The percentage change in its perimeter would be 36.66%
What is the perimeter of the rectangle?
The perimeter of a shape is the length of its outline. To calculate the perimeter of a rectangle or square, add the lengths of all four sides. In this case, x represents the rectangle's length, while y represents its width. P=x+x+y+y is the perimeter.
Given:
The length of a rectangle is twice its breadth.
Length is increased by 10%.
Breadth is decreased by 10%.
Let the length be x and Breadth be y
By the given condition, we can write
x = 2y ------(I)
Perimeter = 2(x + y)
= 2(2y + y)
= 4y + 2y
Perimeter = 6y
Now the length is decreased by 10%,
then the new length will be
= x - 10x/100
= 9x/10
as x = 2y
length = 18y/10.
The breadth is increased by 10%.
then the new breadth will be
= y + 10y/100
breadth = 11y/10
New Perimeter = 2( 18y/10 + 11y/10)
= 2(19y/10)
= 19y/5
The total change in perimeter = (Old Perimeter - New perimeter)
= 6y - 19y/5
= 11y/5
Percentage change = [tex]\frac{\frac{11y}{5} }{6y}[/tex] * 100
= 11/30 * 100
= 36.66%
Hence, the percentage change in its perimeter would be 36.66%.
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A coffee shop sells various types of hot beverages. For one particular drink, the store owners are trying to determine the price that will result in the best sales. The revenue, cost, and profit functions for this drink, based on price, are represented on the graph. Using the graph, which price should result in the maximum profit for the sales of this drink?
A graph shows the Price per Drink in dollars on the x-axis and the Total in dollars on the y-axis. A parabola R of x vertex at (3.5, 2,800) intercepts the x-axis. Another parabola P of x vertex at (4, 1,600) and C of x intersect both parabolas
A.
$2.85
B.
$3.60
C.
$4.00
D.
$5.80
Answer:
C. $4.00
Step-by-step explanation:
Profit, which is given by [tex]P(x)[/tex], is maximized when the price per drink is $4.00, as shown on the graph.
What is the value of X
Answer:
x = 22/5; m∠TKW=m∠XHK = 15.2°
Step-by-step explanation:
Angles TKW and XHK are corresponding angles (as they lie on the same side of the traversal and on the bottom left side of their respective lines) and are thus congruent and equal.
By setting the two equations equal to each other, we can find the value.
After this, we can plug in x for any one of the equations and find the measure of both angles:
[tex]8x-20=3x+2\\8x=3x+22\\5x=22\\x=\frac{22}{5} \\\\TKW=8(\frac{22}{5})-20\\ TKW=\frac{176}{5}-20\\ TKW=\frac{76}{5}=15.2\\ TKW=XHK[/tex]
If me and my brother pay for groceries and the total was 443 and I pay 243 and he pays 200 but we get paid back 75 each how much should I get paid
A cylindrical rod of steel (e = 207 gpa) having a yield strength of 310 mpa is to be subjected to a load of 11,100 n. If the length of the rod is 500 mm, what must be the diameter to allow an elongation of 0. 38 mm?.
the diameter to allow an elongation of 0. 38 mm therefore required diameter is 7.65 mm
Given the data in the question;
F = 11100 N
l₀ = 310 mm = 0.31 m
E = 207 GPa = 207 × 10⁹ N/m²
Δl = 0.38 mm = 0.0005 m
So, lets assume the deformation is elastic;
d₀ = √( [4l₀F] / [πEΔl] )
we substitute
d₀ = √( [4 × 0.38 × 11100] / [π × (207 × 10⁹) × 0.0005]] )
d₀ = √( 10123.2 / 172787595.947 )
d₀ = √( 5.85875 × 10⁻⁵ )
d₀ = 0.007654 m
d₀ = ( 0.007654 × 1000 )mm
d₀ = 7.65 mm
Therefore, required diameter is 7.65 mm
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In the figure below, points D, B, E, F, and lie in plane X.
