The approximate length of each side of the box is 18 inch.
Define circumference.The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere called a geodesic. The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.
The circumference of a circle or other curved geometric object refers to its length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.
Given,
Circumference of circle = 56.5
c = π diameter
diameter = 3.14 × 56.5
diameter = 18
The approximate length of each side of the box is 18 inch.
To learn more about circumference, visit:
https://brainly.com/question/28757341
#SPJ4
A straight line passes through the point T (4,1) and has a gradient of 3/5. Determine the equation of this line. A straight line is drawn through the points A (1,1) and B (5,-2). Determine the equation of the line which passes through D (3,2) and is perpendicular to AB? Write answer in (y=mx+c) form
[tex]T(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{3}{5}}(x-\stackrel{x_1}{4}) \\\\\\ y-1=\cfrac{3}{5}x-\cfrac{12}{5}\implies y=\cfrac{3}{5}x-\cfrac{12}{5}+1\implies {\Large \begin{array}{llll} y=\cfrac{3}{5}x-\cfrac{7}{5} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line AB
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}} \implies \cfrac{ -3 }{ 4 } \implies - \cfrac{3 }{ 4 } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}[/tex]
so we're really looking for the equation of a line that has a slope of 4/3 and that it passes through (3 , 2)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=\cfrac{4}{3}x-4\implies {\Large \begin{array}{llll} y=\cfrac{4}{3}x-2 \end{array}}[/tex]
need halp with the ques answer pls
The value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10
From the given number line
The value of A = 7.51
The number line is defined as the straight line that consist of integers in equal intervals. We can also says that the number line is the pictorial representation of numbers on a horizontal line.
The rounding of a number is defined as a number is make it simple by keeping its value intact but closer to the next number. The closer to tenth, hundredth, thousand etc.
The value of A = 7.51
Rounding the rounder to nearest tenth = 10
Rounding the number to nearest hundredth = 0
Hence, the value of A rounded to the nearest hundredth is 0 and the value of A rounded to the nearest tenth is 10.
Learn more about rounding here
brainly.com/question/1285194
#SPJ1
andre poured 27 ounces of rice into 6 containers . if all containers have the same amount of rice , how many ounces
Answer:
4.5 ounces of rice per container
Step-by-step explanation:
27 / 6 = 4.5
Hope this helps :)
Another piece of steel is also in the shape of a triangle. One side of the triangle is 6 inches long. The lengths of the other two sides are equal and each is less
than 6 inches long. The lengths of the unknown sides of the triangle are whole numbers of inches.
What are all the possible lengths, in inches, of the unknown sides of the triangle? Explain the process you used to find all the possible lengths.
According to the triangle inequality, the length of a triangle's third side must be greater than the sum of any two other triangle lengths, so the length of the steel piece will likely be 4 or 5 inches.
What is triangle inequality?Triangle inequality is a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side; it is represented by the symbols a + b≥ c. The basic tenet of the theorem is that a straight line connects any two points.
Here,
If they are an integer number of inches long and less than six, the following lengths are possible: 4 ,5
According to the triangle inequality, any two other triangle lengths must be greater than the third side of a triangle's length:4+4 = 8 > 6
4+6 = 10 > 4
5+5 = 10 > 6
6+5 = 11 > 5
According to "The Triangle Inequality," which states that the length of a triangle's third side must be greater than the sum of any two other triangle lengths, the piece of steel's potential length will be 4 or 5 inches.
To know more about triangle inequality,
https://brainly.com/question/28823603?referrer=searchResults
#SPJ13
What is the value of x in the system of equations shown below?
5x+4y=1
y=1-x
Answer:
x=-3
Step-by-step explanation:
we can fill the y into the first equation since we already know what it is equal to
5x+4(1-x)=1
5x+4-4x=1
x+4=1
-4. -4
x=-3
Hopes this helps please mark brainliest
Answer:
5x + 4y = 1
Answer: x = 1/5 - 4y/5
y = 1 - x
Answer: x = −y + 1
Step-by-step explanation:
Please give the brainliest, really appreciated.
