Answers
The maximum and minimum set of dimension for the rectangular field are-
Maximum (x, y) = (8.50, 22)Minimum (x, y) = (16.50, 11.33)What is defined as the term rectangle?A rectangle is a four-sided configuration with 90-degree angles at all four corners. A rectangle's sides are same length than the one opposite it.
The perimeter of the rectangular field is given in the form of equation;
4x + 3y = 100
Where the total area is given as;
y(x+x) = 374
2xy = 374
Solving the equation;
(4 x+3 y)² = 16x² + 12×2 x y + 9 y² = 10000
2 x y = 374,12.
2 x y = 12 × 374
2 x y = 4488
16x² + 9 y² = 10000 - 4488
16x² + 9 y² = 5512
Now, solve for the other set of value;
(4 x-3 y)² = 16x² - 12×2 x y + 9 y²
Put the value of 16x² + 9 y² = 5512.
(4 x-3 y)² = 5512 - 12×2 x y
Put 2xy = 374
(4 x-3 y)² = 5512 - 4488
(4 x-3 y)² = 1024
Case1: 4 x-3 y = √{1024}
4 x-3 y = 32
And, 4 x + 3 y = 100
Solving both;
8x = 132
x = 16.5
and y = (100 - 32)/6
y = 11.33
Case 2: 4 x - 3 y = -32
4 x + 3 y = 100
Solving both by elimination method.
x = 8.5 and y = 22
Thus, the minimum and maximum dimension for the rectangular garden are-
Maximum (x, y) = (8.50, 22)
Minimum (x, y) = (16.50, 11.33)
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Related Questions
Yuki was curious if △ A B C △ABCtriangle, A, B, C was congruent to △ F E D △FEDtriangle, F, E, D, so she tried to map one triangle onto the other using transformations: A coordinate plane. The x- and y-axes both scale by one. A pre-image Triangle A B C has point A at two, two, point B at five, four, and Point C at eleven, two. Another triangle D E F has point D at three, twelve, point E at nine, ten, and point F at twelve twelve. Triangle A B C is translated four units to the right and six units up to form the image Triangle A prime at six, eight, B prime at nine, ten, and C prime at fifteen, eight. E E D D F F A A B B C C A coordinate plane. The x- and y-axes both scale by one. A pre-image Triangle A B C has point A at two, two, point B at five, four, and Point C at eleven, two. Another triangle D E F has point D at three, twelve, point E at nine, ten, and point F at twelve twelve. Triangle A B C is translated four units to the right and six units up to form the image Triangle A prime at six, eight, B prime at nine, ten, and C prime at fifteen, eight. Yuki concluded: "It's not possible to map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D using a sequence of rigid transformations, so the triangles are not congruent." What error did Yuki make in her conclusion? Choose 1 answer: Choose 1 answer: (Choice A) A One more transformation — a rotation — would map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D. So the triangles are congruent. (Choice B) B One more transformation — a reflection — would map △ A B C △ABCtriangle, A, B, C onto △ F E D △FEDtriangle, F, E, D. So the triangles are congruent. (Choice C) C There is no error. This is a correct conclusion.
Answers
Answer:Nose
Step-by-step explanation:Q es eso
If g(x) = 1 − x3, find g'(0)
Answers
Answer:
Step-by-step explanation:
we just have to substitute 0 in place of x
1-(0)³, 0³ is still 0, so we're left with 1-0=1
mark me brainliest of it helped
Find the value of X.
Answers
Answer:
It's x+10=5+2x+6=>x=-1
Write the following in simplest form
in parenthesis negative two thirds times x minus 6 end quantity minus quantity negative 14 plus one sixth times x end parenthesis
three over 6 times x plus 8
three over 6 times x plus negative 20
negative five sixths times x plus eight
negative five sixths times x plus negative 8
Answers
The simplest form in parenthesis is option C which is negative five sixths times x plus eight (- 5x/6 + 8)
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
WE have Given equation as; parenthesis negative two thirds times x minus 6 end quantity minus quantity negative 14 plus one sixth times x end parenthesis,
( -2/3 * x - 6 ) - ( -14 + 1/6 * x)
Now solving the equation will gives;
= ( -2/3 * x - 6 ) - ( -14 + 1/6 * x )
= ( -2x/3 - 6 ) - ( -14 + x/6 )
= -2x/3 - 6 + 14 - x/6
Now collecting like terms;
= -2x/3 - x/6 - 6 + 14
= - 5x/6 + 8
Therefore the correct answer is option C; negative five sixths times x plus eight (- 5x/6 + 8)
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Write the equation of the line that passes through the points (7,-4) and (5,-2).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
Answers
Step-by-step explanation:
-2-(-4)= 2
5-7=-2
2/-2= -1
M= (-1)
y=mx+b
-2=(-1)(5)+b
-2=(-5)+b
+5. +5
3=B
Y= -1x+3
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+106t+206.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?
