1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
3 years ago
7

In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?

Mathematics
2 answers:
Dimas [21]3 years ago
8 0
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares: 

Semi Circle Area Formula: \pi  r^{2} ÷ 2
Square Area Formula: length x width 

Pi = 3.14 
Radius = Half of the diameter, in this case 6 

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border. 
alukav5142 [94]3 years ago
4 0

Answer:

Area of the border is 142.80 ft²

Step-by-step explanation:

The given figure consist of three figures = 2× semicircles + 1 square.

We will calculate area of the figure including border

Area of one semicircle = (1/2)π×r²= (1/2)×π×(12/2)² = (1/2)π×(6)² = 18π ft²

Area of square = side² = 12² = 144 ft²

Total area = 144 + 18π + 18π = (144 + 36π) ft²

Now we will calculate area without border.

Area of the semicircle = (1/2)π×r² =(1/2)π×[(12-4)/2]²=(1/2)π×(4)² = 8π ft²

area of square = side²= (12-4)²= 8² = 64 ft²

Total area = 64 + 8π + 8π = (64 + 16π) ft²

Now the area of the border = Area with border - Area without border

= (144 + 36π) - (64 + 16π) = 20π + (144 - 64) = 20π + 80

= 20×3.14 + 80 = 142.80 ft²

Area of the border = 142.80 ft²

You might be interested in
Pls answer this with an explanation if you can pg3 pt12
faust18 [17]
With each gallon you need 11 gallons with 2 parts red 9 parts yellow and since 11x4= 44 you need to do this 4 times
4x2(red)= 8
4x9(yellow)=36
36+8=44
basically 8 gallons of red
i hope this made sense
7 0
3 years ago
"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place o
Mariulka [41]

Answer:

11.2 miles


Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

  • <u>10 mi east</u> - 10 miles to the right. then,
  • <u>5 mi north</u> - 5 miles above

<em><u>See the attached picture. The direct distance is labeled as x.</u></em>


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18


<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

6 0
2 years ago
Read 2 more answers
How to solve 9x^2+9x+2
Oksana_A [137]

Answer:

factoring: ( 3 x + 1 ) ( 3 x+ 2 )

expressing/equation: 9x²= 81x

81x + 9x + 2=

9x+81x=90x

90x + 2

Step-by-step explanation:

7 0
3 years ago
Simplify the following expression using distributive property <br> -2(x-8)
MariettaO [177]
The answer to -2(x-8) is 16-2x
8 0
2 years ago
Which is a perfect square?<br> 0 5<br> 0 8<br> 36<br> 44
Liono4ka [1.6K]

Answer:

C) 36

Step-by-step explanation:

Because 6^2=6*6=36.

3 0
3 years ago
Read 2 more answers
Other questions:
  • How do I round 3.047 to the nearest hundred and show the math
    9·2 answers
  • Which of the following best describes T in the general formula for an exponential function, which is shown below?
    6·1 answer
  • Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
    15·1 answer
  • Sean says that to add a number to -100 and still have -100 is to add zero. Candice says that she can add two numbers to -100 and
    6·2 answers
  • I know it’s a lot but I need help didn’t get the material because I’m doing online classes and my WiFi is trash
    12·2 answers
  • You are conducting a study on the health of people who have been exposed to radiation and those who have not been exposed to rad
    7·2 answers
  • QUESTION 2
    5·1 answer
  • A pie chart is to be drawn for Cathy’s spending.
    15·2 answers
  • What us the mean of the given distribution, and which type of skee does it exhibit. {4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3,
    14·1 answer
  • TC= 0.0001Q^2-0.02Q+5+500Q
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!