No, the regular polygon pentagon will not tessellate in the plane.
What is tessellation?A tessellation or tiling is the seamless application of one or more geometric shapes, known as tiles, to a surface, frequently a plane. Tessellation in mathematics can be expanded to include other geometries and higher dimensions.
A tiling constructed of materials like cemented ceramic hexagons or squares is referred to as a real-world tessellation. Such tilings may be ornamental designs or serve practical purposes such providing long-lasting and water-resistant pavement, floor, or wall coverings.
Tessellations were historically employed in Islamic art, such as the Moroccan architecture and the ornamental geometric tiling of the Alhambra palace. They were also used in Ancient Rome.
Regular polygons tessellate if their interior angles divide by 360° evenly or if the total of their interior angles is a factor of 360°. A tessellation is a pattern made of identical forms that fit together seamlessly.
So lets find out how pentagon won't tessellate.
First we find the measure of the interior angles of pentagon,
[tex]\frac{540\°}{5} = 108\°[/tex]
Now divide the interior angle by 360°
[tex]\frac{360\°}{108\°}[/tex] = 3.333
Hence, the measure of the interior angle does not divide by 360°.
Therefore, we conclude that the regular polygon pentagon will not tessellate in the plane.
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State whether each sentence is true or false. If false, replace the underlined word or phrase to make a true sentence.
To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.
Given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.
In given question,
We have been given a statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.'
We know that a hypotenuse is the largest side of a right triangle.
According to Pythagoras theorem,
in a right triangle c² = a² + b²
where c is the hypotenuse of a right triangle
a, b are perpendicular sides of the right triangle
This means, to find the length of the hypotenuse of a right triangle, take the square root of the sum of the squares of the legs.
Therefore, given statement 'To find the length of the hypotenuse of a right triangle, take the square root of the difference of the squares of the legs.' is False.
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Choose the letter of the word or phrase that best completes each statement.
a. ratio
b. proportion
c. means
d. extremes
e. similar
f. scale factor
g. AA Similarity Post.
h. SSS Similarity Theorem
i. SAS Similarity Theorem
j. midsegment
k. dilation
I. enlargement
m. reduction
If a/b=c/d'' then a and d are the ____?_____
If a/b = c/d then a and d are the extremes.
Ratio is defined as the comparison of two quantities. The ratio between quantities a and b can be expressed as a : b or a/b.
example:
There are 3 girls for every 5 boys in a class. Then, the ratio of girls to boys is 3 : 5 or 3/5.
On the other hand, proportion is defined as the equality between two or more ratios.
a : b = c : d
Two ratios are equivalent if their cross-products are equal. Cross products are the products of the extremes and means. The 1st and and 4th terms of a proportion is called the extremes, while the 2nd and 3rd is the means of a proportion.
If a : b = c : d, then ad = bc.
where a and d are the extremes
b and c are the means
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At a banquet, 6 people sit at each of 8 tables. The server receives $96 in tips. How much did the server receive per person?100 points if u hurry up and give me the answer
Answer:
$2 per person
Step-by-step explanation:
6*8=48
96/48=$2
Answer:
$2Step-by-step explanation:
6 x 8 = 48
96 / 48 = 2
Use the spinner to find the probability. If the spinner lands on a line it is spun again.
P (pointer landing on neither red nor yellow)
The probability of spinner pointer landing on neither red nor yellow=1/3 .
As given,
Total colors in the spinner is equal to 6
Each color is 2 times
Total number of colored region=6
Number of each red and yellow region=2
Probability
=(Total number of favourable outcomes) / (Total number of outcomes )
Probability of pointer landing on red or yellow is
P(R or Y)=2/6 +2/6
⇒P(R or Y) =2/3
Probability of pointer landing on neither red nor yellow
P( R or Y)' =1-P(R or Y)
=1-(2/3)
=1/3
Therefore, the probability of spinner pointer landing on neither red nor yellow =1/3.
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Help ASAP PLS 10 Points
Use the figure below to answer questions #1-4. You can also use DESMOS to help you answer this question.
