The diagram represents a rectangular garden of length 14 m and width 10 m. The flower bed is a triangle and the vegetable patch is a trapezium. The rest of the garden is lawn. Work out the are of the lawn.

The Diagram Represents A Rectangular Garden Of Length 14 M And Width 10 M. The Flower Bed Is A Triangle

Answers

Answer 1

Answer:

The area of the lawn is 68 [tex]m^{2}[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                             = 14 x 10

                            = 140 [tex]m^{2}[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                          = [tex]\frac{1}{2}[/tex] x 3 x 8

                          = 12 [tex]m^{2}[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex](5 + 7) 10

                               = 60 [tex]m^{2}[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                      = 140 - 72

                      = 68 [tex]m^{2}[/tex]

The area of the lawn is 68 [tex]m^{2}[/tex].


Related Questions

Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.

What is the mean of the sampling distribution of ˆ p A − ˆ p B ?

Answers

Answer:

0.02

Step-by-step explanation:

High schools A :

Percentage of participants in on the school athletic team = 20%

Pa = 20% = 0.2

High school B:

Percentage of participants in on the school athletic team = 18%

Pa = 18% = 0.18

The mean of sampling distributon is :

Pa - Pb

0.2 - 0.18

Hence, Mean of sampling distribution is 0.02

Help me! I need help finishing this before it’s due!

Answers

Answer:

I think F is the right answer

Find the value of x. Your answer must be exact.
х
45° 18

Answers

Answer:

x = 63

Step-by-step explanation:

Simplifying

x + -18 = 45

Reorder the terms:

-18 + x = 45

Solving

-18 + x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + x = 45 + 18

Combine like terms: -18 + 18 = 0

0 + x = 45 + 18

x = 45 + 18

Combine like terms: 45 + 18 = 63

x = 63

Simplifying

x = 63

please help√√√:-) 1111

Answers

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

PLEASE HELP

FIND THE LENGTH OF RS.

Answers

Answer:

A

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

[tex] = \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)[/tex]

Thus, RS is about 8.5 units.

Answer:

I believe its A. 8.5

Step-by-step explanation:

15(2x+2)=10(3x+4) equations with special cases

Answers

Answer:

no solution

Step-by-step explanation:

15(2x+2)=10(3x+4)  Distribute.

30x+30=30x+40     Subtract 30x from both sides.

-30x       -30x

30=40

30 does not equal 40, so there is no solution.

Hope this helps!! Have a great day C:

the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.

Answers

860(1-(8)/(100))^(19) solve that

BRAINLIEST FOR THE CORRECT AWNSER! Algebra 1 What is the solution to the system of equations graphed below?

Answers

Answer:

(-2, 3)

Step-by-step explanation:

The solution to a system of equations is the value (or values) of x and y that satisfy both equations. we can find the value of x by setting the right sides of each of our equations equal to each other and solving:

[tex]4x+11=-2x-1\\6x=-12\\x=-2[/tex]

From here, we can simply substitute -2 for x in either of the equations to calculate y. I'll choose the bottom one:

[tex]y=-2(-2)-1\\y=4-1\\y=3[/tex]

So our solution is (-2, 3).

The awnser is A!! Because the graph describes as so.

Clear x.
5x-5 one
———= ——-
X-2 3

Answers

Answer:

5x-5 = 5(x−1)

X-23 = =x−23

Step-by-step explanation: hope this help

KEVI is an isosceles trapezoid.

If KN 10, NV = x, and IE = 2x+6,

what is the length of KV?

Answers

Answer:

14

Step-by-step explanation:

A trapezoid is a quadrilateral (has four sides and four angles) with a pair of opposite parallel sides. The pair of opposite parallel side is known as the base.

An isosceles trapezoid is a trapezoid with equal legs. The diagonals are also equal and both the upper and lower base angles are congruent.

From the question:

KV = IE = 2x + 6 (diagonals of a trapezoid are congruent)

From line segment addition postulate:

KV = KN + NV

substituting:

2x + 6 = 10 + x

2x + 6 - x = 10

x + 6 = 10

x = 10 - 6

x = 4

KV = 2x + 6

substituting x = 4:

KV = 2(4) + 6

KV = 14


a) Write 5.1 x 10^-1as an ordinary number.

Answers

Answer:

0.51

Step-by-step explanation:

PLEASE HELPPPP QUICK 100 POINTS ASAP PLEASEE
Graph a line representing the proportional relationship with slope 3 containing the point (2,6)

Answers

Answer:

i think you had it on the point

Step-by-step explanation:

Megan and her little sister, Nora, counted their Halloween ca 20 out of the 50 candy pieces were taffy. In Nora's bag, 11 out of the 25 pieces were taffy. Who got the greater ratio of taffy to total candy pieces?

Answers

Answer:

i think megan

Step-by-step explanation:

Answer:

Im pretty sure Nora has a better ratio of candy

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

Over what interval is f(x) negative? Justify your answer.

Answers

Answer in interval notation is  (-3, 1)

This is the same as saying -3 < x < 1

=====================================================

Explanation:

Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.

These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.

Find the possible values for m<1

Answers

Answer:

its the last choice

Step-by-step explanation:

you can't find the exact angle with the given info so option 1 is automatic out, m<1 is also clearly an obtuse angle so it will be larger then 90° so option 2 is out, and like I said before m<1 has to be larger then 90° so its not option 3 leaving only option 4

multiply. (x^2-5x+2)(3x^2+2x+3)

Answers

Answer:

3x^4-13x^3-x^2-11x+6

Step-by-step explanation:

Checked this on a website for you btw!

