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
dem82 [27]
3 years ago
10

The polygons are regular polygons. Find the area of the shaded region to the nearest tenth.

Mathematics
1 answer:
Paha777 [63]3 years ago
4 0

Answer:

128.8 cm²

Step-by-step explanation:

In the image attached below, the regular polygon is a square which is composed of a small square and a large square. In a square, all the sides are equal.

For the small square, half of the diagonal is 4 cm, therefore the length of the diagonal is 8 cm (2 × 4 cm). Let the length of the side be a cm, using Pythagoras theorem:

a² + a² = 8²

2a² = 64

a² = 32

a = √32 = 5.7 cm

The area of the small square = length × length = 5.7 × 5.7 = 32.5 cm²

For the large square, half of the diagonal is 9 cm, therefore the length of the diagonal is 18 cm (2 × 9 cm). Let the length of the side be b cm, using Pythagoras theorem:

b² + b² = 18²

2b² = 324

b² = 162

b = √162 = 12.7 cm

The area of the large square = length × length = 12.7 × 12.7 = 161.3 cm²

The area of the shaded region = Area of large square - Area of small square = 161.3 cm² - 32.5 cm² = 128.8 cm²

You might be interested in
This is the term in a polynomial without a variable
alexandr1967 [171]
It is a constant. hope this helps

4 0
3 years ago
Gianna is making up bags of fruit for her soccer team. Each bag contains 2 strawberries, 4 blueberries, and 3 raspberries. If sh
NeTakaya

Answer:

Gianna uses 24 raspberries

Step-by-step explanation:

there are 2 strawberries in each bag, if Gianna uses 16 then she must have 8 bags.

So 8 times 3 is 24 (The 3 is how many raspberries in a bag)

So Gianna uses 24 raspberries

Hope this helps!

7 0
3 years ago
Find the angles y and x​
Katen [24]

Answer:

x = 67

y = 23.5

Step-by-step explanation:

Sum of angles in a triangle is supplementary,

x + 90 + 23 = 180

x + 113 = 180

x = 180 - 113

x = 67

y = ?

180 - 67 / 2

= 133 / 2

= 66.5

y + 66.5 = 90

y = 90 - 66.5

y = 23.5

3 0
3 years ago
PLEASE HELP ME????<br> What is the value of the expression below? A. 8 B. 4 C. 1 D. 2
shutvik [7]
I did this in london! Its B. 4 For londons answers! by mate!
4 0
3 years ago
Gene ran 90 meters in 16.3 seconds. alma ran 90 meters in 17.2 seconds. who had the fastest time
maria [59]

Answer:

Gene ran faster

Step-by-step explanation:

The fastest time is the smallest time since they ran the same distance

gene ran 90 meters in 16.3 seconds.

alma ran 90 meters in 17.2 seconds

16.3 < 17.2

Gene ran faster

7 0
2 years ago
Other questions:
  • Determine whether the statement (p∧(p⟶q))⟶q is a tautology one time by using truth table and the other time without using truth
    5·2 answers
  • If all the dimensions of the prism doubled, would the volume double?
    8·1 answer
  • What do I do about the variables
    10·1 answer
  • If something costs $105.00 , and you have a 35% discount, how much would it be ?
    10·2 answers
  • The mass of Earth is 1/138 of the mass of Jupiter. What percent is this hellllllllllllllllllllllllllllllllllllllllllllllllllllll
    8·2 answers
  • Nash has completed 215 meters of the 400 meters running track. how many more meters was Nash run to finish running around the tr
    11·1 answer
  • What are the values of x in this equation? x^4+12x = 4x^2+3x^3
    11·2 answers
  • Find the common ratio, the 8th term, the explicit formula, the recursive formula, and the three terms in the sequence after the
    14·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.
    15·1 answer
  • In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!