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
mihalych1998 [28]
3 years ago
15

Estimate the perimeter and area of the shaded figure to the nearest tenth.

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

You might be interested in
Find the area of the figure and type your result in the empty box. 4 cm 4 cm​
Vinil7 [7]
4 cm x 4 cm would make a 16 cm area
just multiply 4 and 4 together to get the answer!

16 cm area

please mark the brainliest!
5 0
2 years ago
The sum of two numbers is 17, and their difference is 29. What are the two numbers?
serious [3.7K]
X + y = 17
x - y = 29

x = 17 - y
x - y = 29

x = 17 - y
17 - y - y = 29

x = 17 - y
17 - 2y = 29

x = 17 - y 
- 2y = 29 - 17

x = 17 - y
-2y = 12

x = 17 - y 
y = -6

x = 17 - (-6)
y = -6

x = 17 + 6
y = -6

x = 23
y = -6

6 0
3 years ago
Read 2 more answers
At noise pollution cellular,plan A is $30.00 per month and $5.00 for every gigabyte of data . Plan B is $50.00 per month and $2.
Romashka-Z-Leto [24]
Let x be the number of gigabyte of data used.

Plan A:
Total cost = 30 + 5x

Plan B:
Total cost = 50 + 2x

Irfan will use between 5 to 8 gb of data per month.

When x = 5
Plan A = 30 + 5(5) = $55
When x = 8,
Plan A = 30 + 5(8) = $70

When x =5,
Plan B = 50 + 2(5) = $60
When x = 8,
Plan B = 50 + 2(8) = $68

He is probably better off using Plan A. Plan A is a cheaper option up to 7gb of data. He should only swap to Plan B if he consistently use 8gb or more data per month.

8 0
3 years ago
An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar
S_A_V [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

5 0
3 years ago
Please help! worth 20<br> points!
Korolek [52]
I think it is choice C
8 0
3 years ago
Other questions:
  • Find the coordinates of the midpoint ab a(6,4) and b(2,-6)
    9·1 answer
  • PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!! &lt;3
    8·2 answers
  • A lunch bill $12 before tax. If tax on the bill is 7.5%, what is the total cost of the lunch including tax?
    13·2 answers
  • A desest tortoise spends about 95% of its life in underground burrows.About what fraction of a desert tortoise's life is spent a
    10·1 answer
  • If it cost me 375.00 to stay in a hotel for 3 days. How much it cost for one day.
    11·1 answer
  • Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y = - 1/3x +4
    13·1 answer
  • Write a polynomial of least degree with roots - 9 and - 2. Write your answer using the variable x and in standard form with a le
    12·1 answer
  • HELP!!! Is the relationship a function?
    10·2 answers
  • Is ABC a right angle? Why or why not?
    13·1 answer
  • Prove that 41 is congruent to 21 (mod 3). Explain using words, symbols, as you wish
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!