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
vazorg [7]
3 years ago
10

Find the area of the crescent-shaped region (called a lune) bounded by arcs of circles with radii r = 2 and r = 14

Mathematics
1 answer:
Liula [17]3 years ago
3 0

the complete question in the attached figure 

Let 

A1-------> half of the area of the blue circle
A2-------> area of the circular segment formed by the diameter of the blue circle treated as a chord of the red circle

A3---------- > area of the crescent-shaped region

A3=A1-A2

A1=pi*2²/2=6.28

Area of ​​the circular sector

if 360 º corresponds to an area of pi*14²

2*arc sin(2/14)------------------- X

X=16.43*pi*14²/360---------- > X=28.10

Triangle area:

------- >(4/2)*√(14²-2²=27.72 

Area of ​​the circular segment A2=Area of ​​the circular sector-Triangle area

A2=28.10-27.72=0.38

A3=  A1-A2=6.28-0.38=5.90 units²

the answer is 5.90 units²

You might be interested in
A movie streaming service charges it’s customers $15 a month. Martina has $98 saved up. Will she have any money left over if she
lukranit [14]

Answer:

98 : 15 = 6 R 8

She can pay for six months 6*15 = $90 and she will have $8 left.

6 0
3 years ago
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l
AlexFokin [52]

The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.

<h3>What is a Rhombus ?</h3>

Rhombus is a quadrilateral with all the sides equal to each other.

It is given that d₁ and d₂ are the lengths of the diagonals.

and Area = a

a = (1/2) d₁ * d₂

  • 2a = d₁ * d₂

       d₁ * d₂ = 2a

       It can be written as

        d₁= 2a/d₂

a = (1/2) d₁ * d₂

  • d₁ * d₂ = 2a

        d₂= 2a/d₁

Therefore Option 2 and 5 are the correct answer.

The options of this question are:

1.  d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2A/d₁

To know more about Rhombus

brainly.com/question/27870968

#SPJ1

3 0
2 years ago
Find the area of the figure
Kitty [74]

Answer:

38units²

Step-by-step explanation:

10*3=30  +   4*2=8

got 4 cuz 6+x=10 then x=4

got 2 cuz 5-3=x so x=2

8 0
3 years ago
Read 2 more answers
Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
satela [25.4K]

Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

5 0
3 years ago
Read 2 more answers
Simplify the expression<br><br> 3+2x(8-3)<br><br> A.25<br> B.37<br> C.13<br> D.16
skelet666 [1.2K]
C. 13

3+2x(8-3) 13
8-3=5
3 0
3 years ago
Other questions:
  • What determines if an equation is a one-to-one function?​
    15·1 answer
  • When solving for y in a equation what is the answer to 5x-3y=21​
    5·2 answers
  • Find the additive and multiplicative inverse of 2/5.
    7·2 answers
  • What is the midpoint of AC?
    11·2 answers
  • Write an equation of the line that passes through (-2, 8) and (-4, -4)
    15·1 answer
  • A sector with an area of 26pie cm^2 has a radius of 6 cm. What is the central angle measure of the sector in radians?
    12·1 answer
  • ASAP PLEASE HELP which answer is right???
    10·1 answer
  • What is the value of sin(F)?<br> 1 point<br><br> 4/3<br> 3/5<br> 4/5<br> 3/4
    5·1 answer
  • Make a line plot for each set of data.
    14·1 answer
  • 22÷1/5 (urgent) I need this ​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!