The 5 coordinate systems are Cartesian Coordinate System, Polar Coordinate System, Cylindrical Coordinate System, Spherical Coordinate System, Elliptic Coordinate System.
1. Cartesian Coordinate System: This system uses two perpendicular axes (X and Y) to determine the location of a point. The point's coordinates are the distances from the origin point (0, 0). The axes divide the plane into four quadrants and the coordinates can be positive or negative. The axes are also referred to as the x-axis and y-axis.
2. Polar Coordinate System: This system uses an angle and a distance from a fixed origin point to specify a point. The angle is measured in radians and the distance is measured from the origin. The coordinates of the point are usually written as (r, θ).
3. Cylindrical Coordinate System: This system combines the two-dimensional polar system and the one-dimensional Cartesian system. It uses three coordinates, (r, θ, z) to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and z is the height.
4. Spherical Coordinate System: This system uses three coordinates, (r, θ, φ), to determine a point's location in three-dimensional space. The r coordinate is the distance from the origin, θ is the angle measured from the z-axis, and φ is the angle measured from the x-axis.
5. Elliptic Coordinate System: This system uses two coordinates, (a, b), to specify a point on an ellipse. The a coordinate is the distance from one of the ellipse's foci, and the b coordinate is the distance from the other. This system is useful for describing orbits, such as those of planets.
Learn more about coordinate here
brainly.com/question/27749090
#SPJ4
Look at the image below.
Find the area of the parallelogram.
Answer: 80 square units
Step-by-step explanation:
[tex]A=(8)(10)=80[/tex]
Which choice is equivalent to the quotient below? √16 OA. A OB. N/హ / OC. 2 D. √√2
Answer:
C
Step-by-step explanation:
Please refer to the attached photo for step by step solutions.
Note: Square roots and squares will always cancel out each other.
If there are n ants once a month how many will there be a month la
Answer: 3n ants
Step-by-step explanation:
If there are n ants one month, and the ants triple every month, then next month there will be 3n ants.
We can multiply 3 by n to show it tripling.
To test this, 3(10,000) = 30,000 and 3(270,000) = 810,000, which corresponds to what you've filled out in the table.
Which of the following equations will produce the graph shown below?
The equation that will produce the given graph is; 6x² + 6y² = 144
What is the equation of the Circle?The standard equation of a circle can be expressed as:
(x + a)² + (y - b)² = r²
where;
(a, b) is the center of the circle
r is the radius of the circle.
From the diagram, we can see that the radius of the circle is between 4 and 5. Thus, the correct equation must have a radius between these values.
From the option, we can see that the only equation that will have a radius between 4 and 5 is;
6x² + 6y² = 144
Divide through by 6 to get;
x² + y² = 24
x² + y² = √24
Thus r = √24 which is greater than 5
Read more about Equation of Circle at; https://brainly.com/question/1559324
#SPJ1
Juan needs to rewrite this difference as one expression. First he factored the denominators. What step should Juan take next when subtracting these expressions
The next step Juan will take is to multiply the second fraction by (x-2)/(x-2).
Given that Juan needs to rewrite this difference as one expression (3x/(x²-7x+10))-(2x/(3x-15)) and factor the denominator as (3x/(x-2)(x-5))-(2x/3(x-5)).
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
The given expression is (3x/(x²-7x+10))-(2x/(3x-15))
Firstly, we will factored the denominator as
(3x/(x-2)(x-5))-(2x/3(x-5)).
Now, we will multiply and divide the second fraction by (x-2), we get
(3x/(x-2)(x-5))-((2x(x-2))/3(x-5)(x-2)).
Hence, the next step when subtracting these expressions (3x/(x-2)(x-5))-(2x/3(x-5)) is multiply the second fraction by (x-2)/(x-2).
Learn more about algebraic expression from here brainly.com/question/4344214
#SPJ4
Assuming a normal distribution, families spends an average of $500 on their monthly cell phone bills with a standard deviation of $75. What is the probability a random families' bill is between $350 and $400
There is a 0.02275 to 0.0968 chance that a random family's bill will be between $350 and $400.
