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
abruzzese [7]
3 years ago
15

Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the cir

cle, forming n congruent triangles. Determine the central angle theta in terms of n. Show that the area of each triangle is (1/2)r^2sintheta. Find the limit of the area as n approaches infinity.
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

a. Theta = 360/n ( angles around a point)

Step-by-step explanation:

n =Number of congruent triangles ( angles having the same angles and. Sides but not in the same direction).

This develops the assumption that each of the triangles created are equal and sides are equal.

Area of ∆ is given by 1/2 * b* h

Since all triangles are congruent b =h As they are all radius size

Area = 1/2 * (r *sin(theta)) * (r)

Area = 1/2*r^2sin(theta).

As n increases r *sin(theta) tends to 0

You might be interested in
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Aneli [31]

Answer:

A.

Step-by-step explanation:

Slope = y2-y1/x2-x1

(2,-4) = (x1,y1)

(4,2) = (x2,y2)

Slope = (2+4)/(4-2)

          = 6/2

          = 3

Y=mx+b   [Plugging (4,2) into this]

2 = 3×4 +b

2 = 12 + b

b = -10

3 0
3 years ago
Its late anyone wanna talk?
grigory [225]
Lol yeah sure why not
6 0
3 years ago
Read 2 more answers
Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the p
Yuliya22 [10]

Answer:

1/2

Step-by-step explanation:

Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.

(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)

So for this problem, there's  20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).

Our probability of getting a green marble is \frac{10}{20\\}, which simplifies to \frac{1}{2}

3 0
3 years ago
*^%Brainliest 15 pounds Question 5 (2 points)
galben [10]

Answer:

0

Step-by-step explanation:

Separate into two parts

\frac{4xy^{3} }{2xy^{2} }  +  \frac{8x^{2} {y}^{5} }{2x {y}^{2} }

Simplify:

This is for the first fraction

\frac{4x {y}^{3} }{2x {y}^{2} }  = (4 \div 2)(x \div x)( {y}^{3}  \div  {y}^{2} )

2(1)( {y}^{3 - 2} )

2{y}

Now for the second fraction:

\frac{8 {x}^{2} {y}^{3}  }{2x {y}^{2} }  = ( 8 \div 2)( {x}^{2}  \div x)( {y}^{5}   \div   {y}^{2} )

4( {x}^{2 - 1} )( {y}^{5 - 2} )

4x {y}^{3}

Add both parts together

2y + 4x {y}^{3}

To turn this into the said formula, that would become:

2 {x}^{0}  {y}^{1}  + 4 {x}^{1}  {y}^{3}

Where:

a=0

b=1

c=1

d=3

Any value with an exponent 0 except zero will be equal to 1

4 0
3 years ago
Isabella invited some friends to her birthday party, but a few weren't able to attend. Of the friends she invited, 8 attended. T
LuckyWell [14K]

Answer:

80% or like 8 squares out of 10 oe=r 4 out of 5 ect

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • 22 x 100 and please follow tritam16 on youtube on my brothers laptop
    8·2 answers
  • There are two numbers that equals 52.2 is less.what is the answer
    9·1 answer
  • Thirteen less than eight times a number is equal to 11 more than six times the number
    12·1 answer
  • Jenna is going at a constant rate of 4 miles per hour. It takes her 2 hours to get to her destination. How long would it take to
    15·2 answers
  • What percent of 60 is 20
    13·1 answer
  • Paramecia are unicellular protists that have contractile vacuoles to remove excess intracellular water. In an experimental inves
    12·1 answer
  • Which one of these points lies on the given circle?
    5·1 answer
  • Given that a²+b²=34 and ab=15 , find the value of (a+b²).​
    5·2 answers
  • Solve the system by substitution.<br> y = 3x<br> y = -4x – 49
    14·1 answer
  • Seven is more than 2 plus a number,q, can be shown by the inequality 2+q&lt;7. which causes for q make this a true statement.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!