The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.
What does tessellation of a form mean?
A flat surface is tessellated when one or more geometric forms, known as tiles, are used to tile the surface without any gaps or overlaps.Tessellations in mathematics can be expanded to greater dimensions and a wide range of geometries.A tiling is referred to as "non-periodic" if it doesn't have a repeating pattern.Only regular triangles, squares, and hexagons can tessellate on their own.
If you use more than one sort of form, you can create additional tessellations of regular shapes.
The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.
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Evaluate each
a. -4+|-5|-4
b. -3•-8
c. 32 divided by -2
Answer:
A is -3 B is 24 and c is -16
Step-by-step explanation:
ALGEBRA The Ross Family drove 300 miles to visit their grandparents. Mrs. Ross drove 70 miles per hour for 65% of the trip and 35 miles per hour or less for 20% of the trip that was left. Assuming that Mrs. Ross never went over 70 miles per hour, how many miles did she travel at a speed between 35 and 70 miles per hour?
A 195
B 84
C 21
D 18
She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.
The correct option is B.
What exactly is algebra in mathematics?Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we utilize integers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we use variables such as x, y, and z in addition to numbers. In algebra, signs are employed.
According to the given information:She drove 70 miles per hour for 65% of the journey hour.
So she covered = ((65)*100)*300
= 195 miles.
The remaining distance is 300 – 195 = 105 miles.
She drove just under 35 miles per hour for the remaining 20% of the route.
So she covered. = ((20)/100)*105
or 21 miles
So, totally she covered 195 +
21 or 216 miles at 70 miles per hour maybe less than 30 miles per hour However, since the trip is 300 miles long, this same remaining distance becomes 300 - 216 or 84 miles.
She has driven 84 miles at speeds ranging from 35 to 70 miles per hour.
The correct option is B.
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A classroom has 48 seats. There are 6 seats in each row, which are arranged In this order:
Wall 5A 5B 5C aisle 5D 5E 5F wall
Four students are already sitting in their seats in the 5th row. Lina decides to sit by the wall, as she likes to have only one person sitting next to her and be close to the windows. Alex is sitting next to the aisle, as he needs to rush out of the classroom as soon as the lesson ends. Ken and Rue are best friends and are sitting in the adjacent seats, but Rue is not sitting by the wall. Maria and Ted enter the classroom, and there are only two available seats left in the classroom in the 5th row. Maria and Ted were hoping to sit next to each other.
What are the chances that their expectations will not be met?
Answer: 6%
Step-by-step explanation:
I just baised it off of how many students were in the equation. at the end thier is only 6 seats left
Does anyone know the answers to these?
The results for each case of congruence are listed below:
9) Congruent
10) No congruent
11) No congruent
12) Congruent
13) Congruent
14) No congruent
Are two line segments congruent to each other?
There are several ways to determine if two line segments are congruent to each other. One form consists in finding the vector associated with each line segment and the length is found by the Pythagorean theorem:
Now we proceed to show how to apply the vector criterion:
9) AB = (- 4, 8) - (- 4, 5) = (0, 3), CD = (2, 0) - (2, - 3) = (0, 3).
AB = 3, CD = 3. Congruent
10) AB = (1, - 1) - (6, - 1) = (- 5, 0), CD = (4, - 3) - (2, - 3) = (2, 0).
AB = 5, CD = 2. No congruent
11) AB = (- 1, 3) - (8, 3) = (- 9, 0), CD = (5, 3) - (5, 10) = (0, - 7).
AB = 9, CD = 7. No congruent
12) AB = (6, 1) - (6, - 8) = (0, 9), CD = (- 2, - 2) - (7, - 2) = (- 9, 0).
AB = 9, CD = 9. Congruent
13) AB = (- 5, - 1) - (- 5, 6) = (0, - 7), CD = (3, 3) - (- 4, 3) = (7, 0).
AB = 7, CD = 7. Congruent
14) AB = (3, - 4) - (10, - 4) = (- 7, 0), CD = (- 1, 5) - (- 1, 2) = (0, 3).
AB = 7, CD = 3. No congruent
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Please help me understand this problem!
Answer:
30 degrees.