Points A and C do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
The blanks are filled as below
(b) G and E are distinct points that are collinear.(c) F, D, B, and G are distinct points that are coplanar.(d) Suppose line AD is drawn on the figure. Then AD and AC are distinct lines that intersect.What are collinear points?Collinear points are those that are situated along a single straight line.
Collinear points are those that are on a line either close to or far from another point, it can be more than two points.
While coplanar points imply lying on the same plane
In the diagram,
E, F, and G are collinear points
D, B, E, F, and G are coplanar points
A, B, and C are another collinear points
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when comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way anova f test because the non-pooled t statistic does not require the assumption that the populations have equal .
When comparing the means of two populations, it is often preferable to use a two-sample t test, rather than a one-way ANOVA f test because the non-pooled t statistic does not require the assumption that the populations have equal Variances.
What are the assumption of non-pooled t statistics are following:The observations should be independent and randomly selected.The parent population from which observations are taken is normally distributed.The observations should be continuous.In non-pooled t statistic, the population variances need not to be equal.The assumptions of one-way ANOVA F test are following:The observations should be independent and randomly selected.The population from which observations are taken is normally distributed.The observations are continuous in nature.The variances of population are equal.To know more about Statistics here: https://brainly.com/question/218301
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The wholesale price for a desk is $137 . A certain furniture store marks up the wholesale price by 16% . Find the price of the desk in the furniture store.
The marked-up price of the desk in the furniture store is $158.92.
What is the markup?The markup is the difference added to the cost of a product or service.
The markup represents the seller's profit on the cost.
The markup differs from the margin, which is the ratio of the seller's profit to the sales price.
The wholesale price of a desk = $137
Markup rate = 16%
Marked-up price = $158.92 ($137 x 1.16)
Thus, the desk is sold at the marked-up price of $158.92.
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The Algebra 3-4 PLC had to write new unit tests for the
district. Mr. Bihn took eight hours to write one new test.
Mrs. Inscoe took five hours to write one new test. How
long would it have taken them had they worked
together?
They both Bihn and Inscoe can do same work in 3(1/13) hours.
How to solve work time problems?
Time and work problems is very easy to solve.First take the LCM of given days.It gives the total part of work.Next calculate efficiency of given persons by using the formula.Efficiency = (work)/(time)
Bihn can write one test = Eight hours
Bihn's one hour work = 1/8
Inscoe can write one test = Five hours
Inscoe's one hour work = 1/5
Bihn and Inscoe 's one hour work = 1/8 + 1/5
= (5 + 8)/40
= 13/40
Both Bihn and Inscoe can do same work in 40/13
= 3(1/13) [13 * 3 + 1]
Hence, they both Bihn and Inscoe can do same work in 3(1/13) hours.
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The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. Tell whether the dilation is an enlargement or reduction. Then find the scale factor of the dilation.
Clearly, it is a reduction with scale factor 2
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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The pink figure is a dilation image of the black figure. The labeled point is the center of dilation. The dilation is a reduction with scale factor 2.
In mathematics, what is dilation?In mathematics, dilation means Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation. An image that retains the original shape is created by this alteration. The size of the form does differ, though.
The rightmost line of the black figure has 8 units and pink has 4 units similarly the first horizontal link of black has 4 while pink has 2 units. By labeling the sides of both figures and finding the ratio of the sides of the black figure to the pink figure is 2 so it is deduced that the scale factor is 2 and its reduction as black figure is an enlargement of pink.
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Can anybody help me with this?
The Height of trees are equal after 4 years and the height is 54 inches.
What is linear equation?A linear equation is a equation which draws straight line on the plot
when plotted.
Given,
Height of tree A at the time of planting = 38 inches
Height of tree B at the time of planting = 22 inches
Each year tree A grow = 4 inches
Each year tree B grow = 8 inches
Let's make an equation for the height of the trees,
H = 38 +4t
H = 22+8t
Now the time when height of both the trees will equal
38 + 4t = 22 + 8t
4t = 16
t = 4
Hence , After 4 years the height of both the trees will equal and the height of both the trees after 4 years will be 54 inches.