The rocket splashes down after
seconds.
How high above sea-level does the rocket get at its peak?
The rocket peaks at
meters above sea-level.
Answers
If the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.
Given that the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206.
We are required to find the time after which the rocket will splash down into the ocean and the time after which the ocean will get its peak and the height of the rocket.
The rocket will splash down when the height of the rocket is 0.
-4.9[tex]t^{2}[/tex]+106t+206=0
4.9[tex]t^{2}[/tex]-106t-206=0
t={106±[tex]\sqrt{(106)^{2} -4*4.9*(-206)}[/tex]}/2*4.9
t=(106±[tex]\sqrt{15273.6}[/tex])/9.8
We have to ignore the negative sign because the time is always shown in positive signs.
t=(106+123.59)/9.8
t=229.59/9.8
t=23.43 seconds
Rocket will be at its peak when the slope of the equation is 0.
[tex]h^{I}[/tex](t)=-9.8t+106
-9.8t+106=0
-9.8t=-106
t=-106/-9.8
t=10.82 seconds
To find the height we need to use t=10.82 in the equation.
h(10.82)=[tex]-4.9*(10.82)^{2} +106*10.82+206[/tex]
=-573.65476+1353.92
=779.26524 meters.
Hence if the function of height in time is h(t)=-4.9[tex]t^{2}[/tex]+106t+206,then the rocket will splash down into the ocean after 23.43 seconds and the rocket will get its peak after 10.82 seconds at a height of 779.26524 meters above the sea level.
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(-4c³d)²
someone answer this asap i’ll make it the brainiest please
Answers
[tex] \bf \implies {16} {c}^{6} {d}^{2} [/tex]
Step-by-step explanation:(-4c³d)² Evaluate it
We know that (a×b×c)² = a²b²c²According to the question
(-4 × c³ × d)²[tex] \bf { - 4}^{2} \times {c}^{3 \times 2} \times d^{2} [/tex][tex] \bf {16}\times {c}^{6} \times {d}^{2} \\ \bf or \\ \bf16 {c}^{6} {d}^{2} [/tex]For recent year, 31 more Democrats than Republicans were in the US House of Representatives if the total number of representatives in the house from these two parties was 433, find the number of representatives from each party
Answers
there were total 201 republicans and 232 democrats .
WHAT ARE LINEAR EQUATIONS ?There is only one or two variables in a linear equation. Nothing can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All the dots fall on the same line when the values that, when added together, make a linear equation true are determined and plotted on a coordinate grid.
CALCULATIONlet no. of republicans be x
then, no. of democrats is x + 30
total no. of members given are = 433
so if we make the equation
x + x + 30 = 433
2x = 403
x = 201 members of republican
democrats = 201 + 30 = 232
therefore , there were total 201 republicans and 232 democrats .
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A kite is flying 9.75 feet above a lamp post that is 84 2/3 feet tall. How high is the kitchen flying?
Answers
The kite is flying at the height of 94 5/2 feet.
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
= 9.75 +84 2/3 { 9+0.75 = 9.75 84 2/3}
= 9 + 0.75 +84 2/3 { a+b+c+d = a+c+b+d}
= 9 + 84 + 3/4 + 2/3
=93 + 3*3 / 4*3 + 4*2 / 4*3
= 93 + 9/12 + 8/12
= 93 + 17/12
= 93 + (1 + 5/12)
= 94 + 5/12
=94 5/12 feet
{kite height = (post height + the height of the kite above the post)
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2. Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.
