The Central Angle of each color is:
Red= 100°
Blue= 150°
Green= 50°
Purple = 60°
what is Central Angle?According to the definition of a central angle in geometry, it is the angle that the arc of a circle occupies in its centre. The angle's arms are formed by the two radii. Knowing the ratio of the curve to the circle using the central angle is helpful.
To draw a pie chart we have to find the central angle.
For Red
= 20/72 x 360
= 100 degree
For Blue
= 30/72 x 360
= 150
For Green
= 10/72 x 360
= 50
For Purple
= 12/ 72 x 360
= 60
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Jason will receive a series of payments at the beginning of each year for 20 years. The first payment is 100. The subsequent 9 payments increase by 10% from the previous payment. After the 10th payment, each payment decreases by 10% from the previous payment. At an annual effective interest rate of 4%, calculate the present value of these payments at the time of the first payment.
A) 2,078.99
B) 2,118.01
C) 2,164.98
D) 2,193.24
E) 2,516.16
Answer:
2,118.01
Step-by-step explanation:
The length of a wall in a computer classroom is 15 metres. How many computer desks can be placed side-by-side along the wall if the desk has a length of 70cm and a breadth of 40cm
There will be 21 computer workstations that may be arranged side by side along the wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The number of computer desks that can be placed side-by-side along the wall is calculated as,
⇒ (15 x 100) / 70
⇒ 1500 / 70
⇒ 21.42
There will be 21 computer workstations that may be arranged side by side along the wall.
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[tex]7x + 3y = 13 \\ 2x - 3y = - 4 [/tex]
how can i solve them simultaneously?
use the process of elimination, once you solve, it will give you one variable that will work for both equations, once you plug that in, it will give you the other variable.
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
Answer:
Step-by-step explanation:
7x + 3y = 13
2x -3y = -4
add the "y"; 3y + (-3y) = 0
9x = 9
x = 1
plug in the "x" value into either question to solve for "y"
7(1) + 3y = 13
7 + 3y = 13
3y = 6
y = 2
a candidate is contesting for both national and provincial seats.
(A)what is the probability that he'll win both seats.
(B)what is the probability he'll loose both seats.
(C)what is the probability he'll win one seat.
A. The probability that he'll win both seats is 0.48.
B. The probability he'll loose both seats is 0.52.
C. The probability he'll win one seat is 0.92.
What is probability?The probability of an event is calculated using the mathematical notion of probability. We can only use it to determine the likelihood that an event will occur. On a scale from 0 to 1, where 0 denotes impossibility and 1 denotes a specific occurrence.
We are given that a candidate is contesting for both national and provincial seats.
Event A = Winning national seat
Event B = Winning provincial seat
A. The probability that he'll win both seats is
P(A) × P(B) = 0.8 × 0.6 = 0.48
B. The probability he'll loose both seats is
1 - 0.48 = 0.52
C. The probability he'll win one seat is
Probability = 0.8 + 0.6 - 0.48
Probability = 0.92
Hence, the required probabilities have been obtained.
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Question: a candidate is consisting for both national and provincial assembly seats. the probability that he will win the national seat is 0.8 and will win the provincial seat is 0.6. what is the probability that
a) he will win both seats
b) he will lose both the seats
c) he will win at least one seat
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
The coordinates after the rotation are:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
What are the coordinates after the rotation?By looking at the diagram, we can see that the mapings of the rotation are:
R → M
U → N
T → P
S → Q
We know this by looking at the orientation of the figures and by knowing how a rotation works.
So the cordinates after the rotation are the ones of these points, we can use the graph to find them:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
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Draw and determine the equation of a trend line that modles the data set (1, 27.5), (4,35), (7,42.5), (10, 50), (13, 57.5)
Answer: To draw a trend line that models the given data set, we first need to plot the points on a graph. We can use a scale of 1 unit on the x-axis and 5 units on the y-axis to plot the points as follows:
(1, 27.5) ●
(4, 35) ●
(7, 42.5) ●
(10, 50) ●
(13, 57.5) ●
We can see that the points roughly form a straight line. To find the equation of the trend line, we can use linear regression, which involves finding the line that best fits the data.
