answer.
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
ANEK
18 days ago
8

Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots ar

e the same.How many meters of fencing did she buy?

Mathematics
1 answer:
Leona [9.2K]18 days ago
8 0
The perimeter of a square is expressed as p = 4a.....
p = 4(x + 2)
p = 4x + 8

and the perimeter of a rectangle is given by: p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2

To find when these perimeters are equal, we equate them and solve for x.

4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
x = 6/4
x = 1.5

For the square: p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
For the rectangle: p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters

Thus, she purchased 14 meters of fencing <==
You might be interested in
Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC
Leona [9281]

Answer:

3\sqrt{5}/2

Step-by-step explanation:

Given that AC = BC, this is an isosceles triangle.

Since CD is perpendicular to AB, we find AD = DB = 0.5AB = 3/2

Now considering triangle ACD,[TAG_17]]

we will use Pythagoras' theorem,

AC = \sqrt{AD^{2} + CD^{2} }

AC = 3\sqrt{5}/2

:-)

4 0
7 days ago
Read 2 more answers
A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
lawyer [9248]

Response:

(A)

A symmetrical outcome occurs when both figures are identical.

The half section of the illustration is tilted downward; therefore, to achieve symmetry, we must shift the figure upwards.

Then, we reflect upon the inverted image.

Thus, we achieve reflectional and translational symmetry.

7 0
20 hours ago
Read 2 more answers
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units.
Svet_ta [9556]

Answer:

Volume of the shaded area = (600 - 36π) units³

Step-by-step explanation:

Volume of the shaded area = Volume of pyramid - Volume of cone

Volume of pyramid = ⅓*l*w*h

Where,

l = length of the base of the pyramid = 15 units

w = width of the base of the pyramid = 10 units

h = height of pyramid = 12 units

Substituting the values helps find the volume of the pyramid

Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³

Volume of Cone = ⅓πr²h,

Where,

r = radius = ½ of diameter = ½ of 9 = 3 units

h = height = 12 units

Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12

= π*3*12 = 36π units³

Volume of shaded area = (600 - 36π) units³

3 0
5 days ago
At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be a new school m
babunello [8429]
The solution is c 156 students. 
8 0
1 month ago
Read 2 more answers
the table shows the sales of admission tickets to a science museum. A table labeled Science Museum Admission Revenue. It contain
zzz [9093]
<span>The admission price for the art museum is $9.75 per ticket.

</span><span>Compared to science museum tickets, art museum tickets are pricier.
</span>
This was verified through my testing.

3 0
18 days ago
Read 2 more answers
Other questions:
  • Write 3.01 (1 repeating) as a mixed fraction?
    7·1 answer
  • Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t
    12·1 answer
  • All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be
    15·1 answer
  • Fourteen runners in a marathon had these race times, in hours,
    7·1 answer
  • During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?
    10·1 answer
  • PLEASE HELP RUNNING OUT OF TIME .!!! A boat designer plans to construct a triangular sail with base 90 centimeters and altitude
    10·1 answer
  • The ages of people at a concert are normally distributed with a mean of 24 years and a standard deviation of 3.2 years.
    11·1 answer
  • Set G is the set of positive integers divisible by 4 in set if is the set of perfect squares list the first five elements of set
    7·1 answer
  • Kevin plants a total of 72 flowers in equal rows he plants 6 rows of yellow flowers and 2 rows of red flowers how many flowers a
    12·1 answer
  • A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of s
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!