Here is a correlation, does it also represent causation? Explain you answer.
The number of cold, snow days and the amount of hot chocolate sold at a ski resort.
Between the two variables, the number of cold, snow days, and the amount of hot chocolate sold at a ski resort, there is causation.
Is causation in this relation?For two variables x and y, we have causation when a change in one of the variables causes an immediate change in the other variable as a response.
Here we have the two variables:
x = number of cold, snow days.
y = amount of hot chocolate sold at a ski resort.
Obviously, there is a correlation there, we can even assume that if the days are cold enough, a larger percentage of the people in the ski resort will decide to stay there, and then there is a larger posibility that they will consume hot chocolate there, so yes, there is causation between these two variables.
Learn more about correlation:
https://brainly.com/question/4219149
#SPJ1
227 x 173 simplify using identities. Ple someone answer quickly.....
I need help like asap !!!
only numbers and decimal points
Answer:
use pythagoras theorm you will get 20.35 ft
Step-by-step explanation:
Answer:
20.3490
Step-by-step explanation:
a^2+b^2=c^2
15.5^2+13.2^2=c^2
240.25+174.24=c^2
414.49=c^2
c=20.3590
I'm not sure I need help.
Answer:
A
Step-by-step explanation:
It is perpendicular because it forms a right angle with the second line
the annual salaries of workers in a large manufacturing factory are normally distributed with a mean of rs. 48,000 and a standard deviation of rs. 1500. find the probability of workers who earn between rs. 35,000 and rs. 52,000. a. 0.42
The probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.
What is defined as the normal distribution?A data set with a normal distribution has the majority of its values clustered in the middle of the distribution and the remaining values tapering off symmetrical toward either end.
For the given question;
z = (x - μ)/σ
In which,
x = sample mean
μ = mean (48,000)
σ = standard deviation (1500)
x = 35,000 and x = 52,000
For x = 35,000.
z = (35,000 - 48,000)/1500
z = -8.66
Check the p value from table
p(z = -8.66) = 0
For x = 52,000
z = (52,000 - 48,000)/1500
z = 2.66
p(z = 2.66) = 0.99617
P(35,000 < x < 52,000) = 0.99617 - 0
P(35,000 < x < 52,000) = 0.99617
Thus, the probability of workers who earn between rs. 35,000 and rs. 52,000 is 99.62 %.
To know more about the normal distribution, here
https://brainly.com/question/4079902
#SPJ4
What is the inverse of [tex]f(x) = \sqrt{3x - 2}[/tex] for [tex]x \geq \frac{2}{3}[/tex]
Answer:
[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]============
Given function[tex]f(x)=\sqrt{3x-2}[/tex]Find its inverse, substitute x with y and f(x) with x[tex]x=\sqrt{3y-2}[/tex][tex]x^2=3y-2[/tex][tex]3y=x^2+2[/tex][tex]y=\cfrac{x^2+2}{3}[/tex]The inverse of f(x) is[tex]f^{-1}(x)=\cfrac{x^2+2}{3}[/tex]sally purchases some apples and oranges for $5.25. oranges cost 51 cents each and apples costs 42 cents each. sally purchased 11 pieces of fruit in total. how many oranges did sally purchase? g
Sally purchased 7 pieces of orange .
Conversion applied :
1 dollar = 100 cents
Cost of 1 piece of orange = 51 cents
Cost of 1 piece of apple = 42 cents
Let pieces of orange purchased be x .
⇒ pieces of apples purchased = 11 - x .
The following linear equation becomes ,
51 x + 42 ( 11 - x ) = 5.25 * 100
Solving linear equation in 1 variable given above ,
9 x = 63
x = 7
⇒ no. of oranges purchased = 7
Therefore Sally purchased 7 pieces of orange .
To learn more on linear equations follow link :
https://brainly.com/question/24085666
#SPJ4
2. One plane
points_____
passes through three noncollinear
A. Point, Line, and Plane Postulates do not
address this topic directly.
