we will find the length of rectangle when area is divided by the breadth of rectangle.
what are the properties of rectangle?Some properties are rectangle are stated below:
1. rectangle has four right angles
2. rectangles has four sides and equal opposite sides which are parallel to each other.
3.rectangle has two diagonals which are similar in length.
which is the formula for finding the length?The bigger side lengths are called length and the smaller sides are called breadth of rectangle.
if area of rectangle is given, we can find length when area is divided by its breadth.
length = area/breadth
hence, length of rectangle is determined from the value of area and breadth.
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What value of x would make these two solids similar? X = 27 x = 30 x = 7.75 x = 31
The value of x is 31 mm, which makes given prisms similar.
What is similarity?Similarity of a triangle is the ratio of their corresponding sides or angles which are equal.
In the given prisms,
The length of the large prism = 29 mm,
And width = x mm.
In small prism, the length = 14.5 mm,
And width = 15.5 mm.
According to given condition,
Both the prisms are similar.
By property of similarity,
The in similar figure, the ratio of corresponding sides are equal.
For the given prisms,
29 / x = 14.5 / 15.5
x = 2 × 15.5
x = 31
The required value of x is 31 mm.
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How do you solve a mode step by step?
The mode for a particular set of observations is 5 since it occurs the majority of the time.
What is mode?The mode formula is described in statistics as the formula for calculating the mode of a given collection of data. The value that occurs most frequently in a particular set is referred to as the mode, and the mode differs across grouped and ungrouped data sets. The mode may be calculated quite easily. Put all of the numbers in a given set in order, either lowest to highest or highest to lowest, and then count how many times each number appears in the set. The mode is the one that appears the most.
Here,
given set of observation:
5, 7, 8, 5, 7, 6, 9, 5, 10, 6
Mode is the number which occurs the highest time.
So here 5 occurs the highest times(3 times).
So,5 is the mode.
The mode for given set of observation is 5 as it occurs most time.
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What is the value of 3 √ 4 √ x when x 4096?
The value of 3 √ 4 √ x is 48
A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.
Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
As per the question, 3 √ 4 √ x when x =4096
first we need to calculate square root of 4096 by prime factorisation method
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)
√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))
√4096 = 2 × 2 × 2 × 2 × 2 × 2
√4096 = 64
Therefore the square root of 4096 = 64.
x=64
now putting the value of x in 3 √ 4 √ x
= 3 √ 4 √ 64
= 3 √ 256
=3×16
=48
so the value of 3 √ 4 √ x is 48
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Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)
√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))
√4096 = 64
x=64
= 3 as 4 as 64
= 3 as 256
=3×16
=48
The diagram shows a convex polygon.
What is the sum of the interior angle measures of this polygon?
The sum of the interior angle measures of the given polygon will be equal to 360°.
What is a Polygon?A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines.
Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.
As per the given information in the question,
Use the formula of the sum of an interior angle of the polygon,
180(n - 2) (i)
Here, n is the number of sides.
As per the given figure, n = 4
Put n = 4 in equation (i)
180 (4 - 2)
180 (2)
= 360°
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help asap please!!!!!!!!!!!!!!!!!!!!!
The value of the highlighted angle using the alternate angle theorem is 130°.
What is are alternate angles?Alternate angles are angles obtained on the opposite sides of a transversal line that have the same size.
To calculate the value of the highlighted angle, we use the alternate angles theorem.
Note: Alternate angles are equal, From the diagram,the values of the two included angles are equal
Given:
Highlighted angle = 18x+4............ Equation 119x-3 = 18x+4 (Alternate angle)Solve for x
19x-18x = 4+3x = 7Substitute the value of x into equation 1
Highlighted angle = (18×7)+4Highlighted angle = 130°Hence, the value of the highlighted angle is 130°.
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What is the leading coefficient of the polynomial function if?
Observing the polynomial and the coefficient provided, The leading coefficient of the polynomial function is the coefficient of the highest degree term.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by leading coefficient?The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.
polynomial of the form [tex]ax^{2}+bx+c[/tex].
Since, The degree is 2 and the coefficient of [tex]x^{2}[/tex] is a.
The leading coefficient is 'a'.
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The figure below is made up of a rectangle and a half of a circle find the perimeter of the figure to the nearest tenth show ur work please use 3.14?for pi
The figure's circumference, as seen in the diagram, is 60.84 m.
What are some instances of perimeters?
The perimeter of an object is the space surrounding it. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
The formula below is used to determine the figure's perimeter.
Formula:
Equation 1: P = 2L + W + W / Equation 1:
P = The figure's perimeter
L is the figure's length.
W is the figure's width.
