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
andrew11 [14]
3 years ago
9

The figures below are based on semicircles and squares. Find the perimeter and the area of each shape. Give your answer as a com

pletely simplified exact value in terms of π (no approximations).

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
To find the area, move each semicircle to fill up the square, you'll see there are three squares, each with an area of 4*4=16, so the total area is 3*16=48
Now the perimeter:
the perimeter of a circle is π times the diameter.
perimeter of each semicircle: (1/2)π*4=2π
there are altogether 6 arches and two straight sides, so the total is
2π*6+4*2=12π+8

the area is 48 square units, the perimeter is 12π+8 units.

You might be interested in
Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says
harkovskaia [24]
1/10 



..............................
8 0
3 years ago
The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power
Mumz [18]

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years  

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = P(\bar F S) ∪ P( \bar S F) ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)

=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

4 0
3 years ago
P + (-q) -3 when p= -6 and q=7
DochEvi [55]
Remember, -(-x)=x because the negatives cancel out

so
when p=-6 and q=7

p+(-q)-3
-6+(-7)-3
-6-7-3
-13-3
-16
5 0
3 years ago
There are 84 jars of jelly on a shelf at the store. Of these, 21 are grape. What percent of the jars of jelly are grape?​
Vladimir79 [104]

Answer:

25%

Step-by-step explanation:

Start by dividing 84 by 4 and you get 21. Then take 100 and divide that number by 4, and you get 25. There is your answer. The 21 jars of grape jelly are equal to 25% of the number 84. Hope this helps!

5 0
3 years ago
Dan plotted A(-2, -1), B(3,9), C(-5,1), and D(1,-4) on a coordinate plane. Which point lies in Quandrant 3?
N76 [4]

(-2, -1) lies in quadrant 3, so point A

3 0
3 years ago
Read 2 more answers
Other questions:
  • A math professor writes down two consecutive whole numbers from the range from a through 10. She tells one of the numbers to Mau
    14·1 answer
  • 765ab4 is divisible by 36. Compute all ordered pairs (a, b) for which this is possible
    9·1 answer
  • Steps to solve<br>1/2 / 2/-5 + (-1/4)​
    6·2 answers
  • Evaluate the variable expression xyz for the given values of x, y, and z. x = 4/5 , y = −15, z = 7/8
    13·2 answers
  • Find the unit rate
    12·1 answer
  • The radius of a cylindrical construction pipe is 3.5ft . If the pipe is 38ft long, what is its volume? Use the value 3.14 for (p
    8·1 answer
  • What is the Definition of Algebra?
    6·2 answers
  • 5. What is the distance between two points with coordinates at (17, 21) and (28, 13)?
    13·1 answer
  • In Example 9.2 (p. 214), if you instead carried the suitcase by the handle so that the suitcase was hanging directly at your sid
    7·1 answer
  • Find each percent of change. 30 is decreased to 6
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!