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

Write the equation of the line with the given slope and y-intercept

Answers

Answer:

A) y = x - 3/4

Step-by-step explanation:

The equation of the line with slope m and intercept b is

y = mx + b

Here were have slope = m = 1.

y-intercept = b = -3/4

Equation:

y = mx + b

y = 1x + (-3/4)

y = x - 3/4

Answer: A) y = x - 3/4

consider the two functions which statement is true?

Answers

Answer:

A

Step-by-step explanation:

The answer is the rate of change for function A and Function B are the same!

Help pls question is the picture above :))))

Answers

It’s A,B,D hope this helps you!!


Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it

Please Help!!!!!!!!!

Answers

Answer:

x=17

Step-by-step explanation:

x+4+3x=72

4x+4-4=72-4

4x/4=68/4

x=17

Associative property of addition

Answer: x  =  17

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6

Answers

Answer:

C) [tex]P(E) = \frac{3}{6}[/tex]

The probability that Mae will roll an odd number

[tex]P(E) = \frac{3}{6}[/tex]

Step-by-step explanation:

Step(i):-

Given that Mae has a number cube with 6 sides that are numbered 1 through 6.

n(S) = { 1,2,3,4,5,6,} = 6

Let 'E ' be the event of odd numbers

Mae will roll an odd number

n(E) = {1, 3, 5} = 3

Step(ii):-

The probability that Mae will roll an odd number

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}[/tex]

[tex]P(E) = \frac{3}{6}[/tex]

7. Find the product. 8. Find the product. 9. Find the product.

Answers

Answer: 7) 6/17

8) 28/45

9)24/15

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

no need to

Help? ;-;




Please and thanks I will give Brainliest if ur right!✨

Answers

Answer:

<

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

0.25 = 1/4

So, 1/4<3/4

Last question on homework I’m having trouble with ^_^

Answers

Answer:

25 + h

f^2

Step-by-step explanation:

It says the sum of 25 and h which is 25 + h.

Now, it basically says "25 + h" is divided by f cubed. Cubed means to the power of 2 (the exponent), so f cubed would be f^2 (f to the power of 2).

25 + h is divided by f^2

25 + h

f^2

(the reason I put "^2" is because I don't know how to put exponents on here, sorry)

Cinemark is having a summer special.If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.Write a linear equation that will show the cost of membership and each movie seen

Answers

Answer:

Y=12.50x+2.00

Step-by-step explanation:

The linear equation that will show the cost of membership and each movie seen will be C = 2n + 12.5.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Cinemark is having a summer special. If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.

The slope of the line is $2.00 and the y-intercept of the line is $12.50.

Let C be the total cost and n be the number of movies. Then the linear equation will be

C = 2n + 12.5

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

What is 3/4 divided 1/2

Answers

Answer:

1.5

Use KCF to solve this problem

Answer:

1 1/2

Step-by-step explanation:

When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2


Pls help it would be a big help rn

Answers

Answer:

1.5 g/mm³

Step-by-step explanation:

Density = [tex]\frac{Mass}{Volume}[/tex]

[tex]\frac{3}{2}[/tex] = 1.5 g/mm³

I don’t know how to answer this

Answers

Answer:

m∠1=66

m∠3=66

m∠4=114

Step-by-step explanation:

m∠1+m∠2=180

m∠1+114=180

m∠1=66

m∠1=m∠3

66=m∠3

m∠4=m∠2

m∠4=114

The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?

Answers

Answer:

38

Step-by-step explanation:

The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.

Answers

Answer:

12

Step-by-step explanation:

Essentially, 60 and the 5 us must be equal:

60=5u

Divide both sides by 5 to solve for u but keep the equation balanced.