Calculating the probabilityProvided that,
Mean of the population = 500
The standard deviation(S.D) of the population = 75
Assume,the variable in normal distribution = X
Z= (x- mean)/ S.D
Provided , x = $350 - $400
Z= 350-500/75 = -2(when x=$350)
Z= 400-500/75 = -1.3 (taken x= $400)
The probability that a household will spend between $350 and $400 monthly
P(350>X<400) = P( -2>Z<-1.3)
= 0.02275 to 0.0968 (from probability table)
Therefore, the final answer is 0.02275 to 0.0968.
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4
can someone please help me
Based on definition of unit circle and angle properties on Cartesian plane, we find the following results: A: π/5, B: 3π/7, C: 4π/3.
How to determine angles in a unit circle
Units circles are commonly used to understand angles and trigonometric functions in a simple way. Vectors in a unit circle are ordered pairs of polar form: (x, y) = (cos θ, sin θ).
To solve this problem, we must take these tips into account:
Angles in the first quadrant are within 0 < θ < π/2.Angles in the second quadrant are within π/2 < θ < π.Angles in the third quadrant are within π < θ < 3π/2.Angles in the fourth quadrant are within 3π/2 < θ < 2π.Then, we have the following results: A: π/5, B: 3π/7, C: 4π/3.
To learn more on angles: https://brainly.com/question/13954458
#SPJ1
Bob rolls a fair six-sided die each morning. If Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal. If he rolls a $1$, then he rolls again. In a non-leap year, what is the expected value of the difference between the number of days Bob eats unsweetened cereal and the number of days he eats sweetened cereal
Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.
According to the statement
we have given that the Bob rolls a composite number, he eats sweetened cereal. If he rolls a prime number, he eats unsweetened cereal.
and we have to find that the expected value of the difference between the number of days.
So, the total number of days in a year is 365 days.
Chance to get a prime number on a die = 3/6
Chance to get a prime number on a die = 1/2.
and chances to get a composite number = 2/6
chances to get a composite number = 1/3
and chances to get a 1 on a die = 1/6.
Then the expected value =
so, expected value = 365(1/6) + 365(1/3) + 365(1/2)
then after calculating
Expected value = 1+2+1
then the value become is 4
and by this way he eat 171 days sweet cereal and other days he eat unsweetened.
So, Bob eats a 171 days sweetened cereal and 194 days he eat unsweetened cereal.
Learn more about Expected value here https://brainly.com/question/15858152
#SPJ4
The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. Using the table, how many marriage licenses were issued in 2008? 2010 Year 105,000 2001 2003 2006 Marriage Licenses 141,000 133,000 121,000 A. 113,000 B. 121,000 C. 118,000 10 Points D. 102,000
If the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000 then by solving arithmetic progression we will get that the marriage licenses issued in 2008 were 113000.
Given that the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000.
We are required to find how many marriage licenses were issued in 2008.
Average difference between licenses issued from 2001 to 2003=
=133000-141000)/2
=-4000
Average difference between licenses issued from 2003 to 2006=
=(121000-133000)/3
=-12000/3
=-4000
Average difference between licenses issued from 2006 to 2010=
=(105000-121000)/4
=-16000/4
=-4000
It is an arithmetic progression because the difference between marriage issued from one year to another is equal.
An arithmetic progression is a sequence in which each terms are having equal difference between them.
Nth term=a+(n-1)d
8th term=141000+(8-1)*(-4000)
=141000+7*(-4000)
=141000-28000
=113000
Hence the marriage licenses issued in 2008 were 113000 which is
option A.
Learn more about arithmetic progressions at https://brainly.com/question/6561461
#SPJ1
A palindrome is a number that reads the same forward and backward. a palindrome will be designated good if the first half of the number is strictly increasing. (example: 123321 is good, and so is 454 or 16961, but 1224221 or 324423 are not good). how many 5-digit good palindromes are there?
The total number of 5 digit palindrome that we have is 900.
What is a palindrome?This is the term that is used to refer to a number or a word phrase that is the same way when it is written from the front and from the back.