Considering the query,
Given:
L = 15 m\sW = 12 m\sπ = 3.14
Replace the values in equation 1 with these ones.
P = (15×2)+12+(12×3.14/2)
P = 30+12+18.84
P = 60.84 m
As a result, the figure's perimeter is 60.84 meters.
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How do you prove two triangles are congruent with two congruent sides?
If the two triangles have the two congruent side, then the two triangles are congruent.
The term triangle refers the polygon with three side, three vertices, and three edges.
Here we have to prove that the two triangles are congruent with two congruent sides.
As we know that the term congruent refers if their sides have the same length and angles have same measure.
Based on these theory, and we have to use the another theory called SAS (Side-Angle-Side) tell that any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, if then the two triangles are said to be congruent.
According to this rule, we have clearly identifies that the given two triangles are congruent.
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Work out the fraction that is halfway between 0 and 3/4
The work out fraction that is halfway between 0 and 3/4 is 1/2
In math, what are fractions?
A fraction is a part of the whole. In a quotient, where the numerator and denominator are divided, the number is mathematically expressed. In a straightforward fraction, both are integers. A complicated fraction has a fraction in either the numerator or denominator. In a correct fraction, the numerator is smaller than the denominator.
What seven types of fractions are there?
Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.
A midway fraction is defined.
Halfway of Two Fractions is what? Exactly halfway between 2/3 and 3/4, a fraction cannot be smaller than 2/3 or larger than 3/4. Nothing is halfway but the average of two fractions.
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What is direct and inverse property?
The direct proportion means that two numbers increase or decrease together and in the same ratio and the inverse proportion means that if one number increases the other decreases and vice versa.
Direct Proportion: Two numbers or quantities are said to be in direct proportion if they increase or decrease together in the same ratio.
If a and b are in direct proportion, they can be written as
a ∝ b
Inverse Proportion: Two numbers or quantities are said to be in inverse proportion if one increases when the other decreases and vice versa.
If a and b are in inverse proportion, they can be written as
a ∝ 1 / b
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the distribution of prices for home sales in minnesota is skewed to the right with a mean of $290,000 and a standard deviation of $145,000. suppose you take a simple random sample of 100 home sales from this (very large) population. what is the probability that the mean of the sample is above $325,000?
The probability that the mean of the above sample is $325,000 is 0.0079
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Calculation:We know that, distribution of prices skewed to the right with mean $290000. Let this be x.
Random sample of 100 sales so considering 100 as y.
Standard deviation is $145000 let is be w.
SD for $145000 for 100 random sample data is
z = [tex]\frac{w}{\sqrt{y} } }[/tex] = [tex]\frac{145000}{\sqrt{100} }[/tex].
normalcdf(325000,infinity,290000,14500) = 0.0079.
The probability that the mean of the above sample is $325,000 is 0.0079.
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What is the translation formula?
Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.
Whenever an object is moved from one location to the next without changing its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.
Use P′(x+a,y+b) to translate the point P(x,y), a unit to the right, and b unit up. Use P′(x−a,y−b) to translate the point P(x,y), a unit to the left and b unit to the lower.
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What is an example of a geometric term?
An example of geometric term is ar².
When a set of numbers follow a particular order, they are said to be in sequence.
A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as
Geometric Sequence = a, ar, ar², ar³, ......, arⁿ⁻¹, arⁿ.
where,
The first term is a.
Every two consecutive terms, r is the common ratio.
The number of terms is n.
Let us take an example.
The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series and 2, 6, 18, 54 are geometric terms.
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How do you find holes and asymptotes?
To find holes, look for places where the function is undefined. To find asymptotes, look for where the function approaches infinity or negative infinity. Additionally, look for places where the function has a vertical or horizontal line, as these are also potential asymptotes.
To find holes in a function, look for places where the function is undefined. This can occur when the denominator of a fraction is equal to zero, as the fraction becomes undefined. Additionally, look for places where the function is not continuous, as this can indicate a hole in the graph. To find asymptotes, look for places where the function approaches infinity or negative infinity. This can occur when the denominator of a fraction is equal to zero and the numerator is not. Additionally, look for places where the function has a vertical or horizontal line, as these can also indicate potential asymptotes. Asymptotes are also present when the degree of the numerator is higher than the degree of the denominator. By looking for these areas, you can identify potential holes and asymptotes in a function.
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PLEASE HELP ASAP
At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.
A. 0.7 Years
B. 3.2 Years
C. 1.9 Years
Answer:
c is the closest
Step-by-step explanation:
it should take about 2 years
Which expression is the factored form of 2x² 7x 3?
