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
m_a_m_a [10]
3 years ago
15

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Mathematics
2 answers:
VladimirAG [237]3 years ago
7 0

Answer:

\boxed{108\sqrt{3}\text{ in}^{2}}

Step-by-step explanation:

An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.

The three apothems OD, OE, and OF divide  ∆ABC into six smaller congruent triangles.

1. Area of ∆OCD

CotOCD = OD/OC

cot30 = CD/6

√3 = CD/6

CD = 6√3

A= ½bh

A = ½ × 6√3 × 6 = 18√3  in²

2. Area of ∆ABC

A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²

\text{The area of the triangle is }\boxed{108 \sqrt{3} \text{ in}^{2}}

Doss [256]3 years ago
7 0

Answer:

just had this question :/ 108√3

Step-by-step explanation:

You might be interested in
BRAINLIEST ANSWER!! The product of 3, and a number increased by seven, is -36. Translate the equation, then solve.
EleoNora [17]

Product is multiplication.

Let the number = x


3 *( X+7) = -36

Use distributive property:

3x +21 = -36

Subtract 21 from each side:

3x = -57

Divide both sides by 3:

x = -57 /3

x = -19


Check: 3 * (-19 +7) = 3 * -12 = -36


The number is -19


4 0
3 years ago
Factor the polynomial completely x^2-x-20
Strike441 [17]

Answer:

(x − 5) (x + 4)

Step-by-step explanation:

x² − x − 20

Factor using AC method:

1 × -20 = -20

Factors of -20 that add up to -1: -5 and 4

Divide by 1 and reduce: -5/1 and 4/1

(x − 5) (x + 4)

5 0
4 years ago
Read 2 more answers
1+ 3z= 40 what’s the answer to this problem I’m confused???
stepan [7]

Answer:

13

Step-by-step explanation:

subtract 1 on both sides

then divide by 3

to get 13

8 0
3 years ago
Read 2 more answers
A bag with 8 marbles has 8 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
konstantin123 [22]

Answer: 1

Step-by-step explanation:

8 yellow / 8 total = 8/8 = 1

8 0
3 years ago
Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.
kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

  • AB ≅ BA;
  • AC ≅ BD;
  • BC ≅ AD;
  • ∠ABC ≅ ∠BAD;
  • ∠BCA ≅ ∠ADB;
  • ∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

  • AC ≅ BD;
  • ∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
  • ∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

6 0
4 years ago
Other questions:
  • 250 people went to a “couples party” party at 9am. If 70 people left at 11pm how many couples remained at the party?
    8·1 answer
  • Evaluate y = ex + 1 for the following values of x. Round to the nearest thousandth. x = −2, y ≈ x = 1, y ≈ x = 2, y ≈
    6·2 answers
  • If events A and B are independent, find P(A│B).<br> A. P(A)<br> B. 1<br> C. 0<br> D. P(A)/P(B)
    11·1 answer
  • What are the values of k that make 2x^2 + kx + 11 factorable?
    7·1 answer
  • Evaluate 5r-8.35s when r=12 and s=4
    12·1 answer
  • PLZZZZZZZZ HURRY
    5·2 answers
  • WILL MARK BRAINISETS IF ITS RIGHT PLS ANSWER​
    14·2 answers
  • Am I right vote you brainiest
    5·1 answer
  • Item 6 Graph △JKL and its image after a reflection in the y-axis. J(5, 3), K(1,−2), L(−3, 4)
    6·1 answer
  • How many 0.25 are there in 10.5?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!