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
Kipish [7]
3 years ago
13

8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You d

ecide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7 centimeters, what will be the exact area of each hexagonal shape?
(1 point)
21 cm²
73.5 sqrt 3cm²
98 sqrt 3 cm²
1,029 cm²
Mathematics
2 answers:
ira [324]3 years ago
3 0

Step 1

Find the area of one equilateral triangle

Applying the law of sines

Area=\frac{1}{2} *a*b*sin C

in this problem

a=b=7 cm

C=60 degrees

so

Area=\frac{1}{2} *7*7*sin 60

Area=\frac{1}{2} *49*\frac{\sqrt{3}}{2}  \\ Area=49*\frac{\sqrt{3}}{4}cm²

Step 2

To calculate the area of the hexagon multiply the area of one equilateral triangle by 6

Area Hexagon=6*[49*\frac{\sqrt{3}}{4}]  \\ Area Hexagon=73.5*\sqrt{3}cm²

therefore

the answer is the option

73.5 sqrt 3cm²

dlinn [17]3 years ago
3 0
Find the area of the triangle and multiply it by 6 to find the area of the hexagon. So the correct answer is 73.5 sqrt 3cm². Thank you for posting your question. I hope this answer helped you. Let me know if you need more help. 
You might be interested in
PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of​ car, 1750 said they would buy that type of c
Anna [14]

Answer:

50%

Step-by-step explanation:

3500 divided  by 1750 is 2 which is equal to 50%

3 0
2 years ago
HELP PLEASE! ALSO CAN U EXPLAIN BECAUSE I NEED TO LEARN AAA m ÷ -1/4 = 6
Sveta_85 [38]
The answer is -3/2 lmk if you need an explanation :)
8 0
3 years ago
Plz help! (due tonight!)
Vilka [71]

Answer:

There will be 9 couples, and 3 lonely girls

Hope this helps

plz like and brainly :D

5 0
3 years ago
NEED HELP NOW 25 POINTS!!!!!!!
AysviL [449]
70 degrees, hope this helped.
4 0
3 years ago
Kaci bought a birthday cake like the one shown below. If a=5inches,b=5inches,c=10 inches, and d=3inches what is the volume of th
Gnom [1K]

Answer:

75+150=225 in^2

Step-by-step explanation:

Separate each layer.

Area1+Area2= Total area

A1= a*b*d

A2=a*c*d

A1=5*5*3=75 in^2

A2=5*10*3=150 in^2

75+150=225 in^2

7 0
2 years ago
Other questions:
  • What is two numbers that equal 15.2 when you add and 52 when you multiple
    6·1 answer
  • If f has a local maximum value at x = a, what would you expect the graph of f ' to look like near x = a?
    7·1 answer
  • Suppose that x = 2+2t and y = t - 21. If x = 8, what is y?
    6·1 answer
  • What is the approximate measure of this angle?
    12·1 answer
  • Refer to the picture, including the ratios. What is the theorem that allows you to state that triangle def ~ triangle ghj ?
    14·1 answer
  • Which system of linear inequalities is represented by the<br> graph?
    11·2 answers
  • Salim has a flock of 300 chickens, 15% of which are infected with a virus. He plans on taking an SRS of 7
    10·1 answer
  • −2/9−(−1/3÷3/5)<br> What’s the answer?<br> / means a fraction line
    7·2 answers
  • 6x/2 + 45=160<br> Con el trabajo
    9·1 answer
  • What is the value of x?<br> A. 3<br> B. 9<br> C. 15<br> D. 30
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!