What are the coordinates of the original point, G?
Match the desired compound events with their corresponding probabilities
Flip a coin 3 times and get heads
every time.
Flip a coin to get tails up and roll a
number cube to get an even number.
Roll a number cube and get a
4 and 5
Draw an ace and then a 7 from a
deck of cards with replacement
27
0000
1/36
1/169
1/8
1/4
The matching of the probability will be:
Flip a coin 3 times and get heads every time. = 1/8.
Flip a coin to get tails up and roll a number cube to get an even number. - 1/4
Roll a number cube and get a 4 and 5 - 1/36
Draw an ace and then a 7 from a deck of cards with replacement - 1/169.
How to calculate the probability?Flip a coin 3 times and get heads every time will be:
= (1/2)³
= 1/8.
Flip a coin to get tails up and roll a number cube to get an even number will be:
= 1/2 × 3/6
= 3/12
= 1/4
Roll a number cube and get a 4 and 5 will be:
= 1/6 × 1/6
= 1/36
Draw an ace and then a 7 from a deck of cards with replacement is 1/169.
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what is 7sec to run350 centimeter
Answer:
72838383(8$($)*!*!)*?#!_;+ndbdjdjsk
Find x and the measure of each side.
Δ M N P is isosceles with MN ≅ NP. MN is two less than five times x, N P is seven more than two times x , and P M is two more than three times x .
The value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.
In this question, we have been given an isosceles ΔMNP with MN ≅ NP .
Also we have been given some statements about the sides of isosceles ΔMNP.
MN is two less than five times x.
We write above statement as mathematical expression.
MN = 5x - 2
NP is seven more than two times x.
We write above statement as mathematical expression.
NP = 7 + 2x
And PM is two more than three times x.
We write above statement as mathematical expression.
PM = 2 + 3x
As MN = NP
⇒ 5x - 2 = 7 + 2x
⇒ 5x - 2x = 7 + 2
⇒ 3x = 9
⇒ x = 3
So, the value of x is 3.
Now we find the measure of each side of triangle JKL
MN = 5x - 2
MN = 5(3) - 2
MN = 15 - 2
MN = 13
Now the side NP
NP = 7 + 2x
NP = 7 + 2(3)
NP = 13
And side PM would be,
PM = 2 + 3x
PM = 2 + 3(3)
PM = 11
Therefore, the value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
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If the labor force of 165 million people is growing by 1.2 percent this year, how many new jobs have to be created each month to keep unemployment from increasing?
0.165 million jobs must be created monthly to keep unemployment from increasing.
What is the labor force?The combined employed and unemployed population makes up the labor force. The labor force as a percentage of the civilian noninstitutional population is the labor force participation rate.The number of employed persons plus the number of jobless people seeking work is known as the labor force. 1 The unemployed who are not looking for work are not included in the labor pool. For instance, stay-at-home mothers, retirees, and students are not employed.An economy's labor force is calculated as the sum of employed and jobless citizens. As a result, the labor force can be calculated using the formula: labor force = employed population + unemployed population.All employees are included in the labor force, including persons looking for work who are unemployed and the companies who pay their workers. A job seeker would not be regarded as an employee even if she were included in the labor force.How many new jobs have to be created each month to keep unemployment from increasing?
The population of the labor force = is 165 million
Percentage increase of labor force in a year = 1.2 % of 165 million
Percentage increase in the labor force in a month 1.2 %/12=0.1 %= of 155 million
Jobs required to be created each month = population increase each month
165 million *0.1/100=0.165 million
0.165 million jobs must be created monthly to keep unemployment from increasing.
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Please please please help ASAP!!!!!