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REASONING 11. Can the value of o*g_{2}(- 4) * befounc ? What about the value of log ? Why or why not ? What does this tell you about the domain of log ?
21
Select the correct answer.
Jordan used a compass with its width set equal to the radius of a circle to partition the circle as shown.
What construction(s) can Jordan complete by using a straightedge to draw chords with endpoints where an arc intersected the circle?
OA. only a regular hexagon inscribed in a circle
OB. only a regular hexagon or an equilateral triangle inscribed in a circle
OC. only a regular hexagon or a square inscribed in a circle
OD. a regular hexagon, an equilateral triangle, or a square inscribed in a circle
4
Reset
Next
A polygon is a plane shape with straight sides, where the number of sides determine it nomenclature. The required answer to the question is option A.
Polygons are shapes which has straight sides. The number of sides of a polygon determines the name of the polygon. Some examples of polygons are; trigon (3 sides), pentagon (5 sides), Hexagon (6 sides), octagon (8 sides), etc.
Thus an hexagon is a plane shape which has six straight sides.
When a circle is partitioned using its radius, it would divide the circumference of the circle into six partitions. Thus joining the endpoints of intersection on the circumference of the circle will only produce an hexagon.
Therefore, only a regular hexagon inscribed in a circle can be constructed joining the endpoints. The required answer is option A.
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Given the explicit formula for an arithmetic sequence find the first five terms and the
52nd term:
an = -5n-22
Answer:
a₁ = -27
a₂ = -32
a₃ = -37
a₄ = -42
a₅ = -47
a₅₂ = -282
Step-by-step explanation:
An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.
Given explicit formula:
[tex]a_n=-5n-22[/tex]
To find the first 5 terms, substitute n = 1 through 5 into the given formula:
[tex]\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}[/tex]
[tex]\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}[/tex]
To find the 52nd term, substitute n = 52 into the given formula:
[tex]\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}[/tex]
An artit make a cale drawing of a parallelogram-haped culpture. The cale i 10cm on the drawing for every 8 m on the culpture. If the actual culpture ha a bae of 6 m and height of 4. 2 m, what i the area of the cale drawing? Show your work. Area = bae x height
The area of scale drawing, based on the scale of drawing and specifications of sculpture is 0.315 m².
The scale drawing is -
10 cm for 8 m
As 100 cm = 1 m
So, the ratio for scale is 0.1 m for 8 m
Calculating the area -
Area = 6 × 4.2
Performing multiplication on Right Hand Side
Area = 25.2 m²
As 8 m sculpture is 0.1 m on drawing
So, 25.2 m² sculpture will be (25.2 × 0.1)/8
Performing multiplication and division on Right Hand Side
Area of scale drawing = 0.315 m²
Hence, the area of scale drawing is 0.315 m².
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find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation [tex]\frac{y^2}{a^2} +\frac{x^2}{b^2} =1[/tex] where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
[tex]\frac{y^2}{3^2} +\frac{x^2}{2^2} =1[/tex]
After simplifying
4y² + 9x² = 36
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Segment BD bisects angle ABC measure angle ABC equals 7x. The measure angle ABD equals 3x+25. Find the measurement of angle DBC
The measurement of angle DBC is 100°. It can be obtained by the properties of bisector of an angle and algebriac multiplication.
What is angle bisector?
An angle bisector is the ray or line segment that divides the angle into two equal parts.
Since the segment BD bisects angle ABC hence,
∠ABC = ∠ABD+∠DBC ..... (1)
Also, since segment BD bisects angle ABC hence,
∠ABD = ∠DBC
Use this fact in equation (1)
∠ABC = ∠ABD+∠ABD
∠ABC =2 ∠ABD
Now, substitute values and use algebriac multiplication.
7x = 2(3x+25)
7x = 6x+50
7x - 6x= 50
x=50
Now, substitute the value of x in the expression of ∠ABD.
∠ABD = 3x+25
∠ABD = 3(50)+25
∠ABD = 100
Now, since ∠ABD = ∠DBC hence, ∠DBC = 100.
