the area of rectangular garden is 27000m2.if the ratio of length and beradth is 10:3 findits perimeter
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
Learn more about the perimeter of a rectangle here:
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I need help and can u please show your work please and thank u
Answer:
Ur mom lol she gave birth to a kid who knows nothin
Step-by-step explanation:
If 1000 feet of fencing material was given to Ashley to enclose a dog yard, what dimensions will maximize the area of the dog yard?
Answer:
250 feet by 250 feet
Step-by-step explanation:
The largest area that can be closed is a square, so divide 1000 by 2 to determine the length and width of the yard. Length is 250 feet, and width is 250 feet.
Hopefully this helps - let me know if you have any questions!
Which is the graph of y = ⌊x⌋ – 2
Answer:
C
Step-by-step explanation:
The answer you selected is correct
The y-intercept should be (0, -2)
The slope should be 1
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answer:
2 x 36 = 72
6 x 12 = 72
Step-by-step explanation:
Other 2 are not 72.
Answer:
8x8 i think im right though
Which describes the correct way to convert minutes to hours? Divide the number of minutes by 24 Multiply the number of minutes by 24 Divide the number of minutes by 60 Multiply the number of minutes by 60 Mark this and return Save and Exit Next Sube
Answer:
divide the number of minutes to hours
Answer:
Its c which is divide the number by 60
Step-by-step explanation:
I did the quiz and got it right
Which expressions represent the length of side HT?
Choose 2 answers:
А
8.3.sin(90° - 75)
B
8.3-cos(90° - 75")
8. tan(90° - 75")
tan 90
75
Answer:
A and C
Step-by-step explanation:
Solve for X -3x + 6 = -21
Answer:
x=9
Step-by-step explanation:
subtract the 6 on both sides: -3x+6=-21
-6. -6
divide -3 on both sides: -3x=-27
÷-3. ÷-3
after dividing u get x alone and and the answer which is: x=9
Explain whether the following graph represents a function. Why or why not?
A- yes each x-value has a unique y-value
b- yes each x-value has a y-value that is not negative
c- no there is no negative y-values
d- no the graph is not liner
Answer:
no x values repeat, so yes it is a function
Step-by-step explanation:
A plane travels at a constant speed. It take 5 hours to travel 6,250 miles. What is the plane's speed in miles per hour?
Answer:
1,250 miles/hour
Step-by-step explanation:
To find miles per hour - [tex]\frac{6250 miles}{5 hours}[/tex].
A fruit canned processing factory produces 7 types of products. How many ways to schedule production in 1 week with 7 products above if the factory produces only 1 product per day? If the factors overtime to produce 2 types of products each day how many ways will the be schedules for the first day of the week?
What is the value of 6/7 + 8/21
Answer is 26/21
Or 1 5/21
(7x^2-2) - (2x^2 - 5x + 3)
(7x^2-2) - (2x^2 - 5x + 3)
Answer:
5(x^2+x-1)
4.
3. Consider the line
2x + 5y = -10. What is the
slope of the line parallel to this line?
Answer:
The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes and different y-intercepts
To find the slope of the line from the equation of the line, then put the equation in the form y = m x + b, where
m is the slopeb is the y-interceptLet us solve the question
∵ The equation of a line is 2x + 5y = -10
→ Put the equation in the form above
→ Subtract x from both sides to move 2x from the left side to the
right side
∴ 2x - 2x + 5y = -10 - 2x
∴ 5y = -10x - 2x
→ Make the coefficient of y equal 1 by dividing all terms by 5
∵ [tex]\frac{5y}{5}=-\frac{10}{5}-\frac{2x}{5}[/tex]
∴ y = -2 - [tex]\frac{2}{5}x[/tex]
→ Compare it by the form of the equation above
∴ m = [tex]-\frac{2}{5}[/tex]
∴ The slope of the given line is [tex]-\frac{2}{5}[/tex]
→ We need the slope of the line which is parallel to the given line
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the line 2x + 5y = -10 is [tex]-\frac{2}{5}[/tex]
a mathematical equation to define a relation whose second component y is 5 less than the first component x .
Sarah had a pizza party at her house. Her friend Kate ate 1.8 of the pizza how much of the pizza was left?
Answer:
8.2, (I think... probably)
Step-by-step explanation:
At a dog shelter, a 28-pound bag of dog food will feed 42 dogs. How many dogs would you expect to feed with a 14-pound bag of dog food?
Answer:
21 dogs
Step-by-step explanation:
The Smith family went to dinner at a restaurant and had a total bill of $120. If they left a tip of $21.60, what percent of the total bill did they leave?
find the square root of √25.65 and correct upto 2 decimal places
5.06
√25.65 = 5.06458...
so, to round it off to 2.d.p, you just count up to two numbers after the decimal point, these number would be 0 and 6. 6 can not be rounded off because the 4 after it is not bigger than 5.