Answer:
19.00, 0.95, 19.95
28.00, 1.40, 29.40
45.00, 2.25, 47.25
Step-by-step explanation:
19.00 × 0.05 = 0.95
1.40 ÷ 0.05 = 28
47.25 ÷ 1.05 = 45
45 × 0.05 = 2.25
Answer/Step-by-step explanation:
Ticket Price ($) | Service Fee ($) | Total Cost with Service Fee ($) |
19.00 | 0.95 | 19.95 |
| | |
----------------------------------------------------------------------------------------------
28.00 | 1.40 | 29.40 |
| | |
-----------------------------------------------------------------------------------------------
45.00 | 2.25 | 47.25 |
| | |
------------------------------------------------------------------------------------------------
I hope this helps!
What is 800 times 10 to the second power?
Answer:
800 times 10 is =800×10
800×10×10
800×100
=80,000
I think this is the answer so try it sorry for the last results
Which point is a solution to the following graph:
Answer:
(-6.0))
Step-by-step explanation:
If you start in the middle at (0,0) and go left 6 spaces and the do not go up or down. You will be at (-6,0). This is the only point that is in the shaded in both blue and green.
1 A map has a scale factor of 1 : 24 000
The distance between two towns is 3.6 km.
How far will this be on the map?
The two towns will be 15 centimeters apart on the map.
Here, we are given that a map has a scale factor of 1:24 000.
This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.
Now, we are given that two towns are 3.6 kilometers apart
That is in reality, they are 3.6 km away
Let them be x kilometers away on the map
The ratio of the distances on map and in real life must be equal to 1/24,000
⇒ x/3.6 = 1/24,000
x = 3.6/24,000
x = 0.00015 kilometers
or x = 15 centimeters
Thus, the two towns will be 15 centimeters apart on the map.
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A room measures 6m by 8m to the nearest metre. A carpet tile measures 50cm exactly. What is the maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room?
The maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room is 221.
Upper bounds = 8.5m and 6.5m
Maximum = 8.5[tex]\times[/tex]6.5 = 55.25[tex]m^2[/tex]
55.25[tex]m^2[/tex] = 552500c[tex]m^2[/tex]
50[tex]\times[/tex]50 = 2500c[tex]m^2[/tex]
552500/2500 = 221
The maximum amount of carpet tiles = 221
A rectangle is a quadrilateral with equal angles and opposing sides that are equal and parallel. There are several rectangle items all around us. Each rectangle form is distinguished by two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. We will study about the rectangle form and its features in this chapter. A rectangle is a four-sided closed two-dimensional shape. A rectangle's opposite sides are equal and parallel to one other, and all of its angles are equal to 90°. Examine the rectangle below to determine its form, sides, and angles.
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what fraction pieces when used twice will cover up 4/6 of a circle
Would anybody be able to help me out with this one question please?
15 points up for grabs!
:))
Answer: The answer is 78,125
Step-by-step explanation: The answer is 78,125 because when the 5^8 equals 390,625 and then divide 5 and you get 78,125. hope this helps :)
Answer:
5e8 /5=78125
Step-by-step explanation:
5e8=5*5*5*5*5*5*5*5= 390 625
390 625/5=78125
Hope you'll understand
(:
Paige is choosing between 10 books at the library. What is the probability that she chooses 3 particular books to check out from the 10 initial books?
The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
In this question,
Paige is choosing between 10 books at the library.
We need to find the probability that she chooses 3 particular books to check out from the 10 initial books.
The probability of choosing 1 book = 1/10
So, the probability of success (p) = 1/10
the probability of failure (q) = 9/10
Using Binomial probability distribution,
P(x = 3) = [tex]^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7[/tex]
P(x = 3) = 120 × 0.001 × 0.4783
P(x = 3) = 0.0574
Therefore, the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
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What is 18 divided by (6+3)
What is the length of the hypotenuse?
5 cm 3cm
A 4 cm
C 34 cm
3 cm
B 2√2 cm
D
√34 cm
A recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.
Does Anaya have enough to make 14 cups of the trail mix? If not,How many more raisins does Anaya need
The raisins that Anaya needs more will be 5/6 cups.
How to illustrate the information?It should be noted that from the information, recipe for 4 cups of trail mix calls for 2/3 cups of raisins. Anaya has 1 1/2 cups of raisins.