Answers
The expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
What is a fraction?A fraction is used to represent the portion/part of the whole thing.
We have,
The total amount from each person:
= 18 + 18.60 +18.90 + 17.40
= $72.90
We can write the amount that each person will pay using fractions as:
Fraction = Total bill of individual share / Total bill all together
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
Thus the expression of each person's contribution is:
Me - 18 / 72.90 = 0.25
Friend 1 - 17.40 / 72.90 = 0.01
Friend 2 - 18.90 / 72.90 = 0.26
Friend 3 - 18.60 / 72.90 = 0.26
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1.Rahul makes a decorative book mark of dimensions 2
inches x 4 inches. Find the area of the bookmark.
Answers
The area of rectangular decorative bookmark prepared by Rahul is 8 square inches
Rahul is making a decorative bookmark whose dimensions are 2 inches× 4 inches which clearly states that the decorative bookmark prepared by Rahul is in the shape of a rectangle whose length is 4 inches and breath is 2 inches
In this question we are told to find out the area of rectangular bookmark So, we have to use the formula of area of rectangle
area of rectangle = length of rectangle × breath of rectangle
= 4 inches × 2 inches
= 8 inches²
Hence the area of rectangular decorative bookmark prepared by Rahul is 8 square inches
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Multiply these polynomials using the FOIL method.
[tex]( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )
( m^{\frac{1}{3} } + y^{-\frac{1}{2} } )[/tex]
Answers
Foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for our answer.(m^1/3+y^-1/2)(m^1/3+y^-1/2) is m^2/3+2m^1/3.y^-1/2+y^-1..
What is Multiplication?
Multiplication is a method of finding the product of two or more numbers.
In foil Method we multiply first terms, then outside terms, then inside terms, then last terms, and then combine like terms for your answer.
(m^1/3+y^-1/2)(m^1/3+y^-1/2)
=m^1/3.m^1/3+m^1/3.y^-1/2+m^1/3.y^-1/2+y^-1/2.y^-1/2
When bases are same then the power will be added.
=m^2/3+2m^1/3.y^-1/2+y^-1.
Therefore m^2/3+2m^1/3.y^-1/2+y^-1 is the required solution of polynomial (m^1/3+y^-1/2)(m^1/3+y^-1/2).
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Find the solution of this system of equations
-2x - by =
- 16
4x - 6V
=
-58
Answers
The values x and y are found as (x = -7) and (y = 5).
What is defined as the system of equations?When there is more than one unidentified and enough content to set up equations within these unknowns, systems of equations are being used to solve applications. In general, we require sufficient information to established n equations in n unknowns if there are n unknowns.One solution exists for a set of 2 or more equations usually contains a set of common variables. When there is no solution to a system of equations with different slopes.The two given equation are-
-2x - 6y = -16 .......equation 1
4x - 6y = -58 .......equation 2
Multiply equation 1 with -1.
-(-2x - 6y = -16)
Solve by eliminations; subtract equation 2 from 1.
2x + 6y = 16
4x - 6y = -58
Further simplifying;
6x = -42
divide both sides by six
x =- 7
Put the value of x equation 1.
2(-7) + 6y = 16
-14 + 6y = 16
6y = 30
y = 5
Thus the values of the variables are found as (x = -7) and (y = 5).
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The correct question is-
Find the solution of this system of equations.
-2x - 6y = -16
4x - 6y = -58
What is the answer ? How do you work this problem out ?
Answers
Check the picture below.
Write the following in algebraic language. x is 0.28 of y.
Answers
The mathematical statement in algebraic language is x = 0.28y
How to write the mathematical statement in algebraic language?The mathematical statement is given as
x is 0.28 of y
In mathematics, "of" means multiplication
So, we have
x is 0.28 of y => x is 0.28 * y
Evaluate the product
x is 0.28 of y => x is 0.28y
In mathematics, "is" means equation
So, we have
x is 0.28 of y => x = 0.28y
Hence, the mathematical statement in algebraic language is x = 0.28y
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July, May, March, what comes next?
Answers
Answer:
January
Step-by-step explanation:
subtract 2 from each numbe(month)
7-2=5-2=3-2=1
7: July
5: May
3: March
1: January
The stock bar chart to the right presents trading
information for the week of April 28 for the Ford Motor
Company.