B. always
C. never
D. sometimes
Please help me I don’t get it
Step-by-step explanation:
3.
we need to find the map size based on actual miles.
so, we find how many map ft are 1 actual mile :
5 ft / 20.5 corresponds to 1 actual mile.
5 / 20.5 = 10/41 ft
now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.
and so, this is
10/41 × 15.5 = 155/41 = 3.7804878048780... map ft
4.
30.5 model cm = 70.6 actual m
1 model cm = 70.6/30.5 = 2.314754098... actual m.
8 model cm = 8×2.314754098... =
= 18.51803279... actual m
5.
7 map m = 14 actual miles
1 map m = 14/7 = 2 actual miles.
14 map m = 14×2 = 28 actual miles.
6.
8 map km = 6 actual miles
we need to calculate the map km, so we need the standard actual mile
1 actual mile = 8/6 = 4/3 = 1.3333333... map km.
50.2 actual miles = 50.2×1.333333... =
= 66.93333333... map km.
7.
80.2 model cm = 40.2 actual m
1 model cm = 40.2/80.2 = 0.501246883... actual m
10 model cm = 10×0.501246883... =
= 5.01246883... actual m
8.
6 map m = 15 actual miles
1 map m = 15/6 = 5/2 = 2.5 actual miles
8.8 map m = 8.8×2.5 = 22 actual miles
9.
5 map ft = 16.5 actual miles
1 actual mile = 5/16.5 = 0.303030303... map ft
45.6 actual miles = 45.6×0.303030303... =
= 13.81818181... map ft
10.
65.8 model cm = 95.6 actual m
1 model cm = 95.6/65.8 = 1.452887538... actual m
12 model cm = 12×1.452887538... =
= 17.43465046... actual m
-7/6 - (-1/9) Evaluate.
- Simplest form.
-1/3 + 5/7 Add.
- Simplest form.
After evaluating those terms,
we get the answer as
1. -7/6 - (-1/9) =[tex]\frac{-19}{18}[/tex]
2. -1/3 + 5/7 = = [tex]\frac{8}{21}[/tex]
What are fractions?A fraction is a number that has a numerator as well as a denominator.
1 / 2 is an example of a fraction. The top part of the fraction is the numerator and the bottom part of the fraction is the denominator.
Fractions represent one value. Dividing the numerator by the denominator shows what decimal value fractions have. For example, 1/2 is equal to 1 ÷ 2 which equals 0.5.
in this we have to evaluate
1. -7/6 - (-1/9)
= [tex]\frac{-7}{6}[/tex] - ([tex]\frac{-1}{9}[/tex])
= [tex]\frac{-21+2}{18}[/tex]
=[tex]\frac{-19}{18}[/tex]
Hence , after solving we get the desired result as -19/18 .
2. -1/3 + 5/7
= [tex]\frac{-1}{3}[/tex] + [tex]\frac{5}{7}[/tex]
= [tex]\frac{-7 + 15}{21}[/tex]
= [tex]\frac{8}{21}[/tex]
Hence, after solving we get the desired result as 8/21 .
To learn more about addition of fractions, visit ,
https://brainly.com/question/10354322
#SPJ1
When $720 is divided in the ratio 3:5, the larger share is
Answer:
The larger share is $450.
Step-by-step explanation:
[tex]\frac{3}{5} =\frac{3x}{5x} \\\\3x-the smaller share\\5x-the larger share\\3x+5x=8x\\8x-money to split\\8x=720 /:8\\x=90\\5x=5*90=450[/tex]
share #5200 in the ratio 13:27
Carlos’s is a receptionist at a law firm, he spend 2 minutes routing each phone call as it come in. Write an equation that shows how the total number of minutes Carlos spend routing call y depend on the number of call x
Answer: 2y or 2 x y
Step-by-step explanation:
2 times the minutes
therefor if carlos answers 4 calls, you would say 2 x 4 and you ranswer would be 8 minutes.
