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
Alika [10]
2 years ago
6

A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi

nt will be in the shaded region.
about 60%

about 50%

about 30%

about 75%

Mathematics
1 answer:
liubo4ka [24]2 years ago
8 0

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

You might be interested in
Use an inequality symbol(&lt;&gt;_= to compare _26_54
Rina8888 [55]
26 < 54
26 is less than 54
4 0
3 years ago
Read 2 more answers
Graph the function -2x+5y=10
loris [4]
An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

-------------------------------------------------------------------------------------------------

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

6 0
3 years ago
Bob did chores for his neighbor. The first day he earned $8. Then he earned $10 a day for
Aleksandr [31]

9514 1404 393

Answer:

  $128

Step-by-step explanation:

Bob's total earnings were ...

  $8 + ($10/day)(6 days/week)(2 weeks) = $8 +$10·6·2 = $128

Bob earned a total of $128.

7 0
3 years ago
Will give brainly if helped fast
omeli [17]

Answer:

A >

Step-by-step explanation:

7/10 > 1/4

then, the answer is:

A >

3 0
2 years ago
Helpp with number 23 pls
Lana71 [14]

Answer : Susan is correct

Susan is correct because if you get that chart and turn all the numbers to decimals and divide the chart in half you will get the answer to 1.4/0.2 because the chart has 14 slots and if you divide that by 2 you will get 7 just think of 1.4/0.2 as 14/2.

7 0
2 years ago
Other questions:
  • How do I round 123834392 to the nearest thousand
    8·1 answer
  • Alex buys 2 1/2 pounds of grapes. He buys 1 1/4 times as many pounds of apples as grapes. How many pounds of apples does he buy?
    8·2 answers
  • Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the dat
    13·1 answer
  • How many solutions does 25 + 3A + 9 = 34 + 3A have?
    13·1 answer
  • HELP ASAP! <br> What is the measure of the diameter of A?
    10·1 answer
  • Write using exponents<br> 8 x 8 x 8 x 8 x n x n x n
    6·2 answers
  • In a balance sheet what do you add to get the cash balance?
    15·1 answer
  • What is the frequency heard by a person driving at 15 m/s toward a blowing factory whistle (800. Hz) if the speed of sound is 34
    5·1 answer
  • HELP ASAP FOR BRAINLIEST
    12·2 answers
  • Please help me on this, I see that the growth is increasing but I don’t know the meanings
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!