● Which day had the greatest high price?
● What was the day’s close on April 30?
Answers
The stock bar chart of Ford the greatest high price is on 12/09/22 for US: F: $15,540. The day close on April 30 that with a high at April 27, 2022, 15.10 high.
Initial Data Representation Lists or graphs can be used to present data. A stock chart is a graphical representation. Most stock charts display historical data regarding a stock's trading prices and volume. The stock bar chart is a typical stock chart type.
A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Hence, the stock bar chart of Ford is the greatest high price is on 12/09/22 for US: F: $15,5400 and the day close on April 30 that with a high at April 27, 2022, 15.10 high.
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What’s 6 and 2/3 divided by 8
Answers
Answer: 5/6
Step-by-step explanation:
Answer:
6 divided by 8 is 3/4 (.78)
2/3 divided by 8 is 1/12 (0.083)
6 2/3 divided by 8 is 5/6 (0.83)
a phone company offers two monthly plans. A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but cost $0.11 for each minute of calls
Answers
For 1,250 minutes, both plans will charge the same amount.
For how many minutes both plans charge the same?We know that Plan A costs $25 plus $0.09 per minute, so if you have x minutes of calls, the cost is given by the linear equation:
A(x) = $25 + $0.09*x
And plan B just charges $0.11 for each minute, then here we have the linear equation:
B(x) = $0.11*x
The costs are the same when:
A(x) = B(x)
$25 + $0.09*x = $0.11*x
Now we can solve this for x.
$25 = $0.11*x - $0.09*x = $0.02*x
$25/$0.02 = x = 1,250
We conclude that for 1,250 minutes, both plans will charge the same amount.
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What is the coordinate of the midpoint of GO?
I need help please
Answers
Answer:
0
Step-by-step explanation:between 4 and -4 is 0
About 1% of the population has a particular genetic mutation. 137 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 137.
Find the standard deviation for the number of people with the genetic mutation in such groups of 137.
(Round to the nearest 2 decimal places.)
Answers
Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:
Mean: 1.37.Standard deviation: 1.16.What are the mean and the standard deviation of the binomial distribution?The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The mean is given by the following rule:
E(x) = np.
The standard deviation is given by the following rule:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In the context of this problem, the parameters are found as follows:
p = 0.01, as about 1% of the population has a particular genetic mutation.n = 137, as 137 people are randomly selected.Hence the mean and the standard deviation are, respectively, given by:
E(x) = np = 137 x 0.01 = 1.37.[tex]\sqrt{V(X)} = \sqrt{137(0.01)(0.99)} = 1.16[/tex]More can be learned about the binomial distribution at https://brainly.com/question/24863377
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For the point P(-20,7) and Q(-13,12), find the distance d(P,Q) and the
coordinates of the midpoint M of the segment PQ.
Answers
Distance
[tex]d(P,Q)=\sqrt{(-20-(-13))^2+(7-12)^2} \\ \\ =\sqrt{49+25} \\ \\ =\boxed{\sqrt{74}}[/tex]
Midpoint
[tex]M=\left(\frac{-20-13}{2}, \frac{7+12}{2} \right)=\boxed{\left(-\frac{33}{2}, \frac{19}{2} \right)}[/tex]
Refer to the number line. Find the coordinate of point K that is 4/5 of the distance from A to F.
Answers
Point K coordinate from the given number line is; -1²/₃
How to Partition a Line Segment?Partitioning of a line segment means dividing the line segment in the given ratio. The two numbers in the ratio must add up together to equal the total number of partitions of the line segment. For example: If a line segment AB is divided into a ratio of 2:3, it shows that the line segment can be divided into 5 equal sections. Hence, there are 5 parts in total, in which 2 parts will be before the desired point and 3 parts will be after the desired point.
We are given a line segment A F divided into different parts of points B, C, D and E.
Now, we want to find the point K such that it divides Line segment A F in the ratio 4:5.
Now, from the number line, line A F measures 12 units. Thus;
Point K = (4/5) * 12 = 5¹/₃ from point A
Thus, point K coordinate = -7 + 5¹/₃
Point K coordinate = -1²/₃
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Amy has three times as many Star Wars toys as Carly. Total they have 232 Star Wars toys. How many Star Wars toys does Amy have?
