Given :
The area of rectangular garden is 27000m² .The ratio of length and breadth is 10 : 3 .⠀
To Find :
The perimeter of the rectangular garden.⠀
Solution :
Let us assume the length as 10x m and breadth as 3x m .
⠀
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{ Length \times Breadth = Area_{(rectangle)}}} }[/tex]
⠀
Now, substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf{ 10x \times 3x = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ 30 {x}^{2} = 27000 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = \dfrac{27000}{30} }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}^{2} = 900 }}} [/tex]
[tex]{ \longrightarrow{\quad \sf{ {x}= \sqrt{900} }}} [/tex]
[tex]{ \longrightarrow{\quad \bf{ {x}= 30 }}} [/tex]
⠀
Therefore,
Length = 10x m = 10(30) m = 300 mBreadth = 3x m = 3(30) m = 90 m⠀
Now,
We know that,
[tex]{ \longrightarrow{\quad \sf \pmb{Perimeter_{(rectangle)}=2(Length + Breadth) }} }[/tex]
⠀
Substituting the values in the formula :
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(300 + 90) }} }[/tex]
[tex]{ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(390) }} }[/tex]
[tex]{ \longrightarrow{\quad \bf \pmb {Perimeter_{(rectangle)}=780 }} }[/tex]
⠀
Therefore,
The perimeter of the rectangular garden is 780 m .The perimeter of the rectangle whose area is 27000 m² is 780 m.
What is the perimeter of a rectangle?The perimeter of a rectangle is the determinating of all the sides of the rectangle. In the given question, we have the following parameters:
Given that:
The area of the rectangle = 27000 m²The ratio of the length and the breadth is 10: 3It implies that, if the length is 10x, the breadth is 3x
The area of a rectangle = length × breath
27000 m² = (10x) × (3x)
27000 m² = 30x²
x² = 27000/30
x² = 900
x = √900
x = 30
Now, we can say that:
The length = 10(30) = 300The breath = 3(30) = 90The perimeter of the rectangle = 2(length + breadth)
The perimeter of the rectangle = 2(300 + 90)
The perimeter of the rectangle = 780 m
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how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7
Answer:
sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)
Step-by-step explanation:
(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)
Answer:
300 dollars
Step-by-step explanation:
$1.8=£1/x dollars=£200
cross multiplying
x=200×1.8
x=$360
Answer:
218.26
Step-by-step explanation:
1 [tex]\frac{913}{10000}[/tex] USD = 1 EURO.
I calculated it on E to USD calculator.
A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?
Answer:
✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️
Which number line best shows the position of 17?
0
十
J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4
十
7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4
Answer:
C
Step-by-step explanation:
The square root should be about half of that number so half of 7 is 3.5.
what is the value of 27-2m, when m=3
Answer:
21
Step-by-step explanation:
27 - 2m = 27 - (2 x 3) then 27 - 6 is 21, so your answer should be 21.
A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?
Divide rulers by rooms:
672/21 = 32
Each room gets 32 rulers
Answer:
32 rulers per classroom
Step-by-step explanation:
672rulers ÷ 21 classroom
=32 rulers per classroom
3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*
Hey there!
--› Initial deposit: 1600
--› rate = 3.75%
a) First, convert R as a percent to r as a decimal
r = R/100
r = 3.75/100
r = 0.0375 rate per year,
Substitute into formula
= A = P(1 + r/n)nt
A = P(1 + 0.0375/4)^4t
A = 1,600.00(1 + 0.009375)^4t
b)
A = 1,600.00(1 + 0.009375)^4t
A = 1,600.00(1 + 0.009375)^4(5)
A = 1,600.00(1 + 0.009375)^(20)
A = $1,928.28
The amount of money that will be present in the account in 5 years is P(5) = $1923.36
Exponential equationsThe standard exponential equations is expressed as:
p(t) = p0(1+r)^t
where:
Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 yearsSubstitute
P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t
Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t
If t =5 years
P(t) = 1600 (1.0375)^t
P(t) = 1600 (1.0375)^5
P(5) = $1923.36
Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36
learn more on compound interest here: https://brainly.com/question/24924853
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circumference of a clock with the radius of 16 centimeters?