A grocery store sells a bag of 7 oranges for $1.75. What is the cost of oranges, in dollars per orange
Jose has four different kinds of thistle in his pasture.he estimates that of these thistle 1/2 are Canada thistle, 1/4 are bull thistles, 1/6 are plumeless thistles and the rest are musk thistles what fraction of the thistles are musk thistles
Answer:
1/12
Step-by-step explanation:
1-(1/2)-(1/4)-(1/6)=1/12
Answer:
1/12
Step-by-step explanation:
½ + ¼ +⅙
6/12 + 3/12 + 2/12 = 11/12
1 - 11/12 = 1/12
Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate change. The speed of sound depends on the temperature, salinity, and depth below the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second. For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second. Use D for depth (in kilometers) and S for the speed of sound (in meters per second), and find a linear formula for S as a function of D.
Answer:
A linear formula for S as a function of D is S=17D+1534
Step-by-step explanation:
We are supposed to find a linear formula for S as a function of D.
Equation of line : y = mx+c
We are given that At the surface, the speed of sound is 1534 meters per second.
c = 1534
We are given that for each increase in depth by 1 km, the speed increases by 17 m/s
So, Slope = m = 17
Substitute the values in equation
y=17x+1534
x denotes depth
y denotes speed
We are given that Use D for depth and S for the speed of sound
So, S=17D+1534
Hence a linear formula for S as a function of D is S=17D+1534
Which model can be used to show the sum of one and two fifths plus one and two fifths
A number line from zero to four partitioned into fifths. There is one hop of one and two hops of one fifth from one and two fifths to two and four fifths.
A number line from zero to four partitioned into fifths. There are two hops of one and one hop of one fifth from one and one fifth to three and two fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.
A, a number line from zero to four partitioned into fifths. There is one hop of one and two hops of one-fifth from one and two-fifths to two and four-fifths :)
Answer: it’s A. I think
Step-by-step explanation: I hope this helps!
add= 38.42 and 7.1
please
Answer:
45.52
Step-by-step explanation:
38.42 + 7 is 45.42, and 45.42 + 0.1 is 45.52
Answer:
Let's look at the whole numbers first and put aside the decimals;
38 and 7, let's add these two: 38 + 7 = 45
Now let's look at the decimals;
0.42 and 0.10, let's add these two:
0 . 4 2 0 . 1 0+ _______
0. 52 → Next, we add the decimals and the whole numbers:45 + 0.52
= 45.52, 45.52 is your answer.Help!
What is the answer to this Question?
Answer:
Vertical
Step-by-step explanation:
It's actually supposed to be supplementary, but since there is none, I mostly think it's vertical.
How to find range on a line graph ?
The range is the smallest number minus the largest number on a number line. Hope that helped!
What fraction is not equivalent to 1/5
Answer:
1/4
Step-by-step explanation:
Answer:
2/5 I'm so confused rn but okay
(0.2)^3
A. 0.04
B. 3.2
C. 0.008
D. 0.6
Step-by-step explanation:
The exponent of a number describes how many times to multiply the number by itself.
[tex](0.2)^3=0.2 \times 0.2\times 0.2[/tex]
Multiply;
[tex]0.2 \times 0.2 \times 0.2[/tex]
[tex]0.04 \times 0.2[/tex]
[tex]0.008[/tex]
[tex]\boxed{C. \: 0.008 \: is \: the \: correct \: option.}[/tex]
1. Change 0.2 into fraction form.
[tex]0.2 = \frac{2}{10}[/tex]
2. Simplify (2/10)³.
[tex](\frac{2}{10})^{3}[/tex]
⇒ [tex](\frac{2}{10})(\frac{2}{10})(\frac{2}{10})[/tex]
⇒ [tex]\frac{8}{1000}[/tex]
3. Change 8/1000 into decimal form.
[tex]\frac{8}{1000} = \frac{0.8}{100} = \frac{0.08}{10} = \frac{0.008}{1} = 0.008[/tex]
Thus, Option C is correct.
A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of the red and blue coloring will the factory need in the 50-gallon batch of purple paint?
Answer:
1200 drops of red and 800 drops of blue.
Step-by-step explanation:
3*50=150 150*8=1200
2*50=100 100*8=800
Multiply by eight because there are 8 pints in a gallon.
A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particular sample, the statistician must check the configuration of the machine. The distribution of metal thickness has mean 23.5 millimeters (mm) and standard deviation 1.4 mm. Based on the two-standard deviations rule for outliers, which is the greatest thickness that would require the statistician to check the configuration of the machine?
Answer: 26.3 mm
Step-by-step explanation:
According to the two-standard deviations rule for outliers, the values that does not lie within 2 standard deviations from mean are outliers.
If Mean = 23.5 millimeters (mm) and standard deviation = 1.4 mm
Then, greatest thickness need to check = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
hence, the greatest thickness that would require the statistician to check the configuration of the machine = 26.3 mm.