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
ikadub [295]
3 years ago
8

Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fenc

ing will she need to enclose the garden?
Mathematics
2 answers:
Ainat [17]3 years ago
8 0

Answer:

27 feet of fencing will be required to enclose the triangular garden.

Step-by-step explanation:

Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft².

So, the triangle is isosceles right triangle with, Base = Height = x ft. (Say)

So, the area of the triangle,  \frac{1}{2} \times (\textrm {Base}) \times (\textrm {Height}) = 32

⇒  \frac{1}{2} x^{2} = 32

⇒ x² = 64

⇒ x = 8 feet.

So, the hypotenuse = \sqrt{8^{2} + 8^{2}} = 8\sqrt{2} = 11.3 feet.

Therefore, the perimeter of the triangle will be = (8 + 8 + 11.3) = 27.3 ≈ 27 feet.

So, 27 feet of fencing will be required to enclose the triangular garden. (Answer)

wel3 years ago
3 0

Answer:

27 ft

Step-by-step explanation:

Given: A garden in the shape of a 45º-45º-90º triangle.

Area of triangle= 32 ft²

As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.  

∴ Base and height will be equal.

Assuming base is also as "h"

Now, finding the length of base and height by using area of triangle formula.

Area of triangle=  \frac{1}{2} \times base\times height

⇒32= \frac{1}{2} \times h\times h  

Multiplying both side by 2

⇒64= h^{2}  

Square rooting both side, remember; √a²= a

⇒  \sqrt{64} = h

∴ h= 8 feet

Hence, both base and height of right angle triangle is 8 feet.

Next, finding total fencing required to enclose the garden.

Perimeter of garden is equal to the amount of fencing required by Adaline.

Therefore, finding the length of hypotenous of triangle too.

Using pythogorean theoram.

h^{2} = a^{2} +b^{2}, where a is the height and b is the base of triangle.

⇒ h^{2}= 8^{2}  +8^{2}

⇒ h^{2} = 128

Square rooting both side

⇒h= \sqrt{128}

∴ h= 11.3 feet

Perimeter of garden= base+height+hypotenous

⇒ Perimeter of garden= 8+8+11.3= 27.3\ feet \approx 27\ feet

Hence, 27 feet fencing is required to enclose the garden.

You might be interested in
(−4x^4 +6x^2 +3) − (5x^2 - 3)
Alborosie

Answer:

-4x^{4} + x^{2} + 6

Step-by-step explanation:

(-4x^{4} + 6x^{2} + 3) - (5x^{2} - 3) = -4x^{4} + 6x^{2} + 3 - 5x^{2} + 3 = -4x^{4} + 6x^{2} - 5x^{2} + 3 + 3 =  -4x^{4} + x^{2} + 6

7 0
3 years ago
LGS matematik
NeX [460]

Answer:

si quieres la respuesta pon más puntos

3 0
2 years ago
3. The box-and-whisker plot below shows the heights,in inches, of the students in a 7th grade class.What percentage of the heigh
Fantom [35]
(3) 62.5% cuz u take the total number of the students and u divide it by the number of students between 60 to 65
7 0
2 years ago
PLZ HELP ASAP CIRCLES PART 2
Sveta_85 [38]
For this case we have the following angle:
 theta = (9/5) pi
 Having the conversion we have:
 theta = ((9/5) pi) * (180 / pi)
 Rewriting we have:
 theta = (9/5) * (180)
 theta = (9/5) * (180)
 theta = 324 degrees
 Answer:
 
The angle is equivalent to:
 
theta = 324 degrees
5 0
3 years ago
You mow the lawn to earn your allowance. Each time you mow the lawn you earn \$12$12dollar sign, 12. Write an equation for the n
horrorfan [7]
For this case, the first thing we must do is define variables.
 m: number of times you cut the grass
 d: amount of dollars you earn.
 We now write the linear equation that models the problem:
 d = 12m
 The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
 Answer:
 
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
 
d = 12m
6 0
3 years ago
Other questions:
  • you have a 90 pound calf you are raising for a 4-H project. You expect the calf to gain 65 pounds per month. In how many months
    12·1 answer
  • How do i factor 12b^2+14b-10 using one of the six techniques for factoring polynomials?
    11·1 answer
  • The topping are nuts hot fudge caramel and sprinkles
    14·1 answer
  • Look at the map. explain why elm street and birch street are not perpendicular
    12·2 answers
  • BRAINLIESTTT ASAP! PLEASE HELP ME :)
    11·1 answer
  • After the bank cashed a check Maureen wrote for $60, her balance was -$14. The equation
    8·1 answer
  • Which side lengths form a right triangle 30 POINTS!!
    6·1 answer
  • Use the distribuative property to create an equivalent expression to 40+4x
    12·1 answer
  • Shannon’s bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 fe
    15·1 answer
  • Is collecting pennies dependent or an independent events?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!