Answer:
100.5309649cm
Step-by-step explanation:
The formula for the circumference of a circle is:
2πr
if the radius is 16cm, we just need to substitute 16 for r:
2π(16)
= 32π
= 100.5309649cm
You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)
what are the equivalent fractions of 4/7 and 3/5
Answer:
3/5= 6/10, 9/15, 12/20, 15/25, 18/30
4/7
= 8/14, 12/21, 16/28, 20/35, 24/42
Step-by-step explanation:
mark me brainliest!!
Hey there!
Remember, equivalent means equal.
So we need to find some fractions that are equal to 4/7 and 3/5.
We can easily do that.
First, let's take 4/7.
Let's multiply the top & bottom by 2:
8/14
4/7 and 8/14 are equivalent.
Let's multiply the top & bottom by 2:
16/28
We can keep multiplying...
Also, there's no reason why we cannot multiply by 3, 4, 5, 6, 7, 8...
In other words, there are infinitely many fractions equivalent to 4/7.
Same with 3/5:
6/10, 12/20...
Hope everything is clear.
Let me know if you have any questions; if so, please ask.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
Find the slope of the line graphed
Answer:
1. 5/-2
2. 0/1
3. 6/2
Step-by-step explanation:
rise/run when calculating slope
The set of all numbers less than or equal to -1.
Answer:
anything before -1 is lower than -1. -1 = -1
Step-by-step explanation:
-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1
Set B represents the set of all the natural numbers less than or equal to -1
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set is represented by K
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
In Mathematics a set is a collection of objects/elements that are constrained by some particular condition.
Let us consider a situation where "S" is the set and the elements are represented by "x"
A set is always denoted in curly braces. Expression (1) represents the set
[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)
Set S has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]
The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including -1.
So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows
[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]
Set B represents the set of all the natural numbers less than or equal to -1
if we include all the numbers the range of set includes every number from
[tex]\rm -\infty \; to -1[/tex] so the set becomes
[tex]\rm K = \{ -\infty ,.....-1\}[/tex]
For more information please refer to the link below
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4 in
2 in
Hot wewn to see
What are the dimensions of the enlarged rectangle
What are the dimensions of the enlarged rectangle
Answer:
the dimensions are for in plus two in is equal to 6n
Evaluate the integral of
X-1/ (x+1) (x^3 + x^2 + x )^0.5
:)
Writing Linear Equations
Answer:
1. y=-3x+7
2. y=3/4x+10
3. y=-5x-2
4. y=12x-6
5. y=1/2x+9
Step-by-step explanation:
for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.
In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .
I like marshmallows and weird fives eat food
Which is a tangent of circle P?pls helpt ASAP!!!!
Explanation:
Tangent lines touch the circle at exactly one point.
Suppose f(x) is a function such that if p
O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.
The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with taxpayer calls and has redesigned its phone service as well as posting answers to frequently asked questions on its website (The Cincinnati Enquirer, January 7, 2010). According to a report by a taxpayer advocate, callers using the new system can expect to wait on hold for an unreasonably long time of 15 minutes before being able to talk to an IRS employee. Suppose you select a sample of 50 callers after the new phone service has been implemented; the sample results show a mean waiting time of 13 minutes before an IRS employee comes on line. Based upon data from past years, you decide it is reasonable to assume that the standard deviation of waiting times is 11 minutes. Use α=0.05
Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α=0.05, can you conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Answer:
a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
b)p value = 0.1003
c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Step-by-step explanation:
Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]
Sample size is more than 30 . So, we will use Z test
[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]
Use z table to find p value
p value = 0.1003
α=0.05
p value< α
So, we reject null hypothesis
Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Why do you think y= ax+b is called a linear equation
Please help
Answer:
Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.
Step-by-step explanation:
For example, y=7x+9,
When x is 1 y is 16, and
when x is 2 y is 23.