Examples of palindrome numbers are
10101 10201 10301 10401Read more on palindrome here:
https://brainly.com/question/14076732
#SPJ1
x/2 + 11 = 19
solve this equation
Answer:
x/2 = 19-11
x/2 = 8
x = 8×2
x= 16
Answer:
x=16
Step-by-step explanation:
x/2 + 11 = 19
*2 *2 *2 Multiply 2 on both sides to make x stand by itself
x+22 = 38
-22 -22
x=16
Check
Plug in 16 instead of x.
16/2 + 11 = 19
8+11=19
19=19
Hope it helps:)
f(x)=x^2-x-56=0 what are the zeros in the function?
please help!!!
Answer:
-7, 8.
Step-by-step explanation:
x^2 - x - 56 = 0
Let's see if we can factor this function:
We need 2 numbers whose product is -56 and whose sum is -1 ( which is the coefficient of x).
They are -8 and 7 , so the factors are:
(x - 8)(x + 7) = 0
x - 8 = 0 giving x = 8 and
x + 7 = 0 giving x = -7.
The zeros are -7, 8
Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the descriptions.
The tiles to match the descriptions are;
Hull house - Neighbourhood assistance.
Muckrakers - Investigative journalists.
Protestants - Temperance movement.
Women's suffrage - Nineteenth amendment.
What is Progressive time period?The Progressive Era, which encompassed the years between the 1890s and the 1920s in US history, was one of intense social and political reform with the goal of advancing the creation of a better society.
Case 1: The settlement home that welcomed newly arrived European immigrants to the United States in 1889 is known as Hull House. There were also social, educational, and artistic initiatives for immigrants in this building.
Case 2: Muckrakers A name used to describe a group of North American journalists in the early 20th century who made public criticisms of: government corruption, abuse of labor is destructive to society and is committed by influential people or institutions of the time.
Case 3: Third, the term "Protestantism" is used to describe a variety of 16th-century religious movements. Because the Catholic Church had a different understanding of the Bible's holy texts, this movement was distinguished by its break with it.
Case 4: The 19th Amendment to the United States Constitution, which was adopted in June 1919, guaranteed every American woman the right to vote.
To know more about the main goal of the Progressive era, here
https://brainly.com/question/8179112
#SPJ4
The complete question is-
Think about what you learned about the events during the Progressive time period. Drag and drop the tiles to match the
descriptions
Tiles;
Hull House
Muckrakers
Protestants
Women's Suffrage
Pairs;
Investigative journalists
Temperance Movement
Neighbourhood assistance
Nineteenth Amendment
EXTRA POINTS, AND ILL GIVE YOU BRAINLIEST
1 x/3 - 3/4 = 5/12 solve for x!
The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
x/3 - 3/4 = 5/12
Hence:
x/3 = 5/12 + 3/4
x/3 = 7/6
x = 7/2
The solution to the expression x/3 - 3/4 = 5/12 is given as x = 7/2
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, what is the largest size TVin inches, that you can purchase? TV's are measured based on the diagonal measure. (1inch = 2.54cm) Write your answer as an integer
Answer:
404 inches
Step-by-step explanation:
Since a room of 2cm is to be left of either side of the TV, thus, the permissible required length of the TV is 136-2 = 134cm
Use Pythagoras Theorem,
h² = 134² + 86² = 17956 + 7396 = 25352
h = √25352 = 159.22 ≈ 159cm = 404.41 inches ≈ 404 inches.
N
Mason is creating a design using a straightedge and compass. He wants to construct a segment FG, which is congruent to segment BE in the
given figure.
A. the distance from B to E
To what width should Mason set his compass when constructing segment FG?
OB.
O C.
O D.
the distance from D to F
The distance from F to c
A
the distance from A to C
F
A
D
The width that Mason should set his compass when constructing segment FG is: A. The distance from B to E.
WidthFG should be congruent to segment BE. Based on this Mason should set his compass to the width of segment BE when Mason is constructing segment FG.
Hence, the width that Mason should set his compass when constructing segment FG is the distance from B to E which is option is A.
Learn more about width here:https://brainly.com/question/25855344
#SPJ1
Answer:
b to e
Step-by-step explanation:
plato
Given: regular ΔDAF; midpoints B, C, E; ∠DBE ≅ ∠FCE
Prove: DB ≅ FC
The theorem that would be included in the proof is: CPCTC theorem.
What is the CPCTC Theorem?CPCTC stands for, "corresponding parts of the congruent triangles are congruent". The theorem states that, if two triangles can be proven to be congruent, then all the corresponding parts of the two triangles are equal to each other.
To prove that DB ≅ FC, given regular triangle DAF in the image attached below, we would have the following statements followed by their reasons in the bracket:
1. angle D ≅ angle F [given]
2. angle DBE ≅ angle ECF [given]
3. side DE ≅ side EF [given]
4. ΔDBE ≅ ΔECF [by the AAS congruence theorem]
5. DB ≅ FC [by the CPCTC theorem]
With the given proof, we can state that side DB is congruent to side FC.
Therefore, to prove that DB ≅ FC, the theorem that would be included in the proof is: CPCTC theorem.
Learn more about CPCTC on:
https://brainly.com/question/6076251
#SPJ1
Find the product of X^2 (4x - 3).
A. 5x^3
B. 5x^3 - 3x^3
C. 4x^3 - 3x^2
D. X^2 + 4x - 3
x² ( 4x - 3)
Apply the multiplicative law of distribution.
x² × 4x - x² × 3Multiply the monomial
4x³ - x² × 3Multiply the monomial
4x³ - 3x² ==> AnswerTherefore, the correct option is "C".
Find the volume of a pyramid with a square base, where the side length of the base is
18.7 ft and the height of the pyramid is 8.8 ft.
Answer:
1025.76
Step-by-step explanation:
Formula for a right rectangular pyramid is (l*w*h)/3
The length and width are both 18.7, so we can plug that in. The height is 8.8.
It becomes:
(18.7*18.7*8.8)/3, which equals the answer above.
Solve for X.
X = [?]
5x - 16 X + 10
[tex] \boxed{ \sf{ \color{purple}\huge Answer :}}[/tex]
[tex] \: \: [/tex]
[tex] \large \tt \purple↪ \: \: \: \: \: 5x - 16 = x + 10 [/tex]
[tex] \: \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \:5x - x = 10 + 16 [/tex]
[tex] \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \: 4x = 26[/tex]
[tex] \: [/tex]
[tex]\large \tt \purple↪ \: \: \: \: \: x = \cancel\frac{26}{4} [/tex]
[tex] \: \: [/tex]
[tex] \underline{ \boxed{\large \tt \purple↪ \red{ \: \: \: \: x = \frac{13}{2} }}}{ \large✓}[/tex]
[tex] \: \: [/tex]
hope helps ~
Statement
The wastes from
nuclear power plants
are very toxic.
Nuclear power plants
produce less air
pollution than power
plants that use fossil
fuels.
Nuclear power plants
are safe.
The benefits of nuclear
power outweigh the
risks.
How my answer changed
Part of the lesson or other evidence that
changed my mind supported my original
answer
H
The new statement will be:
The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that from powerplants that make use of fossil fuels.Power plants that are Nuclear are regarded as safe.The risks of nuclear power is much more lower than the benefits.What changed my mind in the above?Nuclear energy is known to be one that produce a lot of radioactive waste and this tends to pose a threat to human health and the environment.
Hence, The new statement will be:
The nuclear power plants wastes are very toxic.Air pollution from Nuclear power plants is much lower that from powerplants that make use of fossil fuels.Power plants that are Nuclear are regarded as safe.The risks of nuclear power is much more lower than the benefits.Learn more about nuclear power from
https://brainly.com/question/2005734
#SPJ1
Solve for m
-7+4m+10=15-2m−7+4m+10=15−2mminus, 7, plus, 4, m, plus, 10, equals, 15, minus, 2, m
m=
The value of m based on the given equation -7 + 4m + 10 = 15 - 2m is 2
Algebra-7 + 4m + 10 = 15 - 2m
collect like terms4m + 2m = 15 + 7 - 10
6m = 12
divide both sides by 6m = 12/6
m = 2
Learn more about algebra:
https://brainly.com/question/4344214
#SPJ1
3 m
8 m
12 m
9m
6 m
Find the total surface area of the trapezoidal prism in the figure.
The total surface area of the trapezoidal prism is 180m². Option C
Total surface area of a trapezoidal prism
The formula for the total surface area of a trapezoidal prism is;
Total surface area = h (b + d) + l (a + b + c + d)
Where
b and d are parallel sides = 3, 9
h is the distance = 8
l is the length of the trapezoidal prism. = 12
Substitute into the formula
Total surface area = [tex]8(3 + 6) + 12(3 + 6)[/tex]
Total surface area = 72 + 108
Total surface area = 180 m²
Thus, the total surface area of the trapezoidal prism is 180m². Option C
Learn more about trapezoidal prism here:
https://brainly.com/question/2234926
#SPJ1
If 7.2 and 7.9 are two points on a number line , find the number in the middle of the points
Answer:
7.55
Step-by-step explanation:
A midpoint can be found by doing 7.2 + 7.9 then dividing by the number of points (in this case 2).
HELPPPPPP MATHHHH pleaseee
Answer:
A
Step-by-step explanation:
The diagram below shows a logo formed by removing a semicircle with diameter AB and a
rhombus DEFG from an isosceles trapezium ABCE where AE = BC.
Find the area of the logo.
The area of the logo is 136. 14 cm²
Determining the area
First, let's find the area of the semicircle
Area of semicircle = 1/2(πr²)
radius = 8/2 = 4cm
Substitute into the formula
Area of semicircle = [tex]\frac{1}{2} * 3. 142 * 4 * 4[/tex] = 25. 135 cm²
Now, let's find area of trapezium
Area of trapezium = [tex]\frac{a + b}{2} * h[/tex]
Area = [tex]\frac{12 + 10. 2}{2} * 10[/tex]
Area = [tex]11. 1 * 10[/tex]
Area = 111 cm²
Area of logo = Area of trapezium + area of semicircle
Area of logo = 111 + 25. 135
Area of logo = 136. 14 cm²
Thus, the area of the logo is 136. 14 cm²
Learn more about area of a trapezium here:
https://brainly.in/question/341797
#SPJ1
What is the measure of angle ABC
Answer: A
Step-by-step explanation:
[tex]m\angle ABC=59^{\circ}[/tex] by the inscribed angle theorem.
which relation is a function
The relation in option B is a function.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given are 4 relations, A, B, C, D.
From the definition of function, it is clear that, no input value have more than one output value.
A : The value of x = -2 is mapping to 2, 1, 0, -1.
That is, an input value is having more than one output values.
So this is not a function.
B : Here the input values, 0, 1, 2 and 3 maps to -2.
Here the input values are distinct. No input values are mapping to more than one output value.
So this is a function.
C : Here 1 is mapping to -2 and 3. So not a function.
D : For x = 0, there are two y values, 3 and -3.
So this is not a function.
Hence option B is a function.
Learn more about Relations and Functions here :
https://brainly.com/question/6241820
#SPJ2
This question is down below. Please solve in detail if you know how to solve.
Answer:
8.4 meters tall ( one decimal place)
Step-by-step explanation:
See diagram below:
find distance 'd' as tan 68 = opp / adj = d/6
then d = 6 tan 68 = 14.85 m
Then find h as tan 9 = h / d
d tan 9 = h
14.85 tan 9 = h = 2.35 m tall
add the 6 m height of the house 8.4 m tall
Find the volume of this square
based pyramid.
12 cm
10 cm
10 cm
V = [?] cm³
Answer:
[tex]400m^3[/tex]
Step-by-step explanation:
Use the formula [tex]V=\frac{1}{3}Ah[/tex]
Where h=the height of the pyramid (12cm)
A=the base area of the pyramid, also known as the area of the square (10cm*10cm=100cm)
So, inserting this into the equation:
[tex]V=\frac{1}{3} (100)(12)[/tex]
[tex]V=\frac{1}{3} (1200)[/tex]
[tex]V=400m^3[/tex]