Step-by-step explanation:
I included a picture to solve for X. Once you have X, we know that angle a=A= x + 39.
Doing the math on the paper, we know that X= - 9, therefore - 9 + 39 = 30.
Thus, angle A is equal to 30 degrees.
Aileen sold 42 MP3 players last
month at $125 per MP3 player. If
she earns $2130 per month in
base pay and makes an 18%
commission on all MP3 sales,
how much did she earn last
month?
By adding the base salary and the commissions, we conclued that Aileen did make 3,075 dollars last month.
how much did she earn last month?
She sold 42 MP3 for $125 each, and she gets a 18% commission on this, so what she wins in commissions is:
0.18*42*$125 = $945
If we add that to the base that she earns per month, which is $2,130, it gives:
$945 + $2,130 = $3,075
In this way, we conclued that Aileen did make 3,075 dollars last month.
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A construction worker makes $30.62 an hour. If they worked 45 hours a week and 50 hours the second week, how much will they get paid? (remember overtime is anthing over 40 hours and is one and a half times their pay.) Round to the nearest cent.
Using unitary method, it is found that the total money construction worker get paid will be 2908.5 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that construction worker makes $30.62 an hour. If they worked 45 hours a week and 50 hours the second week, then we need to find how much will they get paid.
For an hour he get paid = $30.62
For 45 hours a week = 30.62 x 45
= 1377.9 dollars
For 50 hours the second week = = 30.62 x 50
= 1531 dollars
The total money he get paid will be; 1377.9 + 1531 = 2908.5 dollars.
Hence, the total money construction worker get paid will be 2908.5 dollars.
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Identify each sequence as arithmetic, geometric, or neither. Then find the next two terms. 2,1,0.5,0.25, . . . . . .
It is a geometric sequence. The next two terms are: 0.125, 0.0625
The given sequence is:
2, 1, 0.5, 0.25, . . . .
Let a(n) be the nth term, then in the above sequence
a(1) = 2
a(2) = 1
a(3) = 0.5
a(4) = 0.25
Notice that:
a(2) = a(1) x 0.5
a(3) = a(2) x 0.5
a(4) = a(3) x 0.5
A sequence, of which its next term is obtained by multiplying the previous term by a constant is called a geometric sequence. The constant is called the ratio.
Therefore this is a geometric sequence with r = 0.5
To find the next two terms, continue the multiplication process:
a(5) = a(4) x 0.5 = 0.25 x 0.5 = 0.125
a(6) = a(5) x 0.5 = 0.125 x 0.5 = 0.0625
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FIFTY POINTS
y=-16t^2+40t+2
For what interval or intervals of time will the projectile be
above 18 feet?
a.) Between 1 and 1.5 seconds
b.) Less than 1 second and greater than 1.5 seconds
c.) Between 0.5 and 2 seconds
d.) Less than 0.5 second and greater than 2 seconds
Answer:
To find when the projectile is above 18 feet, we need to find the values of time when the height of the projectile is greater than 18. The height of the projectile can be found by plugging the value of time into the equation y = -16t^2 + 40t + 2.
So, we need to find the values of t when y > 18.
y = -16t^2 + 40t + 2 > 18
-16t^2 + 40t - 16 > 0
To solve this inequality, we can use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / 2a
where a = -16, b = 40, and c = -16.
So, t = (40 ± √(40^2 - 4(-16)(-16))) / 2(-16)
t = (40 ± √(40^2 + 256)) / -32
t = (40 ± √(1616)) / -32
t = (40 ± 40) / -32
t = (80 / -32) / 2 or (0) / 2
t = -1.25 or 0
Since t has to be positive (time cannot be negative), we can only use the positive value, t = 0.5. So, the interval of time when the projectile is above 18 feet is between 0.5 and 2 seconds, which is (c).
Francisco’s game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. andrew wants to increase the likelihood of selecting a yellow marble. how can the game be modified to make drawing a yellow marble more likely? select all that apply. andrew should add more green marbles to the bag. andrew should add more yellow marbles to the bag. andrew should remove from the bag 1 green, 1 black, and 2 red marbles. andrew should add more black marbles to the bag. andrew should triple the number of yellow marbles in the bag.