1. Which can be used to prove dit? (1 point)
d
O Transitive Property of Parallel Lines
O Transitive Property of Congruence
O Perpendicular Transversal Theorem
O converse of the Corresponding Angles Postulate
Use the power of a power property to select each correct way to rewrite the expression x15
The correct way by using the power of a power property we can write as;
⇒ x¹⁵ = (x³)⁵
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x¹⁵
Now,
Since, The expression is,
⇒ x¹⁵
We can write the expression as by using the power of a power property as;
⇒ x¹⁵ = (x³)⁵
Thus, The correct way by using the power of a power property we can write as;
⇒ x¹⁵ = (x³)⁵
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
If one factor of -24x^4y^5+16x^2y^3 is -8x^2y^3 what is the other factor
The polynomial is, -24x⁴y⁵+16x²y³. One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method.
What is polynomial?Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is,
=-24x⁴y⁵+16x²y³
One of the factor is (-8x²y³)
=-8x²y³*(3x²y²-2)
So other factor is 3x²y²-2.
One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method for the The polynomial -24x⁴y⁵+16x²y³.
To know more about polynomial,
https://brainly.com/question/20121808?referrer=searchResults
#SPJ13
please solve the problem
The value of x in the remote angles of the triangle is 22.
How to find external angle of a triangle?The exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
In other words the sum of the remote interior angle is equals to the external angle.
Therefore,
110 = 3x + 2x
110 = 5x
divide both sides by 5
110 / 5 = 5x / 5
x = 22
Therefore, using exterior angle theorem, the value of x is 22.
learn more on angle here: https://brainly.com/question/25950519
#SPJ1
Josiah read 28 pages in 1 3/5 hours. At what rate, in pages per hour, did he read?
PLEASE HELP!!!!
Josiah read at the rate of 17.5 pages per hour.
What is the speed of reading?Speed of reading is the number of pages read per hour.
Given here, Josiah read 28 pages in 1 ³/₅ hours which is in mixed fraction
now 1 ³/₅ = ⁸/₅ = 1.6 hours
therefore the speed of reading is = 28 / 1.6 = 17.5 pages hour.
Hence, Josiah's the speed of reading is 17.5 pages hour.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
6. Find the number of each category of voters based on the
information given below.
Total number of votes = 300000 votes
Percentage of
Votes, Others,
4%, 4%
Percentage
of Votes,
Females,
47%,
Percentage
of Votes
Males, 49%
Number of Male voters =
Number of female voters =
Number of voters to "Others" category=
The number of Male voters =14700, The number of female voters =14100 and the number of voters to "Others" category=1200
How do you calculate a percentage?
A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, the decimal 0.35, or the fraction, represents 35%.
Given : Total votes = 300000
males = 49%
females = 47%
Others = 4%
Number of votes for males = [tex]\frac{49}{100} *300000[/tex] = 14700
Number of votes for females = [tex]\frac{47}{100} *300000[/tex] = 14100
Number of votes for others = [tex]\frac{4}{100} *300000\\[/tex] = 1200
Learn More about Percentage
https://brainly.com/question/24304697
#SPJ13
please helpppp!!!!!!!
Answer:
A
Step-by-step explanation:
function because for every x there is only one y
the domain are the value of x
the range are the value of y
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (Choose from: shift up, shift down, shift right, shift left). Part B: Solve for k in each type of transformation. (This means tell me how many units you are shifting for each transformation you picked in part A). Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (This would be f(x) + k, f(x) - k, f(x -k), or f(x+k) but replace k with the values from part B).
A. The translations used in the transformation of f(x) to g(x) can be given as follows:
Left 6 units.Up 18 units.B. The solutions for k are given as follows:
Left 6 units: k = 6.Up 18 units: k = 18.C. The rules are given as follows:
Left 6 units: g(x) = f(x + 6).Up 18 units: g(x) = f(x) + 18.What are the translations to an image?There are four cases for the translation of an image, and they can be represented as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.From the graph of the linear functions shown at the end of the answer, two translations are possible, listed as follows:
Left 6 units: As the x-intercept of g(x) is of -6 and the x-intercept of f(x) is of x = 0.Up 18 units, as the y-intercept of g(x) is of 17 and of f(x) is of -1, 17 - (-1) = 18.The values of k are equivalent to the values of a in the bullet points listing the translations above, and the equations were also built from those bullet points.
