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
Marta_Voda [28]
3 years ago
13

Explanation would be appreciated. i don’t understand

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0

Answer:

(B) 28√3

Step-by-step explanation:

The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.

Area of triangle CDE:

Triangle ABC is equilateral. All sides have length 12.

AB = BC = AC = 12

BE = 8

BE + EC = BC

8 + EC = 12

EC = 4

In an equilateral triangle, all angles measure 60°.

m<C = 60°

m<CDE = 30°

Triangle CDE is a 30-60-90 triangle.

DE = EC√3

DE = 4√3

area of triangle CDE = bh/2

area of triangle CDE = (EC)(DE)/2

area of triangle CDE = (4)(4√3)/2

area of triangle CDE = 8√3

Area of triangle ABC:

Side AC is a base of triangle ABC.

AC = 12

(1/2)AC = 6

The altitude of triangle ABC from side AC to vertex B measures

h = 6√3

area of triangle ABC = bh/2

area of triangle ABC = (AC)(h)/2

area of triangle ABC = (12)(6√3)/2

area of triangle ABC = 36√3

area of quadrilateral ABED = area of triangle ABC - area of triangle CDE

area of quadrilateral ABED = 36√3 - 8√3

area of quadrilateral ABED = 28√3

katen-ka-za [31]3 years ago
5 0

Answer:

28\sqrt{3}

Step-by-step explanation:

The area of the big triangle is 1/2 b h =  1/2*6*(12^2 = 6^2 + x^2)

that ends up being \sqrt{108}  = 36\sqrt{3}

the small triangle are needs to be subtracted....

\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)} that is the length of the unknown side...

1/2 B * h of that triangle get you to 8\sqrt{3}

just subtract the two areas

You might be interested in
In which quadrant is the point (-2, -9)?​
myrzilka [38]

Answer:

3rd quadrant

Step-by-step explanation:

Given:

Point (-2, -9)

Computation:

In 1st quadrant (+ , +)

In 2nd quadrant (- , +)

In 3rd quadrant (- , -)

In 4th quadrant (+ , -)

So given point (-2, -9) is in 3rd quadrant.

4 0
2 years ago
T^3-9t^2+15t use the equation to find t
andreev551 [17]

Answer:

DONT CARE I WISH u GET FAILED

MNMCZ JHJFSDFHDGFJCXBH

4 0
3 years ago
Least
Alex73 [517]

Answer:

we don't have the full answer sry.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
This equation shows how the total number of quizzes Angie has ever taken in high school depends on the number of weeks she has a
zepelin [54]

Answer:

9 weeks

Step-by-step explanation:

Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.

12 = w + 3     Subtract 3 both sides

9 = w

7 0
3 years ago
Choose where it is a function or not a function also choose what is the range and the domain
kow [346]
Not a function because of the vertical line test.
Domain is [-2,∞] since the left most point is -2 and the right is unbounded.
Range is (-∞,∞) since it is not bounded in terms of y.
7 0
3 years ago
Other questions:
  • Which of the following is a solution to 2cos2x − cos x − 1 = 0?\
    15·1 answer
  • What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
    10·2 answers
  • What is the area of the figure? How do you find it?
    8·1 answer
  • If the mean of a positively skewed distribution is 126, which of these values could be the median of the distribution?
    8·1 answer
  • Round 375.52 to the nearest one
    10·2 answers
  • 60 is 80% of what number
    13·1 answer
  • Siobhan needs a $7,000 personal loan.
    12·2 answers
  • 40% of 48 is what number
    6·2 answers
  • Which of the following is a direct proportion?<br> A. y=7x<br> B. y=x+7<br> C. y=7x−7<br> D. y=7
    12·1 answer
  • How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!