The perimeter of a rectangular piece of land is 280m. People divide the land into two small pieces: a square, a rectangle. The total perimeter of the two small plots is 390m. Calculate the area of ​​the original piece of land.

Answers

Answer 1

Step-by-step explanation:

Length of the Rectangular piece of the land = 12 + 1/2 m = 25/2 m

Breadth of the Rectangular piece of the land = 5 + 1/5 m = 26/5 m

If 4 small square flower bed of side length 1 m are made at center.

To find: Area of the rectangular land , Perimeter of the rectangle and Area of land left when flower bed are mad.

Perimeter of the rectangle = 2 × ( length + breadth )

= 2 × ( 25/2 + 26/5 )

= 2 × ( 177/10 )

= 177/5 m

= 35.4 m

Area of the rectangular land = Length × Breadth

= 25/2 × 26/5

= 5 × 13

= 65 m²

Area of a flower bed = side × side = 1 × 1 = 1 m²

Area of 4 flower bed= 4 × 1 = 4 m²

Area left in the land = 65 - 4 = 61 m²

Therefore, Perimeter of the land is 35.4 m

Area of land is 65 m²

Area of the land left after flower beds is 61 m²


Related Questions

During an 8 hour work-day, Bob spends 2
hours on the phone. What fraction of the day
does he spend on the phone?
A. 1/5
B. 1/3
C. 1/4
D. 1/8

Answers

The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].

Write a fraction from the given information;

2/8, then simplify, by diving both the numerator and denominator by 2.

Therefore,

C) 1/4

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision

Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?

Answers

Using the z-distribution, we have that:

a)

The hypothesis test is:

[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]

The p-value is of 0.0668.

The critical value is [tex]z^{\ast} = -1.28[/tex]

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

describes one way in which the environment's physical characteristics affected colonial economic activities?

Answers

Answer:

Existence of rivers is used as water sources method of distribution

 Existence of resources for material.

Step-by-step explanation:

Hope it helps. Sorry if it's wrong.

LOKK AT THE PICTURE PLEASE

Answers

Answer:

A. 9

Step-by-step explanation:

Multiply 3x with x+2

3x(x+2)

Which is 3x^2+6x

Now substitute x with 1

1^2 is 1

3 times 1 is 3

6 times 1 is 6

3+6 is 9

Thus A.

Hope this helps!

Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
Number: (10,7) and (1,2)
Drags And Drops:5/9, -7/8, 2/7, 6/7, 5/7

Answers

Answer:

5/9.

Step-by-step explanation:

The slope is the difference in y-values  divided by corresponding difference in x-values.

So here:

Slope = (7-2)/(10-1)

= 5/9.

Pls help right answer gets brainliest

Answers

Answer:

x=3/2

Step-by-step explanation:

      .D                         .I

          9x                           7x+3

.C           .E             .H             .J

7x+3=9x

-7x     -7x

-------------

3=2x

--  --

2  2

x=3/2

Check

9(3/2)=13.5

7(3/2)+3=13.5

Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?

Answers

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Someone please help meh

Answers

Answer:

1100

Step-by-step explanation:

Answer:

A = 55.15

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj side / hypotenuse

cos A = 4/7

Taking the inverse cos of each side

cos ^-1 ( cos A) = cos ^-1( 4/7)

A =55.15009542

To the nearest hundredth

A = 55.15

Welcome to Gboard clipboard, any text you copy will be saved here.​

Answers

Answer:

yooo i got the new rank im now expert :0

Step-by-step explanation:

XD

A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?

Answers

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944

Put these numbers in order from least to greatest.-12/40 -5 19/38

Answers

this is the answer: -5 < -12/40 < 19/38

Estimate and solve 2,352 ÷ 4 =

Answers

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

SOLVE FOR ASA
-GEOMETRY

Answers

Step-by-step explanation:

Hope It Helps You

Here You Answer

ASA=Angle side angel where the angles are connected to the same side


It is given that kc equals bc and c=c because they are vertical angles so you just need one more angle which is b=k

Option c

Pls explain how to solve it! (Will mark brainylist)

Answers

Answer:

1,1

Step-by-step explanation:

x=1

y=1

if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1

add 30 to both sides to get 35y-4y=31

subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6

7x1 is 7 so then 7-6=1 and that gives us x=1.

Hope this helped

Kindly help out with this question!

Answers

Step-by-step explanation:

33+22+90=145

180-145=35

x=180-35

x=145

You have to add all the angles inside together.
So you do 33+22+90 = 145
Then you do 180-145 which is 35 degrees.
Now you know the angle inside of x is 35. We need to find x.
Because a straight line is 180 degrees, you need to do 180-35 which is 145 degrees.
So x = 145


What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?

Answers

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2


Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?

Answers

Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab

please Help NEED NOW

thank you so much

Answers

Divide the rise by the run

If 12 candy canes cost $318, what will be the cost of 4 candy canes?​

Answers

Answer:

4 candy canes = $ 106

Step-by-step explanation:

Using unitary method to solve this question.

Given that:

12 candy canes = $ 318

Divide both sides by 12

1 candy cane = $318/12

1 candy cane = $26.5

Now, Multiply both sides by 4

4 candy canes = $ 26.5 * 4

4 candy canes = $ 106

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

See the picture first, thank you.

QUESTIONS::

1. Does each graph represent a linear function? Why?

2. What is the domain of the first graph? second graph?

3. What is the range of the first graph? second graph?​

Answers

Answer:

1. yes, both lines are straight

2. domain: (-∞ ∞)

3. range: (-∞ ∞)

A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.

Answers

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.

Answers

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.

The operations performed on the triangle are the following

A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

https://brainly.com/question/17311824

A, who travels 4 miles an hour starts from a certain place 2 hours in advance of B, who travels 5
miles an hour in the same direction. How many hours must B travel to overtake A?

Answers

It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

[tex]\mathbf{speed = \dfrac{distance}{time}}[/tex]

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

as speed (v) rises;time (t) decreases, and distance (d) is constant

From the given relation:

Distance = speed × time

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

Learn more about distance, time and speed here:

https://brainly.com/question/12199398

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.





Which angle is congruent to angle DBA?


A. BCD

B. CBD

C. DBC

D. BDC

Answers

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

The angle that is congruent to ∠DBA is; D. ∠BDC

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

https://brainly.com/question/4738741

y=6x-17 -12x+2y = -34 ??

Answers

Carry learning!

Stay safe!

Study hard!

If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree

Answers

Answer:

almost 9

Step-by-step explanation:

how old are you android phone is not

Answers

Answer:

I am 14 years old

Step-by-step explanation:

I don’t have a android

Please help me:( The volume of the above solid is
O A. 208.87 cm3
O B. 216T1 cm2
O C. 1807 cm3
O D. 2161 cm3

Answers

Answer:

the volume of cylinder = πr²h

h = 5cm

r = 6cm

volume = π × 6² × 5

= π × 6 × 6 × 5

= 180πcm³

Plz help with this question.

Answers

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

hope it helps you

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Point slope form question

How would I turn (2,-5) (-3, 10) into a point slope equation?

Answers

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

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