From the options given, the options that can increase the likelihood of selecting a yellow marble can be determined by finding out the probability of selecting the yellow marble.
Probability is method of determining a numerical occurrence of a outcome from the set of all possible outcomes of an events. The value is expressed from zero to one.
Probability (Event)= Favorable Outcomes(x)/Total Outcomes(n)
Hence,
n=total number of marbles=3+2+4+3=12
x=no of yellow marbles=2
Probability=2/12=1/6
In order to increase the probability of choosing a yellow marble, let consider the options.
Andrew should add more green marbles to the bag.
Increasing green by say 2
Probability=2/14=1/7<1/6
Andrew should add more yellow marbles to the bag.
Increasing yellow by say 3
Probability=5/15=1/3>1/6
Andrew should remove from the bag 1 green, 1 black, and 2 red marbles.
Decreasing the said marbles
Probability=2/8=1/4>1/6
Andrew should add more black marbles to the bag.
Increasing black by 2
Probability=2/14=1/7<1/6
Andrew should triple the number of yellow marbles in the bag.
Increasing yellow marble by 2x3=6
Probability=6/16=3/8>1/6
Hence, the options of making the likelihood of yellow drawing more would be Andrew should add more yellow marbles to the bag, Andrew should remove from the bag 1 green, 1 black, and 2 red marbles and Andrew should triple the number of yellow marbles in the bag.
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Point U has Coordinates (-5,1) and point V has coordinates (7,9) find the coordinates of the midpoint of UV
The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
Midpoint of a Line Segment:
A line segment's midpoint is a point that divides the line segment across two equal sections. The midpoint of a line segment with coordinates at both ends X₁ , Y₁ and X₂, Y₂ is calculated using:
According to the given data:Point U has Coordinates (-5,1).
point V has coordinates (7,9).
Find coordinates of the midpoint of UV = ?
We know that to find Midpoint of a Line Segment:
= [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Where U
X₁ = -5
Y₁ = 1
Whare V
X₂ = 7
Y₂ = 9
Putting the value in the formula:
UV = [tex]\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
= (-5 + 7)/2 , (1 + 9)/2
= -6 , 5
The mid point of the given Coordinates U= (-5,1) and point V = (7,9):
= ( -6 , 5).
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I NEED HELP THIS IS DUE TODAY
Answer:
B is the correct answer:)) explanation up top
8=3x+6y. I need help on how to find Y?
Answer:y =20
Step-by-step explanation:8 = 3x + 6y.
subtract 3x from both sides:
8-3x = 6y,
Divide both sides by 6:
8/6 - 3x/6 = Y,
4/3 - x/2 = Y.
32^10-33x^5+1 find the real roots
By algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.
How to find the roots of polynomial by algebraic proceduresIn this problem we find a quintic equation, whose roots have to be found by using algebra rules:
33¹⁰ - 33 · x⁵ + 1 = 0
33 · x⁵ = 33¹⁰ + 1
x⁵ = (33¹⁰ + 1) / 33
x⁵ = 33⁹ + 33⁻¹
x = [tex]\sqrt[5]{33^{9}+33^{- 1}}[/tex]
x ≈ 541.159
By using algebra properties, the roots of the quintic equation are approximately 541.159 with a multiplicity 5.
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Identify a pattern and find the next three numbers in the pattern.
1,4,3,6,5, . . .
The pattern exists described as a sequence of repeating objects, shapes, or numbers.
The pattern follows the rule(+3) and (-1).
The next three numbers is 8, 7, 10.
The numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.
What is meant by pattern?A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
Let the numbers in the pattern be 1, 4, 3, 6, 5, . . .
1(+3) = 4
4(-1) = 3
3(+3) = 6
6(-1) = 5
5(+3) = 8
8(-1) = 7
7(+3) = 10
The pattern follows the rule (+3) and (-1).
The next three numbers is 8, 7, 10.
Therefore, the numbers in the pattern be 1, 4, 3, 6, 5, 8, 7, 10.
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A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.
a. Suppose two trials of this experiment are conducted. Are the events independent or dependent? Explain.
Both can be seen as individual events. thus the events are independent.
Which pair of events are called independent events?When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Given that; A bag contains 3 red chips, 5 green chips, 2 yellow chips, 4 brown chips, and 6 purple chips. One chip is chosen at random, the color noted, and the chip returned to the bag.
The probability of selecting the chip is green;
= 5/20
= 1/4
The probability of selecting the chip is brown;
= 4/20
= 1/5
the probability that the first chip is green and the second is brown
= 1/4 x 1/5
= 1/20
Both can be seen as individual events. thus the events are independent.
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Sergei runs a bakery. He needs at least 175 kilograms of flour in total
to complete the holiday
orders he's received. He only has 34
kilograms of flour, SO he needs to buy more.
The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the
smallest number of bags as possible and get the amount of flour he needs.
Let F represent the number of bags of flour that Sergei buys.
Answer:
Step-by-step explanation: Using proportions, it is found that Sergei needs to buy 7 bags.
-----------
This question is solved by proportions, using a rule of three.
He has 34 kilograms of flour.
He needs 175 kilograms.
Thus, he needs to buy 175 - 34 = 141 kilograms.
Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?
1 bag - 23 kilograms
x bags - 141 kilograms
Applying cross multiplication:
[tex]23x = 141[/tex]
[tex]x = \frac{141}{23}[/tex]
[tex]x = 6.1[/tex]
Rounding up, he needs to buy 7 bags
|x+1|+|3x-2|=2
Solve each equation
Answer:
2
Step-by-step explanation:
x+1 +3x-2=2 group them in like terms
3x-x+2+1=2 then subtract the variable and add the number
2x=3-2 arrange them
2x=1 divide both side by 2
therefore x=2
O Rachel was checking the weight of a gold nugget and a piece of fool's gold. Together
they weighed 120.5 grams. If the fool's gold was 23.90 grams, how much did the gold
nugget weigh?
Answer:
96.6
Step-by-step explanation:
120.5 subtracted by 23.90 give you how much the gold nugget weight.
Which shows 0.00234 written in scientific notation?
A 2.34 ×10⁵
B 2.34× 10³
C 2.34 × 10⁻²
D 2.34 × 10⁻³
Determine the total number of roots of each polynomial function. f (x) = (3x4 + 1)2[
The total number of roots will be 8.
We have a function f(x) = [tex](3x^{4}+1 )^{2}[/tex].
We have to determine the total number of roots for this function f(x).
What is function ?A function in mathematics is a relation involving two variables, such that one variable is dependent on the other for its value.
According to the question, we have function -
[tex](3x^{4}+1 )^{2}[/tex]
We can rewrite it after expanding as follows -
[tex](3x^{4}) ^{2} + 1 + 6x^{4}[/tex]
[tex]9x^{8}+6x^{4} +1[/tex]
Now, the maximum degree of the polynomial is 8. The number of roots are equal to the maximum degree of a polynomial.
Hence, the total number of roots will be 8.
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Write the equation of the line in slope-intercept form
2y=-12x-16
The equation of the line in slope-intercept form is y = (-6)x + (-8) .
The equation of a line in slope-intercept form can be written as follows,
y = mx + c equation 1
m in the above equation represents slope of the line and c represents the intercept.
The given equation is 2y = -12x -16 .
To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as
2y = -12x -16
On dividing both sides of above equation by 2, we will get
y = (-6)x + (-8) equation 2
On equating equation 1 and equation 2, we will get
Slope of the line = m = -6
Intercept = c = -8
The equation of the line in slope-intercept form is y = (-6)x + (-8) .
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what is the answer to b?
Answer:35
Step-by-step explanation:because x equals 3y +2 so if x=11 then just mutlipy 11x3 thats 33 then plus 2 is 35
hope that helps :}
please help me with this
Answer: Angle R is 15.8 and angle S is 15.4.
Step-by-step explanation: Equal 3x + 5 to 9x - 17, to each other and get 3.6 and 3.6 equals x. Q and R are congruent. for 3x +5, multiply 3.6 by three and add 5. Multiply 3.6 by 9 and subtract 17. I hope this helps :)
Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest tenth of an inch if necessary.
If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.
HeightGiven:
Sheet of fiberboard=27 inches
Angle of elevation=17°
Height (h)=?
Hence,
Sin 17°=h/27
h=27 Sin 17°
h=27×0.2924
h=7.8948 inches
h=7.895 inches (Approximately)
Therefore If Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17 ∘ ∘ angle of elevation from the ground. How high will the ramp rise from the ground at its highest end is: 7.895 inches.
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Solve each equation. 3(2 z+1)=35
The solution of the given linear equation in one variable 3(2z +1) = 35.
According to the given question.
We have a linear equation in one variable 3(2z + 1) = 35.
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Therefore, the solution of the given linear equation in one variable is given by
3(2z + 1) = 35
⇒ 6z + 3 = 35 (by distributive rule)
⇒ 6z = 35 - 3 (subtracting 3 from both the sides)
⇒ 6z = 32
⇒ z = 32/6 (dividing both the sides by 6)
⇒ z = 16/3
Hence, the solution of the given linear equation in one variable 3(2z +1) = 35.
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The local gym holds two 45-minute workout sessions and four 30-minute sessions each week. Judy attended all of the sessions this week but left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions. How many total minutes did Judy work out for the week?
170 minutes
190 minutes
65 minutes
75 minutes
Answer: 75
Step-by-step explanation:
The total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes
Calculating timeFrom the question, we are to determine the total number of minutes Judy worked out for the week
From the given information,
The gym holds two 45-minute workout sessions and four 30-minute sessions each week
Thus,
The total number of minutes the gym holds workout sessions is
2 × 45 + 4 × 30
= 90 + 120
= 210 minutes
Also, from the information,
Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions
The total number of minutes Judy didn't attend is
2 × 10 + 4 × 5
= 20 + 20
= 40 minutes
Then,
The total number of minutes Judy worked out for the week was
210 minutes - 40 minutes
= 170 minutes
Hence, the total number of minutes Judy worked out for the week was 170 minutes. The correct option is the first option 170 minutes
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Millie and kim both entered a pumpkins in the county fair. Millie's pumpkin weighs 52 1/4 lbs. Kim's pumpkin is 90% as big as Millie's pumpkin. How much does Kim's pumpkin weigh? Give your answer as a decimal
I dont know if its adding, subtracting, dividing, or multiplication. Please include the answer and how you got it!!
Step-by-step explanation:
Millies pumpkin: 52.25 lbs. (25 is one quarter of 100)
Kims is 90% as heavy.
We know in percentage, it only goes up to 100%.
Concept #1Dividing
We can divide 100% into 10 chunks of 10%. In this instance, 52.25 lbs is 100%. So we divide 52.25 lbs into 10 chunks of 5.225 lbs.
Concept #2
Multiplying
90% is 9 times those little chunks of 10%. In this instance, 1 chunk is 5.225 lbs. So we simply multiply that by 9 because it's 90%.
Concept #3
Actually multiplying it
5.225 x 9 = 47.025 lbs
So 47.025 lbs is 90% of 52.25 lbs which is Millie's pumpkin.
Therefore your answer for "how much does kims pumpkin weigh" is
47.025 lbs
hoped this helped
Write an equation of each line in standard form with integer coefficients. y=-7 x-9
The equation of the given line y = -7x - 9 in standard form is 7x + y + 9 = 0
Equation of a line in standard form can be expressed as:
Ax + By + C = 0
Where:
A and B are coefficients.
x and y are variables of degree 1 or linear variables.
C is a constant.
All coefficients and constant term should be integers, not fractions or decimals. Furthermore, A should be a positive number.
The given equation is:
y = -7x - 9
Add both sides by 7x
7x + y = -7x +7x -9
7x + y = -9
Add both sides by 9
7x + y + 9 = -9 + 9
7x + y + 9 = 0
This is the standard form of the given line equation.
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Evaluate the expression for the given value of the variable 4|3x-1| - |9x+6| ; x=-5
Answer: 5
Step-by-step explanation:
4|3x-1| - |9x+6| ; x=-5
Insert 5 into the x's
4|3(5)-1| - |9(5)+6|
Multiply the 5's
4|(15)-1| - |(45)+6|
Now add/subtract within the absolute values
4|14| - |51|
Get rid of the absolute vaules
4(14) - 51
Multiply 4(14) = 56
56 - 51 = 5