Hence, the measurement of angle DBC is 100°.
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A 17 1/2 inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour?
The rate the candle burn down is 7 / 4 inches per hour.
How to find the rate the candle is burning?The [tex]17\frac{1}{2}[/tex] inches candle burns down in 10 hours. The rate the candle burn down in inches per hour can be calculated as follows:
In math, a rate is a ratio that compares two different quantities which have different units.
Hence,
rate = length of the candle / time
length of the candle = 35 /2 inches
time = 10 hours
rate = 35 / 2 ÷ 10
rate = 35 / 2 × 1 /10
rate = 35 / 20
rate = 7 / 4 inches per hour
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AC and BD are diagonals of quadrilateral ABCD. Is quadrilateral ABCD a parallelogram? Explain.
well, let's take a looksie at the picture
ahemm, the blue lines or diagonals, have sides of either 6+6 or 4+4, they make up four triangles each one with a side of 4, a side of 6 and another side that's pretty much the same on all triangles.
what the heck all that means?
well, it means, the sides AB=BC=CD=DA, and it also means the diagonals are bisecting each other, namely cutting each other in two equal halves, wait a second!!!!! equal sides, bisecting diagonals!! that's a RHOMBUS baby! and yes, a rhombus is a parallelogram.
Solve the absolute value equation.
|4x| + 1 = 25
=====================================================
Work Shown:
|4x| + 1 = 25
|4x| = 25-1
|4x| = 24
4x = 24 or 4x = -24
x = 24/4 or x = -24/4
x = 6 or x = -6
------------------
Check:
Let's plug x = 6 into the original equation and simplify both sides.
|4x| + 1 = 25
|4*6| + 1 = 25
|24| + 1 = 25
24 + 1 = 25
25 = 25
This confirms x = 6 is a solution.
The steps for x = -6 will be very similar.
find the value of x,y and z
Answer: Z=80
Step-by-step explanation:
Which ordered pair makes the equation equal?
y = x - 2
Select one:
A.
(7, 9)
B.
(5, 3)
C.
(7, 14)
D.
(5, 7)
Answer:
B: (5,3)
Step-by-step explanation:
We just fill in the coordinates
A: (7,9)
9=7-2
9=5
not true
B: (5,3)
3=5-2
3=3
true
C: (7,14)
14=7-2
14=5
not true
D: (5,7)
7=5-2
7=3
not true
so b is the only correct answer
hopes this helps please mark brainliest
-5x - Зу = 9
4x 18y = 54
can someone help out by using the substitution method?
By using substitution method, x = 0, and y = -3 are the solutions of the given system of equations.
What is substitution method?
In order to solve a system of equations, the substitution approach is typically utilized in mathematics. The first equation involving the variable must be solved using this method before the variable's value is substituted in the second equation.
Consider the given system of equations
-5x - 3y = 9 ..(1)
4x - 18y = 54 ..(2)
From equation (1),
-5x = 9 + 3y
[tex]x =- \frac{9+3y}{5}[/tex] ..(3)
Plug the value of x in equation (2),
[tex]4(-\frac{9+3y}{5})- 18y = 54\\-36-12y-90y = 270\\ -36 - 102y=270\\102y = -36-270\\102y=-306\\y = -3[/tex]
Plug y = -3 in equation (3)
[tex]x = -\frac{9+3(-3)}{5} =-\frac{9-9}{5} =0[/tex]
x = 0
Hence, by substitution method x = 0 and y = -3.
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A plane is flying through the sky at a constant speed. The thrust of the aeroplane (making it go forwards) is 100n. Air resistance is also acting on the plane. What must the resultant (overall) force be on the plane?.
As for the constant speed, the resultant force on the plane is 0N.
Constant:
Constant refers the specific number or a symbol that is assigned a fixed value.
Given,
A plane is flying through the sky at a constant speed. The thrust of the aeroplane (making it go forwards) is 100n. Air resistance is also acting on the plane.
Here we need to find the resultant (overall) force be on the plane.