Answer:

3x^4-13x^3-x^2-11x+6

Step-by-step explanation:

Solve the inequality
- 7x<35
What are the solutions? Select the correct choice below and fill in the answer box to complete your
choice.
A. X > greater or equal to
B. X <
C. X < less than or equal to
D. X >

Answers

Answer:

X>-5

Step-by-step explanation:

Choose a method that can be used to solve this system of equations by elimination.

2x - 2y = 24
4x + 7y = -40

1. Subtract 2x from both equations and solve the first equation for y.

2. Multiply the first equation by -2 and add the second equation.

3. Add the first equation to the second equation and subtract 6x from both sides of the equation.

4. Subtract 7y from the second equation and add the first equation.

Which one of these steps is the correct way of solving by elimination?

Answers

Answer:

2

Step-by-step explanation:

if we multiply the first equation by neg 2, the 4x's cancel out.

The method that should be selected is

2. Multiply the first equation by -2 and add the second equation.

Elimination method:

In the elimination method, we can either add or subtract the equations to get an equation in one variable. At the time When the coefficients of one variable are opposites, so we can add the equations to eliminate a variable and when the coefficients of one variable are equal we can subtract the equations to eliminate a variable.

Learn more about an equation here: https://brainly.com/question/17599700

if w varies jointly as x and y,
and w=10 when x=2 and y=1.
Solve for w when x=4 and y=2​

Answers

Given:

w varies jointly as x and y.

w=10 when x=2 and y=1.

To find:

The value of w when x=4 and y=2​.

Solution:

w varies jointly as x and y.

[tex]w\propto xy[/tex]

[tex]w=kxy[/tex]              ...(i)

Where, k is the constant of proportionality.

w=10 when x=2 and y=1.

[tex]10=k(2)(1)[/tex]

[tex]10=2k[/tex]

[tex]\dfrac{10}{2}=k[/tex]

[tex]5=k[/tex]

The value of k is 5.

Putting k=5 in (i), we get

[tex]w=5xy[/tex]

To find the value of w when x=4 and y=2​. Put x=4 and y=2.

[tex]w=5(4)(2)[/tex]

[tex]w=40[/tex]

Therefore, the value of w is 40 when x=4 and y=2​.

X-y=0 and 5x-2y=6 solve by elimination

Answers

Answer:

(2,2)

Step-by-step explanation:

first take x-y=0 and multiply it by -5 you will then get this

-5x+5y=0

5x-2y=6

add those together

3y=6

divide by 3

y=2

now plug 2 in for y

x-2=0

add 2 to both sides

x=2

Turn this equation into a sentence: 5x - 8 - 7

Answers

Answer:

5 times x minus 8 minus 7

Step-by-step explanation:

whenever you see an x right next to a number, it means that it's being multiplied for that number. For example: 2x mean 2 times x

This symbol - is a minus symbol. So when it's in front of a number, you say "minus" and then the number. For example: 4 - 3 means, Four minus three.

A carpenter cut a 6 1/2 -ft board into
1 1/4-ft sections. What is the number of sections he cut?

Answers

Answer:

5 pieces

Step-by-step explanation:

What kind of angles are 1 and 5 in the picture below?

Answers

Answer:

Step-by-step explanation:

I dont see anything. You need to click link and attach a picture or the image to the question

Answer:

You need to add the picture so we can answer

Step-by-step explanation:

help
please i’ll mark brainliest

Answers

Answer:

d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Solve for the variable. (g + 6)/3 = 11

Answers

Question:-

solve the variable:-[tex]\sf{\dfrac{(g+6)}{3}=11   }[/tex] 

Answer:

[tex]\green{\boxed{g=27   }}[/tex]      

Explanation:

:[tex]\longrightarrow \bold{\dfrac{(g+6)}{3}=11   }[/tex] 

:[tex]\longrightarrow \bold{ g+6=11\times 3  }[/tex]

:[tex]\longrightarrow \bold{g+6=33   }[/tex] 

:[tex]\longrightarrow \bold{ g=33-6  }[/tex] 

:[tex]\dashrightarrow\bold{g=27   }[/tex]

HELP ME because it is hard

Answers

60 because 15x8 is 120 and the total degrees of a triangle is 180. 180-120 is 60.

perfume is sold in two diffrent sizes of bottle.

Answers

Answer: get the 2 perfums in the size 50ml

Step-by-step explanation:

80ml is 55 pound

50 ml is 45 pound

2nd is half of 45 pound which is 22.5

the 2 perfum in the size 50 ml with the special price is: 45 + 22.5 = 67.5 now per ml is 0.675 pound per ml i found the price per pound by dividing the ml by the price

for the 80ml the price per ml is 0.6875

Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.

Answers

Answer: The required scale factor[tex]=\dfrac43[/tex]

Step-by-step explanation:

Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]

Here, ED = 3 units  in Δ DEF which corresponding to SR = 4 units in ΔRST

Now,

Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]

[tex]=\dfrac{4}{3}[/tex]

hence, the required scale factor[tex]=\dfrac43[/tex]

How do you solve this?

-1 1/2+ 2 1/8

Answers

You have to find common denominators for 1/2 and 1/8. Since both denominations have 8 in common, multiply 2 by 4 and get 8. Multiply 1 by 4 and get 4. 4/8. 1 4/8 plus 2 1/8 is 3 5/8. Hope this helped.
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