Answers
Answer:
174
Step-by-step explanation:
Since we don't know how many toys Carly has, we'll use a variable (x). The equation would then be:
x+3x=232
We can then combine like terms, and the new equation would be:
4x=232
Now, we have to get x by itself. To do this, divide both sides by 4, and you get:
x=58
But, remember, x is how many Carly has. Amy has three times that, so:
58*3=174
Amy has 174 toys.
Hope this helps!
Given the graph of a radical function, which statement is correct?
Radical function going from the point negative 3 comma negative 2 up to the right through the point 1 comma 0
R colon open bracket y is an element of all real numbers close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 3 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to negative 2 close bracket
R colon open bracket y is an element of all real numbers such that y is greater than or equal to 1 close bracket
Answers
Greetings from Brasil...
The range will be the region of the Y axis comprised by the function. Looking at the graph, we conclude that:
Range = {Y ∈ ℝ/Y ≥ - 2}f(x)= -x^2 + 4x +5 and g(x)= -f(x) + k. find the values of k so that g(x) = 0 has no real roots
Answers
According to the given quadratic equation the values of k = -1.
In mathematics, what is quadratic equation?A quadratic equation seems to be a second-order polynomials equation with a single variable x ax2+bx+c=0. Ta he fundamental theorem of algebra assures that it has at least one solution because it is second-order polynomial equation.
According to the given data:g(x)= -f(x) + k. given
Putting the value of f(x).
g(x)= - -x^2 + 4x +5 + k
= x^2 - 4x - 5 + k
= 0
When g(x) = 0 has no real roots, Δ < 0 a quadratic equation of one variable has no real roots.
So,
16 - 4(5 + k) = 0
16 - 20 -4k < 0
-4 -4K < 0
4K> -4
k>-1
According to the given quadratic equation the values of k = -1.
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Points E, D, and H are the midpoints of the sides of ΔTUV. UV=110, TV=140, and HD=110. Find HE.
Answers
The required value of HE is 55 units.
What is proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.
Now it is given that Points E, D, and H are the midpoints of the sides of ΔTUV.
UV = 110,
TV = 140, and
HD = 110
Since the triangles are similar there exists correspondance in the angles, so in order to solve this you just have to clear the function:
HD/HE = TV/(TV/2)
Put the values we get,
110/HE = 140 / 70
⇒ HE = 110*70/140
⇒ HE = 55 units
Thus, the required value of HE is 55 units.
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Dexter Technology maintains its records using cash-basis accounting. Consider the following:
During the year, the company received cash from customers, $45,000, and paid cash for salaries, $24,500.
At the beginning of the year, customers owe Dexter $1,200. By the end of the year, customers owe $7,000.
At the beginning of the year, Dexter owes salaries of $6,000. At the end of the year, Dexter owes salaries of $3,500.
Answers
Based on the records of Dexter Technology, the net income using the cash-basis is $20,500 and the net income using accrual basis is $28,800.
What is the net income?Using the cash basis, the net income will be only for transactions that cash has either been received for or paid for:
= Cash from customers - Cash paid for salaries
= 45,000 - 24,500
= $20,500
The net income using accrual caters for the expenses and revenue that happened in a year regardless of when they are paid:
= Revenue - Salaries expense
= (45,000 - 1,200 + 7,000) - (24,500 - 6,000 + 3,500)
= $28,800
Question is:
Determine cash-basis net income and accrual-basis net income for the year.
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a duck spends about .45 of a day sleeping. how much hours does a duck sleep each day
Answers
Answer:
10.8
Step-by-step explanation:
24 * .45 = 10.8
a pound of chocolate is 6.25. How much of a pound would one dollar buy
Answers
Answer:
0.16 of a pound for one dollar
Step-by-step explanation:
all you have to do is 1 ÷ 6.25
[tex]\begin{array}{ccll} \stackrel{chocolate}{lbs}&\$\\ \cline{1-2} 1 & 6.25\\ x& 1 \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{6.25}{1} \\\\\\ 1=6.25x\implies \cfrac{1}{6.25}=x\implies 0.16=x[/tex]