The amount that's needed for 14 cups will be:
= 14/4 × 2/3
= 2 1/3
It's not enough
The amount needed will be:
= 2 1/3 - 1 1/2
= 2 2/6 - 1 3/6
= 5/6
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Find the geometric mean between pair of numbers.
12 and 9
The geometric mean between pair of numbers 12 and 9 is 10.39
We know that for a sequence of numbers x1, x2,.., xn
The formula of geometric mean is,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have been given two numbers 12 and 9
We need to find the geometric mean between pair of numbers, 12 and 9.
Using the formula for the geometric mean,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have two numbers.
So, the value of n is 2.
[tex]\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39[/tex]
Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39
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Find the percentage of students that scored higher than 75. 5. Round your answer to the nearest percent
Answer:
source please?
Step-by-step explanation:
Without a source I cannot
how many fixed points are there for f(x)=x^3
3rtm
b. How many triangles are needed to compose a region that is 1/ square meters?
3
om Unit 1, Lesson 2.)
18 triangles area unit required to compose a vicinity that's one square meters.
Triangle is also a closed two-dimensional kind. it is a triangular two-dimensional figure. All sides unit of measurement product of straight lines. the aim where a pair of straight lines be a region of is that the vertex. Hence, the Triangle has three vertices. each vertex forms associate degree angle.A square with a locality of one square metre is rotten into nine identical little squares. every little sq. is rotten into 2 identical triangles.
1 square metre is rotten into nine identical little squares.
So there area unit nine little squares in one square metre.Each little sq. is rotten into 2 identical triangles therefore nine little squares is rotten into 9(2) = eighteen identical triangles
Hence, one square metre is rotten into eighteen identical triangles.
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A car sitting at rest begins
accelerating at 2.40 m/s² for
15.0 seconds. How far has the
car gone?
(Units = m)
Answer:
86.4m/s as 2.4^(2)=5.76
5.76x15=86.4
Suppose your teacher accidentally gives you a multiple-choice calculus test, instead of an Algebra 2 test. There are 40 true-false questions, and you and your classmates answer the questions randomly. The probability of getting an answer correct is 1/2 . You can use 1/2 as the population proportion.
Develop a simulation for answering the 40 questions. Record your results.
Answer:
Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.
Using Function Notation
The mapping diagram shows a functional relationship.
Domain
Range
82
I WINDO
11
4
43
12
Complete the statements.
f(4) is
f(x) = 4 when x is
The completed statement is
i) f(4) is 1/2
ii) f(x) = 4 when x is 8
A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function.
The range of a function is the set of all its outputs.
According to the question the ordered pairs are given as
R = { (8,4) , (-2/3,3) , (11,-1) , (4,1/2)}
Here the domain are : ( 8,-2/3,11,4)
and range are : (4,3,-1,1/2)
Hence the values are :
i) f(4) = 1/2
ii) f(x) = 4 when x = 8
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Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(1/2 n+2n−3)+4n
Answer:
the answer would be n/4 + 9/2
Step-by-step explanation:
-
Mo runs at a constant speed of 6 miles per hour.
Decide whether each statement is true or false.
a) In 25 minutes, Mo runs 1.5 miles.
b) In half an hour, Mo runs 3 miles.
c) In 45 minutes, Mo runs 2.7 miles.
d) In 1.25 hours, Mo runs 7.5 miles.
e) In 20 minutes, Mo runs 2 miles.
f) In 70 minutes, Mo runs 7 miles.
Discuss your reasoning with a partner.
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
Hope this helped
and what the other person said
Brainlest please
State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
The slant height is the height of each lateral face of a pyramid or cone.
The given statement is completely true.
This is because the definition of slant height is the altitude of the lateral face of a pyramid or cone which is true.
There are three dimensions of a cone.
The vertical height (or altitude) is the perpendicular distance from the top down to the base.
The radius of the circular base slant height is the distance from the top, down the side, to a point on the base circumference.
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