The expression 2x² + 7x + 3 can be factored as (2x + 3)(x + 1).So, the factored form of 2x² + 7x + 3 is (2x + 3)(x + 1).
To factor this expression, we can use the method of grouping. First, we rewrite the expression as:
2x² + 7x + 3
Then, we group the first and last terms and the middle term:
(2x² + 3) + (7x)
Next, we try to factor in the first group. Since 2x² + 3 can be rewritten as (2x + 1)(x + 3), we can factor the entire expression as:
(2x + 1)(x + 3) + (7x)
Finally, we can rearrange the terms to get the factored form:
(2x + 7x) + (1)(3)
This simplifies to:
(2x + 7x)(1) + (3)
Which is equal to:
(2x + 7x + 3)
And finally:
(2x + 7x + 3) = (2x + 3)(x + 1)
So, the factored form of 2x² + 7x + 3 is (2x + 3)(x + 1).
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What is inequality examples?
An example of inequality is 3 < 5.
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
They are denoted by the symbols ≥ < > ≤. An example of inequality is 3 < 5. This simply means that 3 is less than 5.
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mark and kevin own 1/4 and 1/3 of the books on a shelf, respectively lori owns the rest of the books. if kevin owns 9 more books than mark, how many books does lori own ?
The total number of books Lori owns is 45.
To find the total number of booksLet x be the total number of books.
Mark owns 1/4 of x
Kevin own 1/3 of x
Kevin owns 9 more than Mark, so;
1/4x - 1/3x = 9
Multiplying both sides by 12
4x - 3x = 108
x = 108
The total number of books is 108
but;
Mark owns 1/4 of x = 1/4 x 108
Mark = 27
while Kevin owns 1/3 x 108
Kevin = 36
Therefore, Lori would own
108 - 36 - 27 = 45
Lori's number of books will be 45.
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Is negative 1 a number?
Yes, the expression represented as negative 1 is a number
How to determine the truth value of the statementFrom the question, we have the following parameters that can be used in our computation:
Is negative 1 a number?
As a general rule
Numbers are expressions, words and representations that have an arithmetic value
Using the above as a guide, we have the following:
negative 1
Mathematically, this can be represented as
-1
-1 is an integer
Hence, negative 1 is a number
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Is a triangle congruent if 1 angle of the triangle is congruent and 2 sides are congruent?
The triangles are congruent if there are two pairs of corresponding angles and one pair of corresponding sides.
What is meant by congruent ?If two shapes are congruent, we can also state that their mirror images are identical. If one of the geometric figures can be superimposed on the other so that their entire surface coincides, then the two are said to be congruent, or to be in the relation of congruence. Congruent refers to objects that are precisely similar in size and shape. The forms stay equal no matter how they are rotated, flipped, or turned. Create two circles with the same radius, cut them out, and stack them.To learn more about congruent refer to:
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What is an interest group in AP Gov?
Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
What are interests groups?Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.
By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.
a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.
Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
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Can someone please help me I’ll mark you as brainlist
A=
B=
Answer:
A = 14
B = 4
Step-by-step explanation:
You want to know the values of A and B consistent with ∆EFG being congruent to ∆HJI, given that EF=14B-15, FG=9A-28, HJ=7B+13, JI=7A.
CongruenceCorresponding sides of congruent triangles have the same measure, so we have ...
FG = JI
9A -28 = 7A
2A = 28 . . . . . . add 28-7A
A = 14 . . . . . divide by 2
and ...
FE = JH
14B -15 = 7B +13
7B = 28 . . . . . . . . add 15-7B
B = 4 . . . . . . divide by 7
The values of A and B are 14 and 4, respectively.
Mortgage Details
Principal
Loan Length
Interest Rate
Monthly Payment
A. $500.00
How much of the first
$150,000
payment for the
30 years mortgage described in
the table will go
towards principal?
4%
$716
C. $343.68
B. $372.32
D. $216.00
Answer:
Step-by-step explanation:
New houses in a neighborhood are selling for $175,000. A down payment of $18,000 is
required and a 25-year mortgage at an annual interest rate of 8% is available. Find the
monthly mortgage payment.
Selling price = 175000
down payment = 18000
interest rate = 8% = 0.08
time = 25 years = 300 months (25 * 12)
First, we will compute the total interest for the loan
I = P * R * T
I = (175000 - 18000)(0.08)(25)
I = (157000)(0.08)(25)
I = 314000
The following histogram shows the number of items sold at a grocery store at various prices:
Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.
Which of the following data sets is represented in the histogram?
{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}
Answer:
i think 2.oo or 7.51 not sure
Answer:
the answer to this is a.
Step-by-step explanation:
what is the slope between (-2,-19) and (-12,11)
Answer:
m = -3
Step-by-step explanation:
The slope is rise/run or (y2 - y1) / (x2 - x1)
We see the y increase by 30 and the x decrease by 10, so the slope is
-30/10 = -3
So, m = -3
Answer:
Slope = -3
Step-by-step explanation:
Formula of slope,
→ Slope(m) = (y2 - y1)/(x2 - x1)
Now the slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (11 -(-19))/(-12 -(-2))
→ m = (11 + 19)/(-12 + 2)
→ m = 30/-10
→ m = -(30/10)
→ [ m = -3 ]
Hence, the slope is -3.
What are examples of SAS?
The examples of SAS (Statistical Analysis System) are Mathematical Programming
Examples of mathematical programming.Mathematical Programming: Conventional Procedures.Network optimization algorithms.Project ManagementWhat is SAS ?SAS is a statistical software suite developed by the SAS Institute for data management, advanced analytics, multivariate analysis, business intelligence, criminal investigations, and predictive analytics. It is used for
Access data in almost any format, including SAS spreadsheets, Microsoft Excel spreadsheets, and database files.Manage and manipulate existing data to get the data you need. For example, data can be subdivided and combined with other data to create new columns.Present the results of your analysis in meaningful reports that you can share with others. Created reports can be saved in various formats such as HTML, PDF.Examples of SAS are :
Mathematical Programming.Examples of mathematical programming.Mathematical Programming: Conventional Procedures.Network optimization algorithms.Project Management.Local search optimization.Constraint programming..To learn more about SAS , refer:
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What does ∆ mean in math?
The symbol "≪" means "much less than," and the symbol "≫" means "much greater than."
These symbols are used to express a strong inequality between two values. For example, if you wanted to say that the value of x is much less than the value of y, you could write "x ≪ y." Similarly, if you wanted to say that the value of x is much greater than the value of y, you could write "x ≫ y."
The symbols "≪" and "≫" are used in mathematics to express a strong inequality between two values. They are similar to the familiar inequality symbols ">" (greater than) and "<" (less than), but they indicate a greater degree of inequality.
For example, if you wanted to say that the value of x is much less than the value of y, you could write "x ≪ y." This means that x is much smaller than y, and the difference between the two values is significant. Similarly, if you wanted to say that the value of x is much greater than the value of y, you could write "x ≫ y." This means that x is much larger than y, and the difference between the two values is significant.
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The question is -
What does ≪ mean in math?
How many term of the A. P. 16,14,12,. Are needed to give the um 60? explain why do we get two anwer
The sum of first five or twelve term in the A.P given the value 60.
The term AP refers a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.
Here we have given that A. P. 16,14,12,.
And we need to find the number of term to get the value of 60.
While we looking into the given question we have identified that the common difference d of the A.P. is − 2
Here we also know that the terms of the A.P. are in descending order.
Now, we have to take n = 5 then then first 5 terms are 16,14,12,10,8.
Here we have identified that the sum is 60.
Similarly, here by taking n = 12 , then the last 7 terms ( 12 − 5 ) (12-5) are 6 , 4 , 2 , 0 , − 2 , − 4 , − 5 6,4,2,0,-2,-4,-5
Here we have identified that the sum of these seven terms is 0.
Therefore, sum of first 12 terms is also 60.
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A recipe for a cucumber salad includes 13cup tomatoes for 6 servings. how many cups of tomatoes are needed for 27 servings?
Answer:
PROPORTION:
13:6 = x/27
6x = 27(13)
6x = 351
x = 58.5
Therefore, cucumber salad need 58.5 cups of tomatoes to make 27 servings.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-What is the nature of roots of quadratic equation 2x² 4x 3 0 *?
Nature of roots of equation, 2x² - 4x + 3 = 0 be imaginary when calculated using discriminant.
Define root.In mathematics, the number that results in the original number when it is multiplied by itself is called the root.
How we can find nature of roots?We can find nature of root using discriminant.
B² - 4AC = 0 ----> Roots are equal ,real & rational
B² - 4AC > 0 , and also a perfect square --> Roots are real , distinct & rational
B² - 4AC >0 ,but not a perfect square -----> Roots are real, distinct & irrational
B² - 4AC <0 , ---> Roots are imaginary
B² - 4AC >= 0 ---> Roots are real
Given 2x² - 4x + 3 = 0
Now, Calculate Discriminant,
Here
B = -4
A = 2
C = 3
==> B² - 4AC
= (-4)² - 4 * 2 * 3
= 16 - 24
= -8 < 0
Discriminant is negative
Nature of roots of equation, 2x² - 4x + 3 = 0 be imaginary .
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