As we know that, The plane is moving at constant speed.
According to the Newton's 1st law, the net external force on plane must be zero. Because of the thrust produced by propeller and the air resistance are equal and are in opposite directions to produce zero net force.
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5 divided by 19 vvchgdvbdvvvdbbxbvxvvdhhsjjshhhdbhshhhdhhshshhshdggdhshgdgfduhf
Which set of ordered pairs represents a function?
The set of ordered pairs which represents a function as required in the task content is; { (-2, 0), (-5, -5), (-1, 3), (2, 0) }.
Which set of ordered pairs represents a function?It follows from the task content that the set of ordered pairs which represents a function is to be identified among the answer choices.
It is noteworthy to know that a function is a special kind of relation in which case each input value is assigned only one output value.
Put simply, no one input value has more than one output value assigned to it.
On this note, the answer choice which correctly represents a function among the answer choices is; { (-2, 0), (-5, -5), (-1, 3), (2, 0) }.
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Based on the 2017 season, the Houston Astros have a winning percentage of. 623. Use the binomial model to find the probability that the Astros will when 4 of their next 6 games
The probability that the Astros will win 4 of their next 6 games is 32.1%
Probability:
In math, probability refers the possible number of occurrence of the particular event.
Given,
Based on the 2017 season, the Houston Astros have a winning percentage of. 623.
Here we need to use the binomial model to find the probability that the Astros will win 4 of their next 6 games.
While we looking into the given question,
The winning percentage of Houston Astros 623.
Total number of games = 6
Here let us consider 50% as the winning percentage of all, then the based on the Astro, then probability of win 4 of their next 6 games is 32.1%.
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When is the inequality true?
-2x^2+3x-1≤2x+1
options:
sometimes
always
never
for only one x value
The inequality:
-2x^2+3x-1≤2x+1
Is true always, because the quadratic is never positive.
When is the inequality true?
We have the inequality:
-2x^2 + 3x - 1 ≤ 2x + 1
Let's move all the terms to the left side:
-2x^2 + 3x - 1 - 2x - 1 ≤ 0
-2x^2 + x - 2 ≤ 0
Notice that, for example if we wanted to use x = 0, then we can see that the inequality:
-2*0^2 + 0 - 2 ≤ 0
-2 ≤ 0
So it is true.
And there is no value of x such that the inequality becomes positive, so the inequality si true for all values of x.
The correct option is always.
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Find the length of the segment connecting (-4, 3) and (-5,2). Provide
an answer accurate to the nearest tenth.
The length of the segment connecting (-4, 3) and (-5,2) is 1.4.
How to find length of segment?The length of a line segment can be measured by measuring the distance between its two endpoints.
Therefore, the length of the segment connecting (-4, 3) and (-5,2) can be found as follows:
length of the segment = √(2 - 3)² + (-5 + 4)²
length of the segment = √(-1)² + (-1)²
length of the segment = √1 + 1
length of the segment = √2
length of the segment = 1.41421356237
length of the segment = 1.4
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If f (a) = b, then which of these points is on the graph of f(x)?
A) (a, b)
B) (a, f(b))
C) (b, a)
D) (f (a), f(b))
If f (a) = b, then the point that is on the graph of f(x) is; (a, b)
How to interpret the range and domain of a function?The domain of a function is defined as the set of all possible input values that makes the function possible. Meanwhile, the range of a function is the set of all possible output values that makes the function possible.
Now, we are given that f(a) = b.
Usually when denoting the value of the input of a function, we can say for example that f(x) = y which means that at the input value of x, the output of the function is y and as such, (x, y) is a coordinate of the function or graph.
Thus, in our question, we can say that (a, b) is a coordinate of the graph f(a) = b
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WILL MARK AS BRAINLIEST
Match each solid cone to its surface area. Answers are rounded to the nearest square unit.
options are:
996 square units
829 square units
628 square units
525 square units
444 square units
758 square units
Answer:
1. 628 square units
2. 758 square units
3. 996 square units
4. 525 square units
Step-by-step explanation:
