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
spayn [35]
3 years ago
10

I really need help with this

Mathematics
1 answer:
slega [8]3 years ago
8 0
Check the picture below.

the radius, so-called because if we circumscribe the triangle in a circle, that'd be the radius of the circumcircle, is 3 inches, as you see there in the picture in red.

now, bear in mind that the triangle is an equilateral one, and therefore, 180/3 = 60, meaning all its interior angles are congruently 60°.

if we run the radius of the triangle, like there, it will cut one of those interior angles in half, namely the radius is an angle bisector, and if we run a perpendicular line to the bottom side, like the dashed one there, we end up with a 30-60-90 triangle, to which we can apply the 30-60-90 rule, as you see it there.

since we know what half of a side of the triangle is, as you see it there in blue, then we can use that and plug it in at

\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}~~
\begin{cases}
s=length~of\\
\qquad a~side\\
-------\\
s=\stackrel{\frac{3\sqrt{3}}{2}+\frac{3\sqrt{3}}{2}}{3\sqrt{3}}
\end{cases}\implies A=\cfrac{(3\sqrt{3})^2\sqrt{3}}{4}
\\\\\\
A=\cfrac{(3^2\sqrt{3^2})\sqrt{3}}{4}\implies A=\cfrac{(9\cdot 3)\sqrt{3}}{4}\implies A=\cfrac{27\sqrt{3}}{4}

You might be interested in
The alphabet game costs $.25 to play. Before the game, 26 slips of paper with a different letter of the alphabet on it are put i
julsineya [31]

Answer: 25/676

Step-by-step explanation:

Number of possible outcomes = 26

In other to win, one must draw must be either (A, E, I, O or U)

Therefore required drws to win = 5

First draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Second draw:

P(win) = Total required outcome / Total possible outcome

P(win) = 5/26

Therefore,

P(winning twice) = (5/26) × (5/26) = 25/676

8 0
3 years ago
Multiply 2.19 × 43.7 = ____
makkiz [27]
Hello your correct answer would be 95.703 
Have a great day if it is incorrect tell me in the comments 
7 0
3 years ago
Read 2 more answers
Help me please thank you
iris [78.8K]
SSS - the side they're sharing is also congruent so if you just add in the other congruent sides you get SSS
4 0
3 years ago
What is the image of
Ugo [173]

Answer:

Step-by-step explanation:

5 0
3 years ago
divide 24 fish into five groups. What is the remainder of this division? Hint: Group the fish into sets of 5, and count how many
vlada-n [284]

Answer:

4.4

Step-by-step explanation:

The answer is 4.4 because if you know that 5*4 equal 20 so 4 can go each of the 5 groups so 24-20 leaves you with 4 so your answer is 4 remainder 4

8 0
3 years ago
Read 2 more answers
Other questions:
  • 7=62-b what would you do to find the value for b
    9·2 answers
  • Find the balance of $2,500 deposited at 3% compounded annually for 3 years
    12·2 answers
  • susan tips at the rate of 5.00 to 5 waiters. how many waiters will she be tipping, if she can afford a 90.00 tip?
    6·2 answers
  • In a coordinate plane, plot the points and sketch angle. Write the coordinates of a point that lies in the interior of the<br> a
    13·1 answer
  • Someone help me please
    8·1 answer
  • The Emerald Bot clicks 3 times in ____ sec, and its Unit Rate is 7.5 clicks per second. Find the number of sec.
    13·1 answer
  • What matches with Pictograph??
    8·2 answers
  • If you know the answers please let me know
    7·1 answer
  • PLEASE ASAP! If OP = 64, PQ = 76 OQ = 62, ST PLEASE LOOK AT ATTACHED PICTURE
    10·1 answer
  • Point p is on the terminal side
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!