Missing InformationThe lines are shown by the image at the end of the answer.
More can be learned about translations at brainly.com/question/28174785
#SPJ1
sin(2x)cos(7x) - cos(2x)sin(7x) = 0.1
Answer:
x≈-0.0200335+2kπ/5
x≈-0.648352+2kπ/5
Step-by-step explanation:
sin(-5x)=0.1
-sin(5x)=0.1
sin(5x)=-0.1
sin(5x)=1/10
5x=arcsin(- 1/10)
5x=π-arcsin(- 1/10)
5x=π-arcsin(- 1/10)
5x=π-arcsin(- 1/10)+2kπ
5x=π-arcsin(- 1/10)+2kπ
x=arcsin (1/10)/5 + 2kπ/5
x=arcsin (1/10)/5 + 2kπ/5
x≈-0.0200335+2kπ/5
x≈-0.648352+2kπ/5
of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used
The probability of selecting a blonde is 0.40
What is probability?Probability is the likelihood that something will occur.
In this case, from the twenty students, it should be noted that the number of blondes are 8.
Black hair = 5
Blonde hair = 8
Brown hair = 5
Red hair = 2
Therefore, the probability of choosing a blonde will be:
= Number of blonde / Total students
= 8/20
= 0.40
The probability is 0.40
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Complete question
Of the 20 students in Kendra's class 5 have black hair eight have blonde hair 5 have brown hair 2 have red hair.kendra used the spinner to blonde hair. What's the experimental probability that the student will have blonde hair?
A soft drink manufacturer has a daily production cost of C = 70,000 - 120x + 0.055x ^ 2 , where C is the total cost (in dollars) and x is the number of units produced. How many units should they produce each day to yield a minimum cost?
Show all work please.
They should produce 1091 units each day to yield a minimum cost.
What is the vertex formula?
When the graph crosses its symmetry axes, the vertex formula aids in determining the vertex coordinate of a parabola. The vertex point is often represented by (h, k).
We know that a parabola's conventional equation is y=ax²+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient of x² is positive. The vertex should be at the peak of the U-shaped curve if the coefficient of x² is negative.
We have,
C = 70,000 - 120x + 0.055x²
C = 0.055x² - 120x + 70,000
Hence, for this equation, the graph will be parabola opening upward.
For that, the vertex will be the minimum cost
x = (-b) / 2a
Here, a = 0.055 , b = -120
Now, find and put the values of x.
minimum cost (x) = ( -(-120) ) ÷ ( 2 × 0.055 )
= 120 ÷ 0.11
= 120 ÷ 0.11
= 1090.90 ≈ 1091 units
The minimum cost will be yield for 1091 units.
Therefore, They should produce 1091 units each day to yield a minimum cost.
To read more about Vertex Formula visit,
brainly.com/question/525947
#SPJ13
write this equation of a line in point slope form: slope 1/2; (3, -1)
Answer:
y + 1 = 1/2 (x - 3)
Step-by-step explanation:
Point-slope form of an equation is a shortcut, fill-in-the-blank way to write the equation of a line. All you need is slope (usually symbolized with an m) and a point (any point on the line)
Here's Point-slope:
y - Y = m (x - X)
The slope they gave you is 1/2, put that in for the m.
And also fill in 3 for the X and -1 for the Y. Because a point is (X,Y)
Just leave the first y as a y, right there. And leave the first x in the parentheses as an x. They are variables in the equation. They stay letters.
y - -1 = 1/2 (x - 3)
Simplify.
y + 1 = 1/2 (x - 3)
Minus a negative is the same as plus a positive, that's what happened there on the left. Also, when you write it, make sure the 1/2 is beside the parentheses on the right. The parentheses should not be on the bottom with the 2, but just beside the fraction.