When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.
Step-by-step explanation:
Hey there!
Reason:
The power of the term is one.It can be graphed in a at. line on graph.You can simply define linear equation as the equation which has two variables with 1 exponent.
So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.
Hope it helps..
The radius of a circle is 2 centimeters. What is the circle's area?
Answer:
12.56
Step-by-step explanation:
2x2=4
4×3.14=12.56
area = 12.56
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33. steps plsss
Answer:
17=n<
Step-by-step explanation:
17
Answer:
Step-by-step explanation:
17+ n/5=33
17+33-n/5
N= 50..
50/5
9. Every school day, Lucas bikes to school, 12 miles away at 8 miles per hour. Today, Lucas was thinking about planning his sister’s party in the evening, and, distracted, travelled the first four mile at only 6 miles per hour. At what speed must he travel the last eight miles to reach school in time?
Answer:
Step-by-step explanation:
The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.
Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!
evaluate ghjk if g=-4,h=-2,j=-6,and k =5
Answer:
GHJK=-240
Step-by-step explanation:
G=-4
H=-2
J=-6
K=5
[tex]-4*-2*-6*5=-240[/tex]
GHJK=-240
I think this is how you do it????
Answer:
-240
Step-by-step explanation:
Given;
evaluate ghjk if g=-4,h=-2,j=-6,and k =5
Substitute:
GHJK ⇒ (-4)(-2)(-6)(5)
(-4)(-2)(-6)(5)
(8)(-6)(5)
-48(5)
-240
~Learn with Lenvy~
can i please get some help!!
Answer:
3 cis(43)
Step-by-step explanation:
When we divide number in polar form, we divide the modulus, and subtract the degrees.
36/12=3
45-2=43
3 cis(43)
In a closely contested school bond election, polling indicates that 50% of voters are in favor of the bond. Assume central limit theorem conditions apply. Suppose a random sample of 80 voters is selected
The central limit theorem is used to consider sample sizes of at least 30
The mean of the distribution is 40, and the standard deviation is 4.47
How to determine the meanThe given parameters as:
p =50% --- the proportion
n = 80 --- the sample size
The mean is then calculated as:
[tex]\bar x =np[/tex]
So, we have:
[tex]\bar x =80 * 50\%[/tex]
[tex]\bar x =40[/tex]
How to determine the standard deviationThe standard deviation is calculated as:
[tex]\sigma = \sqrt{np(1 -p)[/tex]
So, we have:
[tex]\sigma = \sqrt{80 *50\% * (1 - 50\%)[/tex]
Evaluate the root
[tex]\sigma = 4.47[/tex]
Hence, the mean of the distribution is 40, and the standard deviation is 4.47
Read more about the central limit theorem at:
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8 rabbits=5.5 squirrels
18 deer=2.25 bear
4 hippos=75 groundhogs
How many hippos are in 65.25 rabbits?
Answer:
he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.
Given the Parameters :
Density of water = 1 kg/m³
Mass of hippo = 2500 kg
Volume = 2.46 m³
The bouyancy Force is defined as, :
Density of hippo =
Substituting values into the relation :
Therefore, the bouyancy Force is 24107.1 N
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Step-by-step explanation:
Select the correct answer.
Which number line shows the solution to this compound inequality?
0<2x + 6 < 16
OA. HE
-10 -8
-6 -4 -2 0 2 4
6
8
10 12 14
B. +++
- 10 -8
-6 -4
-2
0
2
4
6
8
10 12 14
Oc. + +
-10 -8
++
10 12 14
-6 -4 -2
0
2
4
6
8
OD.
httot
-10 -8 -6 -4 -2 0
2
4
6
8
10 12 14
Answer:
C.
Step-by-step explanation:
pa brnlst hehehheeh
thx m ltr
WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
The correct answer would be 9
The value of 8 in 5.18 of the value of 8 in 5.81
Answer:
the value of 8 in the first one is 8
in the second one is 80
Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?