Using a calculator or software, we can find that the equation of the trend line is:
y = 3.5x + 24
This means that for every increase of 1 unit in x, y increases by 3.5 units. The y-intercept of the trend line is 24, which represents the value of y when x = 0.
We can plot the trend line on the same graph as follows:
|
60 |-●-
| |
55 |-●-----
| |
50 |-●-------
| |
45 |-●--------
| |
40 |-●----------
| |
35 |-●------------
| |
30 |-●--------------
| |
25 |-●-----------------
| |
--------------------
1 4 7 10 13
The dots represent the original data points, and the line represents the trend line.
Step-by-step explanation:
The volume of the right cone below is 1152\piπ units^3
3
. Find the value of x.
x
12
The volume of the right cone below is 1152π/3 cubic units then the value of x is 24.
What is the volume of a right circular cone?The volume of a right circular cone is given by the formula:
V = (1/3)πr²h
where π is pi (approximately equal to 3.14), r is the radius of the circular base, and h is the height of the cone.
In this problem, we are given that the volume of the cone is 1152π/3 cubic units and that the value of x is related to the radius and height of the cone.
Let's first write the formula for the volume of the cone in terms of x:
V = (1/3)π(x/3)²(x/3)
Simplifying this expression, we get:
V = (1/27)πx²
We are given that V = 1152π/3, so we can substitute this into the formula above and solve for x:
1152π/3 = (1/27)πx³
Multiplying both sides by 27/π, we get:
x³ = 1152*27/3
x³ = 27648
Taking the cube root of both sides, we get:
x = 24
Therefore, the value of x is 24.
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Write a verbal sentence to represent 5n/n+3=n-8
For this equation our term is root of -24
What is verbal sentence ?
Verbal sentences consist of a verb + subject + object or adverbial phrase. The subject and object can be either nouns or pronouns.
After solving the equation we get square of n which is equal to three times of eight
If the subject is a pronoun, it is always a suffix; and if the object is pronoun, it is always a dependent pronoun. When the subject is a pronoun, the word order is normal, meaning that the subject follows the verb and precedes the object.
If the subject is a noun and the object is a dependent pronoun, the pronoun object is before the noun subject.
The dative has a special place in the word-order of verbal sentences. It is expressed by the preposition n in addition to a noun or pronoun referring to a person, if the subject is a pronoun. It assumes a third place following the verb and its subject. However, if the subject is a noun, the dative is allocated a forward position and occurs before the subject.
If the subject is a noun and the object is a pronoun and the sentence consists of a dative, the word order is thus:
Verb + dative + dependent pronoun (object) + subject
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construct a right angle triangle with one side 4cm and hypotenuse 5cm.
Answer:
See the explanation below.
Step-by-step explanation:
You need to calculate the remaining side.
Pythagorean theorem: c^2 = a^2 + b^2
=> 5^2 = 4^2 + b^2
b^2 = 25 - 16 = 9
b = √9 = 3
Draw a right triangle with the sides of 3cm and 4cm are perpendicular to form 90 degrees angle. Then connect the ends of 2 lines to form the hypotenuse which will be 5 cm long.
69 and 5.6 x 10^5 expressed in scientific notation
The product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
Describe Scientific Notation?Scientific notation, also known as standard form, is a way of writing very large or very small numbers in a concise and convenient way. It expresses a number as the product of a decimal number between 1 and 10 (known as the coefficient) and a power of 10.
The general form of a number written in scientific notation is:
a × 10^n
where a is the coefficient, and n is an integer exponent that indicates the number of places the decimal point must be moved to obtain the original number.
To multiply numbers in scientific notation, we multiply their coefficients and add their exponents.
69 x 5.6 x 10⁵ = (6.9 x 10¹) x (5.6 x 10⁵)
= (6.9 x 5.6) x 10¹⁺⁵
= 38.64 x 10⁶
= 3.864 x 10⁷ (in scientific notation)
Therefore, the product of 69 and 5.6 x 10⁵ expressed in scientific notation is 3.864 x 10⁷.
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The complete question is :
A cube has a length of 12 cm , what is its surface area?
72 sq. cm
1500 cubic cm
1728 sq cm
864 sq. cm
Answer:
864 sq cm
Step-by-step explanation:
Surface area of cube = 6 × (l)square units. = 6 × 12cm × 12cm = 6 × 144cm = 864cmsquare.
A tunnel connecting two portions of a space station has a circular cross-section of radius 15 feet. Two walkway decks are constructed in the tunnel. Deck A
is… A tunnel connecting two portions of a space station has a circular cross-section of radius 15 feet. Two walkway decks are constructed in the tunnel. Deck A is along a horizontal diameter and another parallel Deck B is 2 feet below Deck A. Because the space station is in a weightless environment, you can walk vertically upright along Deck A, or vertically upside down along Deck B. You have been assigned to paint "safety stripes" on each deck level, so that a 6 foot person can safely walk upright along either deck. Determine the width of the "safe walk zone" on each deck
Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.
What is maximum height?Maximum Height refers to the vertical distance between the Reference Level and the highest point of a building's roof surface, including parapet walls, mechanical equipment installed on the roof, authorised Signage, and other permissible projections of any type.
The equation of the given circular space station is:
[tex]x^2 + y^2 = 15^2\\\\x^2 + y^2 = 225[/tex]
Given that, a 6-foot person can walk through the circular station.
Substitute the value of y = 6.
[tex]x^2 + 6^2 = 225\\\\x^2 = 225 - 36\\\\x = \sqrt{189}\\ \\x = \pm 13.74[/tex]
Also, Deck B is 2 feet below deck A thus,
[tex]x^2 + 8^2 = 225\\\\x^2 = 225 - 64\\\\x = \sqrt{161}\\ \\x = \pm 12.68[/tex]
Hence, for Deck A the safe walk zone must be painted at the points 13.74 units left and right of the edge of the circle, whereas for Deck B it must be painted at 12.68 units.
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The expression −−18−−−−√−−18 can be rewritten as −1⋅−1−−−√⋅9–√⋅2–√−1⋅−1⋅9⋅2. Which expression is equivalent to −1⋅−1−−−√⋅9–√⋅2–√−1⋅−1⋅9⋅2?
The answer of imaginary expression is option a. The value is -3i[tex]\sqrt2[/tex] .
What is Imaginary expression?Imaginary expression is a specific type of algebraic expression which involves the square root of a negative number. For example 2+3i is an Imaginary expression.
Given that,
-1[tex]\sqrt{-1[/tex] [tex]\sqrt9[/tex] [tex]\sqrt{2[/tex]
=-1×i×3×√2 [since [tex]\sqrt-1[/tex]= i and [tex]\sqrt{9[/tex] =3]
[Here [tex]\sqrt-1[/tex] is an imaginary number]
= -3i√2
Hence the answer is -3i√2 .
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Elsa menabung uang di bank sebesar Rp.2.000.000,00. Apabila ia mendapat bunga 0,5% perbulan, berapa jumlah uang tabungan di bank selama 10 bulan?
Answer:
Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:
A = P(1 + r)^n
dimana:
A = jumlah uang tabungan akhir
P = jumlah uang tabungan awal
r = tingkat bunga per bulan (dalam desimal)
n = jumlah bulan
Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.
Maka,
A = 2.000.000(1 + 0,005)^10
= 2.000.000(1,005)^10
= 2.000.000(1,0512)
= Rp.2.102.400,00
Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.
Step-by-step explanation:
Solve for y. Explain all steps.
y/3 - 8 = -15
Answer:
y = -21
Step-by-step explanation:
Hope this helps! :))
Suppose you have $600 to invest in a savings plan, and you want to compare 4 different ways you could invest the money.
Round answers to the nearest cent
Method 1: Find the balance after one year if you deposit all the money into an account that pays $2.50 in simple interest each month (this is a simple interest equation where the amount of interest stays the same each month).
Number
Method 2: Find the balance after one year if you deposit all the money into an account that pays 5% APR with monthly compounding.
Number
Method 3: Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50.
Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
Number
Method 4: Suppose if, instead of depositing the $600 all at once, you make an initial deposit of $300 into an account that pays 5% APR at the beginning of the year and then you divide up the remaining $300 into 12 envelopes each with $25.
Find the balance after one year for the initial deposit of $300, if you also deposit one $25 envelope each month, all year, into the account that pays 5% APR with monthly compounding.
Number
Therefore , the solution of the given problem of interest comes out to be $630 , $659.15 , $638.89 and $345.57 .
What does interest actually mean?To determine simple interest, divide the sum by the cost of borrowing, the amount of time left, and other factors. Principal plus interest plus hours is the straightforward return strategy in marketing. The simplest approach to calculate interest is to use this method. The most popular method of calculating revenue is as a fraction of the principal amount.
Method 1: A basic interest rate of $2.50 per month for a year equals
=> $2.50 x 12 = $30 in interest.
The balance after a year equals $600 plus $30, or $630.
Response: $630
Step 2: Divide the monthly interest rate by 12 to get 0.4167%
Amount after a year:
=> $600 multiplied by (1 + 0.004167)/12 to arrive at $659.15
Response: $659.15
Option 3: $50 per month in deposits
Interest rate per month: 5% divided by 12 Equals 0.4167%
Surplus at the end of the year is equal to
=> $50 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $638.89
Response: $638.89
Method 4: Initial investment of $300, subsequent deposits of $25, and an interest rate of 5% divided by 12 equals 0.4167%.
Amount at the end of the year equals
=> $300 x (1 + 0.004167)12 + $25 x (((1 + 0.004167)12 - 1) / 0.004167) x (1 + 0.004167) = $345.57
Response: $345.57
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Help with math problems
The inverse of the function will be f⁻¹(y) = y + 1.
What is the inverse of the function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
The given function is y = x - 1.
To find the inverse of this function, we need to solve for x in terms of y.
y = x - 1
Adding 1 to both sides, we get:
y + 1 = x
Therefore, the inverse function is:
x = y + 1
f⁻¹(y) = y + 1
Note that the inverse function represents the reflection of the original function across the line y = x.
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The class must seat 40 students along with the teachers Table and shelves which will occupy 350m2. How much space will each student occupy?
Each of the 40 students would occupy 8.75 m²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.
The class must seat 40 students along with the teachers Table and shelves which will occupy 350m². The space each student would occupy is:
Space for each student = Total space / Total number of students = 350 m² / 40 student = 8.75 m²
Each student would occupy 8.75 m²
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A triangle has vertices x(2,1), y(5,4), z(5,1). What is the base and height of the triangle
Answer:
The base is XZ and the height is ZY.
The measure of base is: 3 Units
The measure of Height is: 3 Units
Step-by-step explanation:
The explaination is given in the pictures...
pls help, it on khan academy
Answer:
25.12cm²
Step-by-step explanation:
Hope it helps. Have a nice week.
If Leroy made 9 more penalty kicks than he missed, how many penalty kicks did he make?
Answer:
it is impossible to know
this grid shows the location of four animals where is chewy located (picture)
A, (5,1)
B, (6,3)
C,(1,5)
D,(3,6)
Answer:
A) (5 , 1)
Step-by-step explanation:
The x coordinate goes first, then the y coordinate: (x , y)
In this case, locate Chewy. Chewy is found in the x-coordinate of 5, and a y-coordinate of 1. Therefore, (5 , 1) or A) is your answer.
~
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1. You work at a department store that needs at least 4200 labor hours covered per week. It employs full-time staff 40 hours per week and part-time staff 25 hours per week. The cost to employ a full-time staff member is more because the company pays benefits such as health care and life insurance
Full-time
Part-time
Hours per Week Cost per Hour
40 hr
$25
25 hr
$18
The store manager also knows that to make the store run efficiently, the number of full-time employees must be at least 1.25 times the number of part-time employees. You have been asked to help the store manager determine the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
a. Clearly define the variables in this problem.
b. Clearly state the constraints (all inequalities) related to the feasible region.
c. State the objective function.
d. Use the graphical method to
solve: Graph the solution region, showing the intercepts used. Label axes, units, points, and lines. Find and label all corner points. The grid for the graph is on the next page.
Show all necessary work.
e. In a complete sentence, state the number of full-time employees and the number of part-time employees that should be used to minimize the weekly labor cost.
Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)
What are the variables in this problema. Let x be the number of full-time employees and y be the number of part-time employees.
b. The constraints are:
Full-time employees work 40 hours per week, so the total number of full-time labor hours used must be at least 40x.Part-time employees work 25 hours per week, so the total number of part-time labor hours used must be at least 25y.The total number of labor hours used must be at least 4200: 40x + 25y ≥ 4200The number of full-time employees must be at least 1.25 times the number of part-time employees: x ≥ 1.25yThe number of full-time and part-time employees must be non-negative: x ≥ 0 and y ≥ 0c. The objective function is to minimize the weekly labor cost, which is given by:
Cost = 25x + 18y
d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:
Convert the inequality to an equation: 40x + 25y = 4200Solve for y: y = (4200 - 40x)/25 = (168 - 1.6x)Plot the y-intercept: (0, 168)Plot the x-intercept: (105, 0) (found by setting y = 0 and solving for x)Draw the line passing through the two intercepts.Next, we can graph the inequality x ≥ 1.25y as a line:
Convert the inequality to an equation: x = 1.25yPlot two points on the line: (0, 0) and (0, 0) (found by setting y = 0 and x = 0 respectively)Draw the line passing through the two points.The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:
To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:
40x + 25y = 4200 and x = 0 (y-axis intercept) --> (0, 168)40x + 25y = 4200 and y = 0 (x-axis intercept) --> (105, 0)x = 1.25y and y = 0 (x-axis intercept) --> (0, 0)x = 1.25y and 40x + 25y = 4200 --> (84, 67.2)Now we can evaluate the objective function at each of the corner points:
(0, 0): Cost = 0(0, 168): Cost = 25(0) + 18(168) = 3024(105, 0): Cost = 25(105) + 18(0) = 2625(84, 67.2): Cost = 25(84) + 18(67.2) = 2616Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).
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Which step is incorrect?
Answer:
c step 3
Step-by-step explanation:
from the correct x^(2/5) do we suddenly get to
x^(5/2).
1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).
the correct step 3 is then
x^(2/5)x^(-3)
step 4 is then
x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5
Describe the sampling distribution of p^ Assume the size of the population is 15,000 n = 700, P = 0.172 determine the standard deviation of the sampling distribution of p^
Answer
The shape of sampling distribution of ^p is approximately normal because n < greater than 0.05N and np (1-p) > less than 10.
Step-by-step explanation:
The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.
What is defined by the Central Limit Theorem?The distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n is defined by the central limit theorem, where:
The mean is [tex]\mu[/tex] = 9.The standard deviation is √p (1-p)/ n The shape is approximately normal.As long as these two conditions are respected:
n≤ N
np(1-p) > 10.
Here, we have the parameters
n= 700, p = 0.172, N= 15, 000
So, n/N = 0.0466 < 0.05
and, np(1-p)
= 700 x 0.172 ( 1- 0.172)
= 99.69 >10
Then the shape is approximately normal.
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5 students want pancakes and 13 students want waffles. What is the ratio of the number of students who want pancakes to the total number of students?