12=u

Answer:

the answer is 12

I'm givin all 25 of my points, please help me solve this

Answers

Answer:

4(7y-8)

Step-by-step explanation:

$35 bill before tax
tax:5.8%
Tip:21%

Answers

Answer:

If tip goes only on amount but not on tax: $44.38

If tip goes on total including tax: $44.81

Step-by-step explanation:

If the tip is applied to the price before tax, then we need to add 5.8% and 21% of $35 to $35.

tax + tip = 5.8% + 21% = 26.8%

100% + 26.8% = 126.8% = 1.268

1.268 * $35 = $44.38

If the tip is applied to the price plus tax, then we calculate the amount including tax first, then we add the 21% tip based on that price.

Bill before tax: $35

Add 5.8% tax: 1.058 * $35 = $37.03

Add tip to the amount including tax: 1.21 * $37.03 = $44.81

Twice the difference of 1 and a number.

Answers

2(1-n) where n=a number

HELP! please :)
if anybody can help me i'd be very happy!

Answers

Answer:

x = 18

Step-by-step explanation:

6x + 4x = 180

combine like terms

10x = 180

divide both sides of the equation by 10

10x/10 = 180/10

x = 180/10

x = 18

A pair of jeans that originally cost $40 was marked up 50%. During a sale the jeans were discounted 50%. What
is the sale price?

Can you explain how to show my work step by step

Answers

Answer:

20$

Step-by-step explanation:

50% of 40= 20

how do I simply 4/6

Answers

They can both be divided by 2, so you would divide 4 by 2 which is 2 and then 6 by 2 which is 3. it simplifies to 2/3

Answer:

Your Answer Is 2/3

Step-by-step explanation:

First you have to find what number are both divisible by, in this case 2.

Next you divide: 4÷2=2 and 6÷2=3

Since 4 was your numerator you put 2 on the top and Since 6 was the denominator you put 3 on the bottom.

is x2 + y2 = 36 a function

Answers

Answer:

No, it is not a function.

Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol

Answers

Answer: C

Step-by-step explanation:

9. Factorize: 6x2 - 19x + 14.​

Answers

Answer:

Step-by-step explanation:

Here, we want to factor the given polynomial

We have this as;

6x^2 - 19x + 14

= 6x^2 -12x-7x + 14

= 6x(x-2) -7(x-2)

= (6x-7)(x-2)

6x^2-19x + 14 = (6x-7)(x-2)

The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?


a
8
b
24
c
16
d
12

Answers

10 + .50x = 16 + .25x
.50x = 6 + .25x
.25x = 6
x = 24 tickets

Plsssss helpppppppppp meeeeeeeeee

Answers

Answer:

x = 14, y = 37

Step-by-step explanation:

The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then

9x + 12 + 3x = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14, so

3x = 3 × 14 = 42

3x and 4y - 10 are adjacent angles and supplementary, then

3x + 4y - 10 = 180

42 + 4y - 10 = 180

4y + 32 = 180 ( subtract 32 from both sides )

4y = 148 ( divide both sides by 4 )

y = 37

Good night everyone
Also
should I
A. Go to bed
B. clean my room
C. Cry



c. is looking like the best option right now

Answers

Answer:

A

Step-by-step explanation:

8 hours of sleep is healthy

Answer:

clean your room then go to bed. you will feel proud of yourself after you do

The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

Answers

Answer:

1778 cm

Step-by-step explanation:

NEED HELP PLSS!!!



pls dont answer if you dont know

Answers

Answer:

the second one is 343 to the 5 power

Step-by-step explanation:

thats all i know

srry honey

Answer:

[tex]16 {x}^{14} [/tex]

[tex] {7}^{15} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:[tex]( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} [/tex][tex]( {x} ^{a} )^{b} < = > {x }^{ab} [/tex]let's solve:

[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]

[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]

PLEASE HELP!!! I NEED TO TURN THI IN SOON !!!
Question and instructions in the image below!!!
MAKE SURE TO JUSTIFY YOUR ANSWER!!!!
Will mark brainliest if correct!!!

Answers

Answer:

3. f(x + 3)

Step-by-step explanation:

Point A is 3 units to the left from the graph

The graph, if translated 3 units to the left will include the point A.

Horizontal translation is:

f(x) ⇒ f(x + 3)

Correct option is 3.

Answer:

3. f(x + 3)

Step-by-step explanation:

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