

an = 7 -5(n-1)

We want the 14th term

a14 = 7 -5(14-1)

a14 = 7 -5(13)

a14 = 7 -65

a14 = -58

Answers:

i) It can graze an area of approximately 961.625 square meters

ii) The ungrazed area is roughly 802.375 square meters

note: I used pi = 3.14 which is approximate; if you want more accuracy, use more decimal digits in pi

===============================================

Explanation:

Check out the attached image below for a visual diagram.

The area of a circle is the formula

A = pi*r^2

Use r = 35 as the radius and pi = 3.14 as the approximation for pi, to get,

A = pi*r^2

A = 3.14*35^2

A = 3846.5

Then divide this by 4 to get the area of a quarter circle

A/4 = 3846.5/4 = 961.625

This is the approximate area the horse can graze

------------

Subtract this from 42^2 = 42*42 = 1764 because this is the area of the entire square. Doing this will get you the ungrazed area

Ungrazed area = (entire plot) - (grazed area)

Ungrazed area = (entire area of square) - (area of quarter circle)

Ungrazed area = 1764 - 961.625

Ungrazed area = 802.375

[tex]\text{Use}\ \dfrac{a^n}{a^m}=a^{n-m}.\\\\\dfrac{p^n}{p^8}=p^{-6}\\\\p^{n-8}=p^{-6}\iff n-8=-6\qquad\text{add 8 to both sides}\\\\\boxed{n=2}[/tex]

[tex]\dfrac{-2\sqrt8}{4+\sqrt{12}}=\dfrac{-2\sqrt{4\cdot2}}{4+\sqrt{4\cdot3}}=\dfrac{-2\cdot\sqrt4\cdot\sqrt2}{4+\sqrt4\cdot\sqrt3}=\dfrac{-2\cdot2\sqrt3}{4+2\sqrt3}=\dfrac{-4\sqrt2}{2(2+\sqrt3)}=-\dfrac{2\sqrt2}{2+\sqrt3}\\\\\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{-2\sqrt2}{2+\sqrt3}\cdot\dfrac{2-\sqrt3}{2-\sqrt3}=\dfrac{-2\sqrt2(2-\sqrt3)}{2^2-(\sqrt3)^2}\\\\\text{Use distributive property and}\ \sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\=\dfrac{-4\sqrt2+2\sqrt6}{4-3}=\dfrac{2\sqrt6-4\sqrt2}{1}=2\sqrt6-4\sqrt2[/tex]

Answer:

red  2/3

blue 1/2

The lines do not have the same slope so they are  not parallel

Step-by-step explanation:

We can find the slope of the red line by using the formula

m = (y2-y1)/(x2-x1)

We have the points (0,2) and (3,4)

m= (4-2)/ (3-0)

  = 2/3

We can find the slope of the blue line by using the formula

m = (y2-y1)/(x2-x1)

We have the points (0,-2) and (4,0)

m= (0--2)/ (4-0)

  = (0+2)/(4-0)

  = 2/4

 =1/2

The lines  do not have the same slope so they are  not parallel

Answer:

.6 is a rational number

Step-by-step explanation:

.6  can be written as 6/10

This is the ratio of integers , which is the definition of rational numbers

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction of integers.  .6 (or any terminating decimal) can be expressed as a fraction.  .6 is the same as 6/10.  Since it is able to be expressed as a fraction, it is a rational number.