Answer: 5/18. or 5 over 18
Step-by-step explanation:
5 is the number of kids that want pancakes
13 is the number of kids that want waffles
18 is the total number of students
The question is asking what is the ratio of the number of students who want pancakes to the total number of students?
So you just do
5 kids that want pancakes over 18 kids total or 5/18
Mary has $250 to spend. She buys gift cards for $130. She will use the rest of the money
to buy candy bars that cost $1.50 each. Which inequality can be used to find the greatest
number of candy bars she can buy with the rest of the money?
A. 130x+1.50 ≥250
B. 130x +1.50 ≤ 250
C. 130 +1.50x ≥ 250
D. 130 +1.50x ≤ 250
Answer:
Let's start by finding how much money Mary has left after buying the gift cards:
$250 - $130 = $120
Now, to find the greatest number of candy bars Mary can buy, we need to divide the amount of money she has left by the cost of each candy bar:
$120 ÷ $1.50 = 80
So Mary can buy up to 80 candy bars with the rest of her money.
We can check which inequality represents this situation by plugging in the numbers:
130 + 1.50x ≤ 250
where x represents the number of candy bars Mary buys.
If we subtract 130 from both sides, we get:
1.50x ≤ 120
Finally, if we divide both sides by 1.50, we get:
x ≤ 80
This matches our answer, so the correct inequality is:
D. 130 +1.50x ≤ 250
Answer:
D. 130 +1.50x ≤ 250
Step-by-step explanation:
250 - 130 = 120
1.50x = 120
√49is a
√50is a
V/127 is a non-perfect
125 is rational because it is equal to a
square and therefore
square and therefore
and therefore irrational.
number.
√49 is a rational number. √50 is an irrational number. √127 is an irrational number. 125 is a rational number because it is equal to a perfect cube of the whole number 5.
What does an irrational number look like?A real number is considered to be irrational if it cannot be written as a simple fraction. It cannot be described using a ratio. When p and q are numbers and q is not identical to 0, N is not equivalent to p/q if N is irrational. An illustration of this is the illogic of the integers
Why are certain numbers irrational?A actual number that's unable to be written as the ratio between two integers—that is, as p/q, where both p and q both are integers—is an irrational number.
√49 is a rational number because it is equal to 7, which is a whole number.
√50 is an irrational number because it cannot be expressed as a fraction of two integers and it is not a perfect square.
√127 is also an irrational number because it cannot be expressed as a fraction of two integers and it is not a perfect square.
125 is a rational number because it can be expressed as 5^3, which is a perfect cube of the whole number 5.
Therefore, the correct statements are:
√49 is a rational number.
√50 is an irrational number.
√127 is an irrational number.
125 is a rational number because it is equal to a perfect cube of the whole number 5.
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Can someone help me find X?? Please Help IXL is so difficult ive been doing this for 4 hours.
The value of x is 47 from the given figure.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
The sum of angles is 180 degrees from the figure.
x-2+x-2+x-2+x-2=180
Add the like terms
4x-8=180
Add 8 on both sides
4x=188
Divide both sides by 4
x=188/4
x=47
Hence, the value of x is 47 from the given figure.
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To display charts and other educational material, your teacher has requested that
two rows of strips be placed around the entire room. What is the total length of strips
that is required? (Show how you arrive at your answer)
If to display charts and other educational material, your teacher has requested that two rows of strips be placed around the entire room. the total length of strips is: 4L + 4W.
How to find the length?To find the total length of strips required, we need to know the dimensions of the room. Let's assume that the room has a length of L and a width of W.
If we place two rows of strips around the entire room, one at the top and one at the bottom, the length of each strip will be equal to the perimeter of the room.
The perimeter of the room can be calculated as:
P = 2L + 2W
So, the length of strips required for one row around the room will be:
L1 = P = 2L + 2W
Since we need two rows of strips, the total length of strips required will be:
L2 = 2L1 = 2(2L + 2W) = 4L + 4W
Therefore, the total length is 4 times the length of the room plus 4 times the width of the room.
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